rsin A (should all be same)

Time bar (total: 5.2s)

start0.0ms (0%)

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

analyze367.0ms (7.1%)

Memory
18.5MiB live, 393.6MiB allocated; 56ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (31.5%)

Memory
48.2MiB live, 1 788.4MiB allocated; 348ms collecting garbage
Samples
1.1s5 995×1valid
244.0ms2 261×0valid
Precisions
Click to see histograms. Total time spent on operations: 976.0ms
ival-cos: 308.0ms (31.5% of total)
ival-sin: 209.0ms (21.4% of total)
adjust: 175.0ms (17.9% of total)
ival-div: 105.0ms (10.8% of total)
ival-add: 102.0ms (10.4% of total)
ival-mult: 74.0ms (7.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain158.0ms (3%)

Memory
1.3MiB live, 142.5MiB allocated; 24ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
71122(6.929676813327128e+164 -1.2426394171470482e-284 -1.2318918296316462e+302)0-(cos.f64 (+.f64 a b))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-(*.f64 r (sin.f64 b))
00-0-r
00-0-b
00-0-(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1930
Confusion
Predicted +Predicted -
+710
-12263
Precision
0.36787564766839376
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7100
-122063
Precision?
0.36787564766839376
Recall?
1.0
Freqs
test
numberfreq
063
1193
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
79.0ms374×1valid
10.0ms138×0valid
Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 17.0ms (26.9% of total)
ival-cos: 16.0ms (25.3% of total)
ival-sin: 11.0ms (17.4% of total)
adjust: 9.0ms (14.2% of total)
ival-add: 5.0ms (7.9% of total)
ival-div: 4.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess229.0ms (4.4%)

Memory
4.0MiB live, 196.3MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03897
110397
225197
357397
4101397
5204597
6433797
089
0139
1249
2429
3659
4839
51079
62059
77999
852909
082779
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

series19.0ms (0.4%)

Memory
-12.3MiB live, 32.2MiB allocated; 5ms collecting garbage
Counts
8 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
r
@0
((/ (* 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
a
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
r
@-inf
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)

rewrite221.0ms (4.3%)

Memory
0.1MiB live, 226.1MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228937
0235901
11325845
08049811
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
50 → 77
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (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 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))))
(+.f64 a b)
(+.f64 b a)
a
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (fma.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))))) (*.f64 #s(literal 1 binary64) (*.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 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (/.f64 (*.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))))) (sin.f64 b)) (cos.f64 b))))) (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 (*.f64 #s(literal 1 binary64) (*.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 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (cos (+ a b)) (fma.f64 (-.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)) a (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx a a)
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (cos (+ a b)) (cos.f64 a))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 (-.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)) b (cos.f64 a)))
#s(approx (sin b) (sin.f64 b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 a (neg.f64 b))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval10.0ms (0.2%)

Memory
22.3MiB live, 22.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 566 to 357 computations (77.2% saved)

prune70.0ms (1.4%)

Memory
-73.8MiB live, 33.1MiB allocated; 89ms collecting garbage
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New611879
Fresh000
Picked011
Done000
Total611980
Accuracy
99.8%
Counts
80 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
36.4%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
75.7%
(/.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)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
▶99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
38.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶38.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶32.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
✓76.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
58.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
▶53.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
35.0%
(/.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 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
49.7%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
76.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
57.1%
#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))))
▶59.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
49.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 685 to 458 computations (33.1% saved)

series126.0ms (2.4%)

Memory
7.1MiB live, 145.2MiB allocated; 19ms collecting garbage
Counts
37 → 210
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 (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(cos.f64 #s(approx (+ a b) a))
#s(approx (+ a b) a)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 a #s(literal 3 binary64))
(fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))
(-.f64 (*.f64 a a) (*.f64 b a))
(*.f64 a a)
(*.f64 b 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 (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (cos b)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 b))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (+ a b)))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (pow b 3)))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (+ (pow a 3) (pow b 3))))
#s(approx (pow a 3) #s(hole binary64 (pow a 3)))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (+ (* -1 (* a b)) (pow b 2))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (+ (* a (- a b)) (pow b 2))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (* -1 (* a b))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (* a (- a b))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (* b a) #s(hole binary64 (* a b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 a)))
#s(approx (neg (+ a b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 a))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))))))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (pow a 3)))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (pow a 2)))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ b a))))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (* (pow a 2) (+ 1 (* -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)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (/ (* r (sin b)) (cos (/ (- (pow b 3) (* -1 (pow a 3))) (- (+ (pow a 2) (pow b 2)) (* a b)))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (cos (/ (- (pow b 3) (* -1 (pow a 3))) (- (+ (pow a 2) (pow b 2)) (* a b))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -1 b)) a)) 1)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 b)) a)) 1)))))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (cos a)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (pow b 3) #s(hole binary64 (pow b 3)))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (+ (* -1 (* a b)) (pow a 2))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (+ (* b (- b a)) (pow a 2))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (+ (* -1 (* a b)) (pow a 2))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (* -1 (/ a b))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2))))))))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ a b))))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (* b (- (/ (pow a 2) b) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (/ (* r (sin b)) (cos (/ (- (pow a 3) (* -1 (pow b 3))) (- (+ (pow a 2) (pow b 2)) (* a b)))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (cos (/ (- (pow a 3) (* -1 (pow b 3))) (- (+ (pow a 2) (pow b 2)) (* a b))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1)))))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow a 2) b)) (* -1 a)) b))))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (pow a 2) b)) (* -1 a))))))
Calls

