rsin A (should all be same)

Time bar (total: 5.5s)

start0.0ms (0%)

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

analyze531.0ms (9.7%)

Memory
46.5MiB live, 319.4MiB allocated; 819ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (32.5%)

Memory
18.7MiB live, 1 842.7MiB allocated; 366ms collecting garbage
Samples
1.3s6 055×1valid
194.0ms2 201×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 403.0ms (35.7% of total)
ival-sin: 279.0ms (24.7% of total)
adjust: 181.0ms (16% of total)
ival-div!: 180.0ms (15.9% of total)
ival-mult!: 45.0ms (4% of total)
ival-add!: 42.0ms (3.7% of total)
Bogosity

preprocess64.0ms (1.2%)

Memory
-3.6MiB live, 42.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03895
117893
279893
3507493
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 16 to 16 computations (0% saved)

series17.0ms (0.3%)

Memory
7.3MiB live, 53.7MiB allocated; 3ms 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
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)

rewrite233.0ms (4.2%)

Memory
-10.3MiB live, 278.2MiB allocated; 90ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0225925
0232880
11700824
09129788
Stop Event
iter-limit
node-limit
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
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 046 to 495 computations (52.7% saved)

prune21.0ms (0.4%)

Memory
0.8MiB live, 48.7MiB allocated; 3ms collecting garbage
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New682997
Fresh000
Picked101
Done000
Total692998
Accuracy
99.8%
Counts
98 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
74.6%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
74.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
99.4%
(/.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)))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
39.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
38.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
62.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
56.4%
(/.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))))))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
51.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
54.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
50.2%
(/.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))))
54.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
54.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
34.0%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
49.4%
(/.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)))
49.4%
(/.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)))
49.3%
(/.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)))
49.4%
(/.f64 #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)) (cos.f64 (+.f64 a b)))
49.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
49.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
74.0%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
74.7%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
74.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
56.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
49.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 810 to 744 computations (8.1% saved)

series63.0ms (1.2%)

Memory
8.2MiB live, 55.2MiB allocated; 2ms collecting garbage
Counts
39 → 136
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (tan.f64 b))
(tan.f64 b)
(/.f64 (*.f64 r #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)))
(*.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)))
#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 (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 (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))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 b b)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.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 (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 a) (sin.f64 b) (cos.f64 b))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 a)
Outputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* 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 (neg a) #s(hole binary64 (* -1 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (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 (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (/ (cos b) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 (- (* 1/120 (pow b 2)) 1/6)))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))
#s(approx (+ (* -1/5040 (* b b)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* b b)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow b 2)))))
#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 (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 (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* -1/2 b))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1/5040 (pow b 7))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 7) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 7) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 7) (- (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))) (+ 1/5040 (/ 1/6 (pow b 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* -1/5040 (pow b 6))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 6) (- (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))) (+ 1/5040 (/ 1/6 (pow b 4)))))))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 (* -1/5040 (pow b 4))))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 (* (pow b 4) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 (* (pow b 4) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4)))))))
#s(approx (+ (* -1/5040 (* b b)) 1/120) #s(hole binary64 (* -1/5040 (pow b 2))))
#s(approx (+ (* -1/5040 (* b b)) 1/120) #s(hole binary64 (* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 7) (- 1/5040 (* 1/120 (/ 1 (pow b 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 7) (- (+ 1/5040 (/ 1/6 (pow b 4))) (* 1/120 (/ 1 (pow b 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 7) (- (+ 1/5040 (/ 1/6 (pow b 4))) (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
21.0ms
r
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (+ (* -1/5040 (* b b)) 1/120) -1/5040 (* b b) 1/120 -1/6 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (neg a) (sin b)) (cos b)) (neg a))
6.0ms
a
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (+ (* -1/5040 (* b b)) 1/120) -1/5040 (* b b) 1/120 -1/6 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (neg a) (sin b)) (cos b)) (neg a))
6.0ms
b
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (+ (* -1/5040 (* b b)) 1/120) -1/5040 (* b b) 1/120 -1/6 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (neg a) (sin b)) (cos b)) (neg a))
6.0ms
b
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (+ (* -1/5040 (* b b)) 1/120) -1/5040 (* b b) 1/120 -1/6 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (neg a) (sin b)) (cos b)) (neg a))
5.0ms
r
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (+ (* -1/5040 (* b b)) 1/120) -1/5040 (* b b) 1/120 -1/6 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (neg a) (sin b)) (cos b)) (neg a))

rewrite213.0ms (3.9%)