9 calls:

TimeVariablePointExpression
53.0ms
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))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (+ (pow b 3) (pow a 3)) (pow b 3) 3 (pow a 3) (+ (* b b) (- (* a a) (* b a))) (- (* a a) (* b a)) (* a a) (* b a))
14.0ms
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))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (+ (pow b 3) (pow a 3)) (pow b 3) 3 (pow a 3) (+ (* b b) (- (* a a) (* b a))) (- (* a a) (* b a)) (* a a) (* b a))
12.0ms
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))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (+ (pow b 3) (pow a 3)) (pow b 3) 3 (pow a 3) (+ (* b b) (- (* a a) (* b a))) (- (* a a) (* b a)) (* a a) (* b a))
10.0ms
r
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (+ (pow b 3) (pow a 3)) (pow b 3) 3 (pow a 3) (+ (* b b) (- (* a a) (* b a))) (- (* a a) (* b a)) (* a a) (* b a))
7.0ms
r
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (+ (pow b 3) (pow a 3)) (pow b 3) 3 (pow a 3) (+ (* b b) (- (* a a) (* b a))) (- (* a a) (* b a)) (* a a) (* b a))

rewrite237.0ms (4.6%)

Memory
5.1MiB live, 247.4MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08776280
09274978
151374978
081184808
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
247 → 453
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 (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(cos.f64 #s(approx (+ a b) a))
#s(approx (+ a b) a)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 a #s(literal 3 binary64))
(fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))
(-.f64 (*.f64 a a) (*.f64 b a))
(*.f64 a a)
(*.f64 b 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 (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (cos b)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 b))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (+ a b)))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (pow b 3)))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (+ (pow a 3) (pow b 3))))
#s(approx (pow a 3) #s(hole binary64 (pow a 3)))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (+ (* -1 (* a b)) (pow b 2))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (+ (* a (- a b)) (pow b 2))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (* -1 (* a b))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (* a (- a b))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (* b a) #s(hole binary64 (* a b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 a)))
#s(approx (neg (+ a b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 a))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))))))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (pow a 3)))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (pow a 2)))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ b a))))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (* (pow a 2) (+ 1 (* -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)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (/ (* r (sin b)) (cos (/ (- (pow b 3) (* -1 (pow a 3))) (- (+ (pow a 2) (pow b 2)) (* a b)))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (cos (/ (- (pow b 3) (* -1 (pow a 3))) (- (+ (pow a 2) (pow b 2)) (* a b))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -1 b)) a)) 1)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 b)) a)) 1)))))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (cos a)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (pow b 3) #s(hole binary64 (pow b 3)))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (+ (* -1 (* a b)) (pow a 2))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (+ (* b (- b a)) (pow a 2))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (+ (* -1 (* a b)) (pow a 2))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (* -1 (/ a b))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2))))))))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ a b))))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (* b (- (/ (pow a 2) b) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) #s(hole binary64 (/ (* r (sin b)) (cos (/ (- (pow a 3) (* -1 (pow b 3))) (- (+ (pow a 2) (pow b 2)) (* a b)))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) #s(hole binary64 (cos (/ (- (pow a 3) (* -1 (pow b 3))) (- (+ (pow a 2) (pow b 2)) (* a b))))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1)))))
#s(approx (+ (pow b 3) (pow a 3)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))))
#s(approx (+ (* b b) (- (* a a) (* b a))) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow a 2) b)) (* -1 a)) b))))))
#s(approx (- (* a a) (* b a)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (pow a 2) b)) (* -1 a))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
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(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
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(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
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(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 b))
(cos.f64 b)
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(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (*.f64 (sin.f64 a) #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 (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (tan.f64 b) r))
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 b)))
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(/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 b (PI.f64)))
(tan.f64 b)
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(sin.f64 (+.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a)))
(cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))
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#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a)
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(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
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(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
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(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b)))
(neg.f64 (+.f64 a b))
(fma.f64 #s(literal -1 binary64) a (neg.f64 b))
(fma.f64 a #s(literal -1 binary64) (neg.f64 b))
(+.f64 (neg.f64 a) (neg.f64 b))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(+.f64 a b)
(+.f64 b a)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a 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 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)))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
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(+.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 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(+.f64 a b)
(+.f64 b a)
(*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (+.f64 a b))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (+.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (*.f64 b b) b (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (*.f64 a a) a (pow.f64 b #s(literal 3 binary64)))
(fma.f64 a (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 b (*.f64 b b) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (*.f64 b b) b)
(*.f64 b (*.f64 b b))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 b #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))))
#s(literal 3 binary64)
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(*.f64 (*.f64 a a) a)
(*.f64 a (*.f64 a a))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 a #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (+.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (-.f64 a b) a) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 2 binary64))) (-.f64 (*.f64 b b) (*.f64 (-.f64 a b) a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 a b) a) (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (*.f64 (-.f64 a b) a)))))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (-.f64 (*.f64 b b) (*.f64 a b)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (-.f64 (*.f64 b b) (*.f64 a b)))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (-.f64 a b) a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 (-.f64 a b) a))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (-.f64 (*.f64 b b) (*.f64 a b)))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (-.f64 a b) a))