Memory
-13.3MiB live, 310.1MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07143995
07673367
157343298
081363148
Stop Event
iter-limit
node-limit
iter-limit
Counts
175 → 499
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (tan.f64 b))
(tan.f64 b)
(/.f64 (*.f64 r #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)))
(*.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)))
#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 (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 (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))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 b b)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.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 (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 a) (sin.f64 b) (cos.f64 b))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 a)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* 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 (neg a) #s(hole binary64 (* -1 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (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 (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (/ (cos b) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 (- (* 1/120 (pow b 2)) 1/6)))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))
#s(approx (+ (* -1/5040 (* b b)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* b b)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow b 2)))))
#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 (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 (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* -1/2 b))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1/5040 (pow b 7))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 7) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 7) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 7) (- (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))) (+ 1/5040 (/ 1/6 (pow b 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* -1/5040 (pow b 6))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 6) (- (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))) (+ 1/5040 (/ 1/6 (pow b 4)))))))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 (* -1/5040 (pow b 4))))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 (* (pow b 4) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(hole binary64 (* (pow b 4) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4)))))))
#s(approx (+ (* -1/5040 (* b b)) 1/120) #s(hole binary64 (* -1/5040 (pow b 2))))
#s(approx (+ (* -1/5040 (* b b)) 1/120) #s(hole binary64 (* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 7) (- 1/5040 (* 1/120 (/ 1 (pow b 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 7) (- (+ 1/5040 (/ 1/6 (pow b 4))) (* 1/120 (/ 1 (pow b 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 7) (- (+ 1/5040 (/ 1/6 (pow b 4))) (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (cos.f64 a) (cos.f64 b)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (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))))))
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #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 (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 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a 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 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (neg.f64 (cos.f64 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 (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)))
(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 (*.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)))))
(+.f64 (*.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))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (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 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (fabs.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) a)) (cos.f64 (-.f64 (fabs.f64 b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (fabs.f64 a))) (cos.f64 (-.f64 b (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (fabs.f64 b))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (fabs.f64 a))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (fabs.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))
(fma.f64 #s(literal 1 binary64) (cos.f64 b) (*.f64 #s(literal 0 binary64) (sin.f64 b)))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(-.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 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(cos.f64 (neg.f64 (fabs.f64 b)))
(cos.f64 (fabs.f64 (neg.f64 b)))
(cos.f64 (fabs.f64 (fabs.f64 b)))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 (fabs.f64 b))
(cos.f64 b)
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (sin.f64 b)))
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(sin.f64 (+.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 #s(literal 0 binary64) (sin.f64 a)))
(-.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)))))
(-.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(cos.f64 (neg.f64 (fabs.f64 a)))
(cos.f64 (fabs.f64 (fabs.f64 a)))
(cos.f64 (fabs.f64 (neg.f64 a)))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (fabs.f64 a))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 #s(literal 0 binary64) (sin.f64 a)))
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
a
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
(*.f64 (tan.f64 b) r)
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 b (PI.f64)))
(tan.f64 b)
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#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 b) #s(literal 1/120 binary64))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (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)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (/.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) 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)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (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 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (/.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) b))))) (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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (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 (neg a) (neg.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (+.f64 a b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin 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 (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (+.f64 (/.f64 (cos.f64 b) a) (neg.f64 (sin.f64 b))) a))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 a) b))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (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 b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin 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 (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (cos.f64 b) a)) (sin.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) (*.f64 (fma.f64 (*.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 (*.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)) b) b #s(literal 1 binary64)) b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/720 binary64)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (sin.f64 a) #s(literal -1/6 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) (*.f64 b b))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (fma.f64 (*.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)) b) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (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)))
#s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* -1/5040 (* b b)) 1/120) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (+.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)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 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)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.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 (*.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 1/2 binary64)))) (-.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 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (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 (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) b (neg.f64 a)) b #s(literal 1 binary64)))
#s(approx (sin b) (sin.f64 b))
#s(approx (tan b) (tan.f64 b))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (*.f64 (pow.f64 b #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)) (pow.f64 b #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 b #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 b #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 b b))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 b #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (*.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (*.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))))
#s(approx (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 b #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 b b))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 b #s(literal 6 binary64))))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b b))))
#s(approx (+ (* -1/5040 (* b b)) 1/120) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))
#s(approx (+ (* -1/5040 (* b b)) 1/120) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)) (*.f64 b b)))
#s(approx (+ a b) (-.f64 b (neg.f64 a)))
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (neg.f64 (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (neg.f64 (*.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal 1/120 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (* b b)) 1) b) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal 1/120 binary64) (*.f64 b b)))) (pow.f64 b #s(literal -6 binary64))) (pow.f64 b #s(literal 7 binary64)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 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))))

eval87.0ms (1.6%)