(fma.f64 (-.f64 a b) a (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (-.f64 a b) a))
(fma.f64 (neg.f64 a) (neg.f64 a) (-.f64 (*.f64 b b) (*.f64 a b)))
(fma.f64 a (-.f64 a b) (*.f64 b b))
(fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))
(fma.f64 b b (*.f64 (-.f64 a b) a))
(-.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a b))
(+.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (neg.f64 a) b))
(+.f64 (*.f64 b b) (*.f64 (-.f64 a b) a))
(+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 a b)))
(+.f64 (*.f64 (-.f64 a b) a) (*.f64 b b))
(*.f64 (-.f64 a b) a)
(*.f64 a (-.f64 a b))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (fma.f64 a a (*.f64 a b)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (*.f64 a b)))))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) a))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (*.f64 (neg.f64 b) a))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 b) a))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) a))
(fma.f64 a a (*.f64 (neg.f64 b) a))
(-.f64 (*.f64 a a) (*.f64 a b))
(+.f64 (*.f64 a a) (*.f64 (neg.f64 b) a))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
(*.f64 a b)
(*.f64 b a)
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (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 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 b))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.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)) a (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (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 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) (sin.f64 b) (*.f64 #s(literal -1/6 binary64) (sin.f64 b))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) (sin.f64 b) (*.f64 #s(literal 1/120 binary64) (sin.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) (sin.f64 b))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (sin a) a)
#s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (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 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 b))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.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)) a (cos.f64 b)))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) b)
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (+.f64 a b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b))) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (*.f64 (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))))) a (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (neg.f64 a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal -1/2 binary64))) a (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))
#s(approx (neg (+ a b)) (neg.f64 b))
#s(approx (neg (+ a b)) (-.f64 (neg.f64 a) b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (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 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 b))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.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)) a (cos.f64 b)))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) b)
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (+.f64 a b))
#s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64)))
#s(approx (+ (pow b 3) (pow a 3)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (pow a 3) (pow.f64 a #s(literal 3 binary64)))
#s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 b b))
#s(approx (+ (* b b) (- (* a a) (* b a))) (fma.f64 (neg.f64 a) b (*.f64 b b)))
#s(approx (+ (* b b) (- (* a a) (* b a))) (fma.f64 (-.f64 a b) a (*.f64 b b)))
#s(approx (- (* a a) (* b a)) (*.f64 (neg.f64 a) b))
#s(approx (- (* a a) (* b a)) (*.f64 (-.f64 a b) a))
#s(approx (* a a) (*.f64 a a))
#s(approx (* b a) (*.f64 a b))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b 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 (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 (+.f64 a b)))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a)
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 b a)) a))
#s(approx (neg (+ a b)) (neg.f64 a))
#s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 (+.f64 a b)))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a)
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (neg.f64 b) a)) a))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) a))
#s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64)))
#s(approx (+ (pow b 3) (pow a 3)) (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 a a))
#s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a))) (*.f64 a a)))
#s(approx (- (* a a) (* b a)) (*.f64 a a))
#s(approx (- (* a a) (* b a)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (neg (+ a b)) (*.f64 (neg.f64 a) (+.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a) (*.f64 #s(literal 1 binary64) b)) a)) #s(literal 1 binary64))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) a)) (*.f64 #s(literal 0 binary64) (*.f64 b b))) a) b)) a)) #s(literal 1 binary64))))
#s(approx (+ (pow b 3) (pow a 3)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b b) a) b)) a) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 a))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.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)) b (cos.f64 a)))
#s(approx (* (cos b) (cos 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) #s(literal 1 binary64))
#s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (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 #s(literal -1/6 binary64) (sin.f64 a))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) (sin.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) (sin.f64 a))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (tan b)) (*.f64 b r))
#s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (tan b) b)
#s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 a))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.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)) b (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 b (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) b (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (neg.f64 b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))
#s(approx (neg (+ a b)) (-.f64 (neg.f64 b) a))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 a))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (fma.f64 (-.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)) b (cos.f64 a)))
#s(approx (pow b 3) (pow.f64 b #s(literal 3 binary64)))
#s(approx (+ (* b b) (- (* a a) (* b a))) (fma.f64 (neg.f64 a) b (*.f64 a a)))
#s(approx (+ (* b b) (- (* a a) (* b a))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
#s(approx (- (* a a) (* b a)) (fma.f64 (neg.f64 a) b (*.f64 a a)))
#s(approx (sin b) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (tan b) (tan.f64 b))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) b))
#s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 b b)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (neg.f64 a) b)) b))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (neg.f64 a) b))) b))
#s(approx (+ (pow b 3) (pow a 3)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 a b))) (*.f64 b b)))
#s(approx (- (* a a) (* b a)) (*.f64 (-.f64 (/.f64 (*.f64 a a) b) a) b))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 (-.f64 a (neg.f64 b))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (neg (+ a b)) (*.f64 (neg.f64 b) (+.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))))))
#s(approx (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a))))) (cos.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b) (*.f64 #s(literal 1 binary64) a)) b)) #s(literal 1 binary64))))
#s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) a) b)) (*.f64 #s(literal 0 binary64) (*.f64 a a))) b) a)) b)) #s(literal 1 binary64))))
#s(approx (+ (pow b 3) (pow a 3)) (*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 a) b) #s(literal 3 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 a a) b) a)) b) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (- (* a a) (* b a)) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 a a) b) a))))