Memory
-3.1MiB live, 189.7MiB allocated; 48ms collecting garbage
Compiler

Compiled 5 006 to 2 134 computations (57.4% saved)

prune94.0ms (1.7%)

Memory
33.6MiB live, 169.8MiB allocated; 47ms collecting garbage
Pruning

61 alts after pruning (61 fresh and 0 done)

PrunedKeptTotal
New37450424
Fresh131124
Picked505
Done000
Total39261453
Accuracy
99.8%
Counts
453 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
74.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
54.8%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
74.6%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
74.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.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))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (-.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)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
55.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
56.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
57.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
65.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
54.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
54.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
54.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
58.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (cos.f64 a) (cos.f64 b))))
39.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
38.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
37.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
38.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
35.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
62.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
56.4%
(/.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))))))
51.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
54.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
54.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
32.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
33.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
13.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
49.3%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
49.4%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #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)))
49.9%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
33.9%
(/.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)))))
49.3%
(/.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)))
31.4%
(/.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)) (fma.f64 (neg.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 b))))
21.4%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)))) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
49.4%
(/.f64 #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)) (cos.f64 (+.f64 a b)))
33.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
49.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
34.2%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
49.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
54.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
49.4%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.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)) b) b #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
56.9%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
49.7%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
56.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
56.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
56.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
28.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
56.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
56.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b)))))
56.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
32.6%
#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))))
32.6%
#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))))
32.7%
#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))))
32.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
32.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
32.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
Compiler

Compiled 2 212 to 2 026 computations (8.4% saved)

series54.0ms (1%)

Memory
-4.0MiB live, 91.2MiB allocated; 5ms collecting garbage
Counts
47 → 142
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)
#s(literal 1 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) a))))
(sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) a)
#s(literal 1/2 binary64)
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))
Outputs
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 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 b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* -1 (* r (- (* -1/3 (pow b 2)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (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 (+ (* 1/2 (PI)) a) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* 1/2 (PI)) a) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (sin (+ (+ 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 (+ (* 1/2 (PI)) a) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (PI) a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* 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 (+ (* 1/2 (PI)) a) #s(hole binary64 (* -1 (* a (- (* -1/2 (/ (PI) a)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (+ (* 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 (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (- (* 1/120 (pow b 2)) 1/6)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (* (+ (* 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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* 1/120 (pow b 5))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* 1/120 (pow b 4))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (* 1/120 (pow b 2))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4))))))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 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 1 (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)) a) 1/2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) (sin b) (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (+ (* (* b b) 1/120) -1/6) 1/120 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
8.0ms
r
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 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 1 (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)) a) 1/2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) (sin b) (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (+ (* (* b b) 1/120) -1/6) 1/120 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
6.0ms
r
@0
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 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 1 (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)) a) 1/2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) (sin b) (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (+ (* (* b b) 1/120) -1/6) 1/120 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
5.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 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 1 (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)) a) 1/2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) (sin b) (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (+ (* (* b b) 1/120) -1/6) 1/120 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
5.0ms
b
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 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 1 (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)) a) 1/2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) (sin b) (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (+ (* (* b b) 1/120) -1/6) 1/120 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))

rewrite193.0ms (3.5%)

Memory
-6.9MiB live, 224.1MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07534159
08163416
160093390
086493249
Stop Event
iter-limit
node-limit
iter-limit
Counts
189 → 551
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)
#s(literal 1 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) a))))
(sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) a)
#s(literal 1/2 binary64)
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 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 b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* -1 (* r (- (* -1/3 (pow b 2)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (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 (+ (* 1/2 (PI)) a) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* 1/2 (PI)) a) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (sin (+ (+ 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 (+ (* 1/2 (PI)) a) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (PI) a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* 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 (+ (* 1/2 (PI)) a) #s(hole binary64 (* -1 (* a (- (* -1/2 (/ (PI) a)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (+ (* 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 (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (- (* 1/120 (pow b 2)) 1/6)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (* (+ (* 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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* 1/120 (pow b 5))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* 1/120 (pow b 4))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (* 1/120 (pow b 2))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4))))))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 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 (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 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 (-.f64 a (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (cos.f64 (-.f64 b a)))
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(fma.f64 #s(literal 1/2 binary64) (PI.f64) a)
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(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 a))
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(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 1/2 binary64)
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#s(literal 1/120 binary64)
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(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (fabs.f64 a))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (neg.f64 a))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (fabs.f64 b))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))
#s(approx (/ (* r (sin b)) (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 (-.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 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (sin a) a)
#s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (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)))) (*.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) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (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 (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* 1/2 (PI)) a) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/6 binary64) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 b) #s(literal 1/120 binary64))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (* (cos a) (cos b)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (cos a) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 (+ (* 1/2 (PI)) a) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (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) (neg (sin b))) (* (cos a) (cos b))) (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 (+ (* 1/2 (PI)) a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) #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 #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 (*.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 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (neg (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (* 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 (+ (* (* b b) -1/6) 1) (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (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 (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* (* b b) 1/120) -1/6) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (sin.f64 a) #s(literal -1/6 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) (*.f64 b b))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (sin b) (sin.f64 b))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))
#s(approx (* (+ (* (* b b) -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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal 1/6 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b)))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal 1/6 binary64) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b b))))
#s(approx (+ (* (* b b) 1/120) -1/6) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))
#s(approx (+ (* (* b b) 1/120) -1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (/ (* r (sin b)) (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) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b)))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64)))))

eval66.0ms (1.2%)

Memory
2.9MiB live, 101.5MiB allocated; 14ms collecting garbage
Compiler

Compiled 6 326 to 2 567 computations (59.4% saved)

prune70.0ms (1.3%)

Memory
20.6MiB live, 113.7MiB allocated; 4ms collecting garbage
Pruning

82 alts after pruning (81 fresh and 1 done)

PrunedKeptTotal
New46431495
Fresh65056
Picked415
Done000
Total47482556
Accuracy
99.9%
Counts
556 → 82
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
74.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
54.8%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
74.6%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
99.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (*.f64 (cos.f64 a) (cos.f64 b))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.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))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.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))))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
58.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
75.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.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))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (-.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)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
55.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
56.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
57.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
65.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
54.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
54.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
54.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
58.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))))
90.2%
(/.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))))
39.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
38.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
37.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
28.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))))
37.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
62.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
56.4%
(/.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))))))
51.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
54.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
54.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
32.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
33.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
13.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
49.1%
(/.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 (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 (cos.f64 a) (cos.f64 b))))
32.3%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
49.3%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
49.0%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
49.4%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #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)))
49.9%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
33.9%
(/.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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a 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) b))))
49.1%
(/.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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
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))) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 a)))
31.4%
(/.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)) (fma.f64 (neg.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 b))))
21.4%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)))) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
33.9%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
16.1%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b))) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
49.4%
(/.f64 #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)) (cos.f64 (+.f64 a b)))
33.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
49.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
34.2%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.0%
(/.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) a))))
49.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
38.6%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
54.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
49.4%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.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)) b) b #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
49.3%
(*.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))))
56.9%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
49.7%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
56.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
56.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
56.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
28.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
56.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
56.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b)))))
56.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
32.6%
#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))))
32.6%
#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))))
32.7%
#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))))
32.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
32.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
32.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
15.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
32.7%
#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)))
11.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
16.5%
#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)))
9.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
16.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
Compiler

Compiled 3 203 to 2 912 computations (9.1% saved)

series106.0ms (1.9%)