eval118.0ms (2.3%)

Memory
-20.4MiB live, 113.1MiB allocated; 18ms collecting garbage
Compiler

Compiled 12 493 to 1 894 computations (84.8% saved)

prune44.0ms (0.8%)

Memory
7.5MiB live, 111.1MiB allocated; 11ms collecting garbage
Pruning

41 alts after pruning (38 fresh and 3 done)

PrunedKeptTotal
New41029439
Fresh4913
Picked235
Done101
Total41741458
Accuracy
99.8%
Counts
458 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
36.4%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
75.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶60.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
55.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
38.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
22.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
37.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶38.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
16.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
16.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
21.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* b b) (- (* a a) (* b a))) (fma.f64 (neg.f64 a) b (*.f64 a a))))))
21.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a))) (*.f64 a a))))))
34.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (+.f64 a b)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
33.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
30.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
58.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) b)))
✓53.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
33.8%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
49.3%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
▶49.7%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
49.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
76.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.9%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
34.1%
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
49.6%
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
57.1%
#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))))
29.5%
#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)))))))
29.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
29.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
✓59.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
32.8%
#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))))
32.9%
#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))))
▶33.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
32.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
32.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
Compiler

Compiled 1 953 to 1 302 computations (33.3% saved)

series42.0ms (0.8%)

Memory
8.2MiB live, 98.7MiB allocated; 10ms collecting garbage
Counts
32 → 183
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
(*.f64 r #s(approx (tan b) b))
#s(approx (tan b) b)
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (sin b) b))
#s(approx (sin b) b)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
(sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))
#s(literal 1/2 binary64)
(PI.f64)
(neg.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
Outputs
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* -1 a)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (+ (* 1/2 (PI)) (neg b)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* 1/2 (PI)) (neg b)) #s(hole binary64 (+ (* -1 b) (* 1/2 (PI)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* -1 b)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (+ (* 1/2 (PI)) (neg b)) #s(hole binary64 (* -1 b)))
#s(approx (+ (* 1/2 (PI)) (neg b)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (+ (* 1/2 (PI)) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))))
Calls

9 calls:

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

rewrite226.0ms (4.4%)