Memory
-75.0MiB live, 63.7MiB allocated; 88ms collecting garbage
Counts
39 → 118
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 b b) b) r)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
#s(literal 1/3 binary64)
(*.f64 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 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (*.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(literal 1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b)))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (cos.f64 b) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)))
(neg.f64 (sin.f64 b))
(*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))
#s(approx (cos a) #s(literal 1 binary64))
Outputs
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (* (* (* (* b b) b) r) 1/3) #s(hole binary64 (* 1/3 (* (pow b 3) r))))
#s(approx (* (* (* b b) b) r) #s(hole binary64 (* (pow b 3) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (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 (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (* (* b b) b) #s(hole binary64 (pow b 3)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (* r (/ 1 (/ (cos b) (sin b)))) #s(hole binary64 (* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))))
#s(approx (* r (/ 1 (/ (cos b) (sin b)))) #s(hole binary64 (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))))
#s(approx (* r (/ 1 (/ (cos b) (sin b)))) #s(hole binary64 (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))))
#s(approx (/ 1 (/ (cos b) (sin b))) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (/ 1 (/ (cos b) (sin b))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (/ 1 (/ (cos b) (sin b))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (cos b) (sin b)) #s(hole binary64 (/ 1 b)))
#s(approx (/ (cos b) (sin b)) #s(hole binary64 (/ (+ 1 (* -1/3 (pow b 2))) b)))
#s(approx (/ (cos b) (sin b)) #s(hole binary64 (/ (+ 1 (* (pow b 2) (- (* -1/45 (pow b 2)) 1/3))) b)))
#s(approx (/ (cos b) (sin b)) #s(hole binary64 (/ (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (pow b 2)) 1/45)) 1/3))) b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (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 (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (cos b) (sin b)) #s(hole binary64 (/ (cos b) (sin 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
58.0ms
r
@0
((/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (sin b) b r (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* r (/ 1 (/ (cos b) (sin b)))) (/ 1 (/ (cos b) (sin b))) (/ (cos b) (sin b)) (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (neg (sin b)) (* (cos a) (cos b)) (cos a))
15.0ms
b
@-inf
((/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (sin b) b r (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* r (/ 1 (/ (cos b) (sin b)))) (/ 1 (/ (cos b) (sin b))) (/ (cos b) (sin b)) (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (neg (sin b)) (* (cos a) (cos b)) (cos a))
7.0ms
r
@-inf
((/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (sin b) b r (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* r (/ 1 (/ (cos b) (sin b)))) (/ 1 (/ (cos b) (sin b))) (/ (cos b) (sin b)) (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (neg (sin b)) (* (cos a) (cos b)) (cos a))
6.0ms
r
@inf
((/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (sin b) b r (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* r (/ 1 (/ (cos b) (sin b)))) (/ 1 (/ (cos b) (sin b))) (/ (cos b) (sin b)) (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (neg (sin b)) (* (cos a) (cos b)) (cos a))
6.0ms
b
@inf
((/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (sin b) b r (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* r (/ 1 (/ (cos b) (sin b)))) (/ 1 (/ (cos b) (sin b))) (/ (cos b) (sin b)) (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (neg (sin b)) (* (cos a) (cos b)) (cos a))

rewrite186.0ms (3.4%)

Memory
33.9MiB live, 174.4MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06773229
07302755
152722753
081082612
Stop Event
iter-limit
node-limit
iter-limit
Counts
157 → 426
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 b b) b) r)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
#s(literal 1/3 binary64)
(*.f64 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 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (*.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(literal 1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b)))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (cos.f64 b) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)))
(neg.f64 (sin.f64 b))
(*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (* (* (* (* b b) b) r) 1/3) #s(hole binary64 (* 1/3 (* (pow b 3) r))))
#s(approx (* (* (* b b) b) r) #s(hole binary64 (* (pow b 3) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (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 (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (* (* b b) b) #s(hole binary64 (pow b 3)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (* r (/ 1 (/ (cos b) (sin b)))) #s(hole binary64 (* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))))
#s(approx (* r (/ 1 (/ (cos b) (sin b)))) #s(hole binary64 (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))))
#s(approx (* r (/ 1 (/ (cos b) (sin b)))) #s(hole binary64 (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))))
#s(approx (/ 1 (/ (cos b) (sin b))) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (/ 1 (/ (cos b) (sin b))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (/ 1 (/ (cos b) (sin b))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (cos b) (sin b)) #s(hole binary64 (/ 1 b)))
#s(approx (/ (cos b) (sin b)) #s(hole binary64 (/ (+ 1 (* -1/3 (pow b 2))) b)))
#s(approx (/ (cos b) (sin b)) #s(hole binary64 (/ (+ 1 (* (pow b 2) (- (* -1/45 (pow b 2)) 1/3))) b)))
#s(approx (/ (cos b) (sin b)) #s(hole binary64 (/ (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (pow b 2)) 1/45)) 1/3))) b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (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 (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (cos b) (sin b)) #s(hole binary64 (/ (cos b) (sin 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(sin.f64 b)
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
r
(*.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 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 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 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(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 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (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 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 (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 (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)))
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(cos.f64 (fabs.f64 (fabs.f64 b)))
(cos.f64 (fabs.f64 (neg.f64 b)))
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(cos.f64 (neg.f64 (fabs.f64 a)))
(cos.f64 (fabs.f64 (fabs.f64 a)))
(cos.f64 (fabs.f64 (neg.f64 a)))
(cos.f64 (neg.f64 (neg.f64 a)))
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a
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(*.f64 (sin.f64 b) (sin.f64 a))
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(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
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(-.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)
#s(literal 1 binary64)
(*.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)))
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(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(sin.f64 (+.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
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(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.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 (neg.f64 b)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (neg.f64 b) (*.f64 b b))) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b)))))
(neg.f64 (-.f64 (neg.f64 b) a))
(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)
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
(*.f64 (tan.f64 b) r)
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(*.f64 r (tan.f64 b))
(pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))
(*.f64 #s(literal 1 binary64) (tan.f64 b))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) #s(literal -1 binary64))
(/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 b (PI.f64)))
(tan.f64 b)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64)))
(*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(pow.f64 (tan.f64 b) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cos.f64 b)) (neg.f64 (sin.f64 b)))
(/.f64 (cos.f64 b) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (tan.f64 b))
(tan.f64 (+.f64 (neg.f64 (+.f64 b (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(tan.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (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)))))
(pow.f64 (/.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)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (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 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) #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) #s(approx (cos a) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 #s(approx (cos a) #s(literal 1 binary64))) (cos.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (neg.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal -1 binary64))
(neg.f64 (sin.f64 b))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 b))
(sin.f64 (+.f64 b (PI.f64)))
(fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (fabs.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (PI.f64))) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))
(*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (tan.f64 b) r))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r) b))
#s(approx (* (* (* (* b b) b) r) 1/3) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))
#s(approx (* (* (* b b) b) r) (*.f64 (*.f64 (*.f64 b b) b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (neg.f64 b) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal -1 binary64)) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (tan.f64 b) r (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) (sin.f64 b))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (sin a) (*.f64 (fma.f64 (*.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 (+ a b))) (tan.f64 b))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (tan.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (tan.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) a) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (tan.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (+.f64 a b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 a) b))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 a) b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (sin b) r) (*.f64 r b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) (*.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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (sin.f64 a) #s(literal -1/6 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) (*.f64 b b))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b))
#s(approx (* r (/ 1 (/ (cos b) (sin 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 (/ 1 (/ (cos b) (sin 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 (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) b))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) b) (neg.f64 (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (sin.f64 a) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (cos.f64 a))))) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b) (neg.f64 (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b))
#s(approx (+ (* (* b b) -1/6) 1) (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) r) (*.f64 b b) r) b))
#s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 #s(literal 1/120 binary64) r) (fma.f64 (*.f64 #s(literal 1/3 binary64) r) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) r))) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 #s(literal -1/2 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) r) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) r) (fma.f64 (*.f64 #s(literal 1/3 binary64) r) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) r))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) r) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) r)))) (*.f64 b b) (*.f64 #s(literal 1/120 binary64) r)) (fma.f64 (*.f64 #s(literal 1/3 binary64) r) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) r))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 #s(literal -1/2 binary64) r)) (*.f64 b b) r) b))
#s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))
#s(approx (/ 1 (/ (cos b) (sin 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 (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 b b) #s(literal -1/45 binary64)) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (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 (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 (+ a b) (-.f64 b (neg.f64 a)))
#s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) (tan.f64 b)))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (neg.f64 b) (*.f64 b b)) (fma.f64 #s(literal -1/3 binary64) r (neg.f64 (/.f64 r (*.f64 b b))))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (*.f64 (neg.f64 b) (*.f64 b b)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval66.0ms (1.2%)

Memory
-15.4MiB live, 72.8MiB allocated; 15ms collecting garbage
Compiler

Compiled 4 306 to 2 032 computations (52.8% saved)

prune114.0ms (2.1%)

Memory
9.1MiB live, 111.5MiB allocated; 12ms collecting garbage
Pruning

97 alts after pruning (91 fresh and 6 done)

PrunedKeptTotal
New35354407
Fresh393776
Picked055
Done011
Total39297489
Accuracy
99.9%
Counts
489 → 97
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
99.3%
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
74.7%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 b)) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.0%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
55.9%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
56.6%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
57.2%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
65.2%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
54.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
54.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
54.3%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))))
90.2%
(/.f64 (*.f64 (sin.f64 b) r) (*.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))))
74.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
54.8%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
51.2%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
54.2%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
56.8%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b)))
99.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (*.f64 (cos.f64 a) (cos.f64 b))))
56.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.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))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.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))))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
58.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))))))
38.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
37.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))))
58.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
75.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (*.f64 (cos.f64 a) (cos.f64 b))))
56.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.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))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (-.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)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
58.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
39.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
38.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
37.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
28.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))))
37.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
62.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
56.4%
(/.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))))))
54.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
32.1%
(/.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 (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 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
32.3%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
49.3%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
49.0%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
49.4%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #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)))
49.9%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
33.9%
(/.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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
49.1%
(/.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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
21.4%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)))) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
49.4%
(/.f64 #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)) (cos.f64 (+.f64 a b)))
49.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
58.1%
(*.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)))))
74.8%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
58.1%
(*.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)))))
38.6%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
54.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
49.4%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.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)) b) b #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
49.3%
(*.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))))
49.1%
(*.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 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
49.3%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
49.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
56.9%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
49.7%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
56.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))))
56.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
56.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
28.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
56.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
56.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b)))))
38.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 b)))))
37.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 b)))))
56.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
56.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b)))))
7.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
33.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 b b) #s(literal -1/45 binary64)) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))
33.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))
33.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))))
33.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))))
56.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))))
27.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64)))))
32.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin 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))))
32.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin 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))))
32.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))))
32.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin 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)))
32.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
11.5%
#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)))
7.9%
#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 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
16.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
16.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
7.9%
#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)))))
16.5%
#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 r b)) #s(literal 1/3 binary64)))))
16.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
16.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fabs.f64 (*.f64 (*.f64 b b) b)) r) #s(literal 1/3 binary64)))))
7.9%
#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)))))
Compiler

Compiled 3 559 to 2 522 computations (29.1% saved)

regimes230.0ms (4.2%)

Memory
4.2MiB live, 325.9MiB allocated; 34ms collecting garbage
Counts
165 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #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 (*.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 r b)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
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(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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 (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 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(*.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 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (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)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
(/.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 (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 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 b)) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.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 (sin.f64 b) r) (*.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)) (fma.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (-.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)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.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))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.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 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
Calls

4 calls:

76.0ms
a
54.0ms
b
47.0ms
r
44.0ms
(/.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)

regimes200.0ms (3.6%)

Memory
-8.9MiB live, 272.8MiB allocated; 63ms collecting garbage
Counts
145 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #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 (*.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 r b)) #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)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fabs.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
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(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(*.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 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (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)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
(/.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 (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 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

4 calls:

53.0ms
a
47.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
45.0ms
r
43.0ms
b
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes204.0ms (3.7%)

Memory
35.7MiB live, 301.6MiB allocated; 53ms collecting garbage
Counts
141 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #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 (*.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 r b)) #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)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fabs.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 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 (*.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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 b b) #s(literal -1/45 binary64)) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 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) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.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) b))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 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 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 b (*.f64 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 (*.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 (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) 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))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #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 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64)))))
(/.f64 #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)) (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))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.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)) 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) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)))) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.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)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (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) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 b)))))
(/.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 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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 (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 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(*.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 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (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)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
(/.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 (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 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
Calls

4 calls:

63.0ms
b
53.0ms
r
41.0ms
a
40.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
74.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
74.8%1r
74.8%1a
74.8%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes105.0ms (1.9%)

Memory
-2.1MiB live, 141.9MiB allocated; 27ms collecting garbage
Counts
68 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #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 (*.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 r b)) #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)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fabs.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 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 (*.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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 b b) #s(literal -1/45 binary64)) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 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) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.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) b))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 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 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 b (*.f64 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 (*.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 (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) 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))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #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 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64)))))
(/.f64 #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)) (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))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.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)) 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) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* b b)) 1/120) (* b b)) -1/6) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)))) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
Calls

4 calls:

32.0ms
a
32.0ms
r
20.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
17.0ms
b
Results
AccuracySegmentsBranch
59.0%2(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
63.5%2r
73.6%3b
74.2%3a
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes50.0ms (0.9%)

Memory
-21.7MiB live, 100.2MiB allocated; 28ms collecting garbage
Counts
64 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #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 (*.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 r b)) #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)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fabs.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 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 (*.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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 b b) #s(literal -1/45 binary64)) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 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) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.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) b))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 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 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 b (*.f64 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 (*.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 (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) 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))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #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 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64)))))
(/.f64 #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)) (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))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.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)) 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) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.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)) 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)))
Calls

2 calls:

27.0ms
b
20.0ms
a
Results
AccuracySegmentsBranch
73.6%3b
71.8%3a
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes20.0ms (0.4%)

Memory
13.0MiB live, 59.1MiB allocated; 2ms collecting garbage
Counts
61 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #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 (*.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 r b)) #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)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fabs.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 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 (*.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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 b b) #s(literal -1/45 binary64)) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 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) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.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) b))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 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 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 b (*.f64 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 (*.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 (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) 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))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #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 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64)))))
(/.f64 #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)) (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))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.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)) 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)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.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)) b) b #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))))
Calls

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
73.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes19.0ms (0.3%)

Memory
10.1MiB live, 56.8MiB allocated; 2ms collecting garbage
Counts
59 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #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 (*.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 r b)) #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)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fabs.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 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 (*.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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 b b) #s(literal -1/45 binary64)) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 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) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.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) b))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 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 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 b (*.f64 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 (*.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 (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) 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))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #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 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64)))))
(/.f64 #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)) (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))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 b))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))))
Calls

1 calls:

16.0ms
b
Results
AccuracySegmentsBranch
73.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory
-12.1MiB live, 34.5MiB allocated; 2ms collecting garbage
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #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 (*.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 r b)) #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)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fabs.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 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 (*.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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 b b) #s(literal -1/45 binary64)) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
Outputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
73.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes44.0ms (0.8%)

Memory
19.4MiB live, 111.5MiB allocated; 12ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #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 (*.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 r b)) #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)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fabs.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 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 (*.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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 b b) #s(literal -1/45 binary64)) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Outputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
Calls

4 calls:

15.0ms
r
10.0ms
b
8.0ms
a
8.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
56.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
56.9%1r
56.9%1a
56.9%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes48.0ms (0.9%)

Memory
-7.4MiB live, 80.0MiB allocated; 18ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #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 (*.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 r b)) #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)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fabs.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 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 (*.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))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 b b) #s(literal -1/45 binary64)) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))))
Calls

4 calls:

19.0ms
b
11.0ms
r
8.0ms
a
7.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
33.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
33.6%1r
33.6%1a
33.6%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes28.0ms (0.5%)

Memory
-25.8MiB live, 30.8MiB allocated; 17ms collecting garbage
Accuracy

Total -11.2b remaining (-26.2%)

Threshold costs -11.2b (-26.2%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #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 (*.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 r b)) #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)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fabs.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (/ 1 (/ (cos b) (sin b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (/ 1 (/ (cos b) (sin b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))))
Calls

4 calls:

17.0ms
r
4.0ms
b
3.0ms
a
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
33.1%1r
33.1%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
33.1%1a
33.1%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

bsearch36.0ms (0.6%)

Memory
11.7MiB live, 59.4MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
5.60706970883248e-12
8.407189021830318e-12
25.0ms
-2984.0029127054604
-3.2408835551344756e-24
Samples
18.0ms108×1valid
7.0ms132×0valid
Compiler

Compiled 402 to 419 computations (-4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 7.0ms (38.6% of total)
ival-cos: 5.0ms (27.6% of total)
adjust: 2.0ms (11% of total)
ival-add!: 1.0ms (5.5% of total)
ival-div!: 1.0ms (5.5% of total)
ival-mult!: 1.0ms (5.5% of total)

bsearch51.0ms (0.9%)

Memory
-10.6MiB live, 81.7MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
0.35763612580346066
177626824984.3108
21.0ms
-54.79090196226129
-3.299690184324024e-8
Samples
27.0ms197×1valid
7.0ms107×0valid
Compiler

Compiled 639 to 660 computations (-3.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 11.0ms (43.9% of total)
ival-sin: 5.0ms (20% of total)
adjust: 4.0ms (16% of total)
ival-div!: 2.0ms (8% of total)
ival-mult!: 2.0ms (8% of total)
ival-add!: 1.0ms (4% of total)

bsearch3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.35763612580346066
177626824984.3108
1.0ms
-54.79090196226129
-3.299690184324024e-8
Compiler

Compiled 639 to 660 computations (-3.3% saved)

bsearch36.0ms (0.7%)

Memory
7.9MiB live, 57.8MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
0.003114476465899015
0.1563056916862138
17.0ms
-3.299690184324024e-8
-1.063233936034129e-10
Samples
20.0ms150×1valid
5.0ms90×0valid
Compiler

Compiled 387 to 419 computations (-8.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 9.0ms (49.3% of total)
adjust: 3.0ms (16.4% of total)
ival-sin: 3.0ms (16.4% of total)
ival-div!: 2.0ms (11% of total)
ival-add!: 1.0ms (5.5% of total)
ival-mult!: 1.0ms (5.5% of total)

bsearch2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.003114476465899015
0.1563056916862138
1.0ms
-3.299690184324024e-8
-1.063233936034129e-10
Compiler

Compiled 432 to 449 computations (-3.9% saved)

derivations311.0ms (5.7%)

Memory
-12.5MiB live, 367.0MiB allocated; 46ms collecting garbage
Stop Event
fuel
Compiler

Compiled 135 to 94 computations (30.4% saved)

preprocess118.0ms (2.1%)

Memory
7.1MiB live, 289.0MiB allocated; 18ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 643 to 566 computations (12% saved)

end0.0ms (0%)

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

Profiling

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