Memory
9.2MiB live, 250.4MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07735226
08104571
145514526
084964345
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
215 → 377
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
(*.f64 r #s(approx (tan b) b))
#s(approx (tan b) b)
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (sin b) b))
#s(approx (sin b) b)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
(sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))
#s(literal 1/2 binary64)
(PI.f64)
(neg.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* -1 a)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (+ (* 1/2 (PI)) (neg b)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* 1/2 (PI)) (neg b)) #s(hole binary64 (+ (* -1 b) (* 1/2 (PI)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* -1 b)))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (+ (* 1/2 (PI)) (neg b)) #s(hole binary64 (* -1 b)))
#s(approx (+ (* 1/2 (PI)) (neg b)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (+ (* 1/2 (PI)) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1 binary64) b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(fma.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (neg.f64 (-.f64 a (neg.f64 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))))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))))
(-.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 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (-.f64 a (neg.f64 b)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(pow.f64 (cos.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64)))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(exp.f64 (*.f64 (log.f64 (cos.f64 b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(pow.f64 (cos.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
a
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (PI.f64)) a)) (cos.f64 (+.f64 (+.f64 b (PI.f64)) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (fma.f64 #s(literal -1 binary64) b a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 a (+.f64 b (PI.f64)))) (cos.f64 (+.f64 a (+.f64 b (PI.f64))))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal -1 binary64))
(neg.f64 (sin.f64 b))
(fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (PI.f64)))
(sin.f64 (neg.f64 b))
(-.f64 (*.f64 (cos.f64 b) #s(literal 0 binary64)) (*.f64 (sin.f64 b) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (PI.f64))) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(pow.f64 (sin.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64)))
(sin.f64 a)
(exp.f64 (*.f64 (log.f64 (sin.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 #s(approx (tan b) b) r))
(*.f64 #s(approx (tan b) b) r)
(*.f64 r #s(approx (tan b) b))
#s(approx (tan b) b)
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 #s(approx (sin b) b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) b) r)
(*.f64 r #s(approx (sin b) b))
#s(approx (sin b) b)
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1 binary64) b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
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(fma.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (neg.f64 (-.f64 a (neg.f64 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))))
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (-.f64 a (neg.f64 b)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
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(+.f64 a b)
(+.f64 b a)
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(sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))
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(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))
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(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)
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(fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b))
(fma.f64 b #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (neg.f64 b) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 b))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
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(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
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(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
(*.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))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
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#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
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#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
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#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
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#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))
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#s(approx (sin a) a)
#s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
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#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.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)) a (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b))) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (*.f64 (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))))) a (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal -1/2 binary64))) a (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.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)) a (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal -1/2 binary64) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) (sin.f64 b) (*.f64 #s(literal -1/6 binary64) (sin.f64 b))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) (sin.f64 b) (*.f64 #s(literal 1/120 binary64) (sin.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) (sin.f64 b))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 b a)) a))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) (neg.f64 a))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 b a)) a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (cos b) #s(literal 1 binary64))
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) (sin.f64 a) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/120 binary64)) (sin.f64 a) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/5040 binary64)) (sin.f64 a) (*.f64 #s(literal -1/120 binary64) (sin.f64 a))) (*.f64 b b) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (neg (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (tan b)) (*.f64 b r))
#s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (tan b) b)
#s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.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)) b (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 b (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) b (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))
#s(approx (+ (* 1/2 (PI)) (neg b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* 1/2 (PI)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.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)) b (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal -1/2 binary64) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (sin.f64 a))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) (sin.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) (sin.f64 a))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (sin b) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (tan b) (tan.f64 b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) b))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) (neg.f64 b))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) b))
#s(approx (+ (* 1/2 (PI)) (neg b)) (neg.f64 b))
#s(approx (+ (* 1/2 (PI)) (neg b)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (- (+ (* 1/2 (PI)) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (* 1/2 (PI)) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) #s(literal 1 binary64))))

eval100.0ms (1.9%)

Memory
21.9MiB live, 65.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 10 406 to 1 536 computations (85.2% saved)

prune94.0ms (1.8%)

Memory
-9.3MiB live, 133.6MiB allocated; 29ms collecting garbage
Pruning

57 alts after pruning (51 fresh and 6 done)

PrunedKeptTotal
New38024404
Fresh62733
Picked235
Done033
Total38857445
Accuracy
99.9%
Counts
445 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
75.9%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
36.4%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
75.7%
(/.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))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a))))
▶99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
77.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
60.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
37.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
38.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
59.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
✓60.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
55.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
37.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) #s(approx (cos b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
38.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
▶22.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
37.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
17.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 #s(approx (+ (* 1/2 (PI)) (neg b)) (neg.f64 b)) a))))
16.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
16.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
21.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* b b) (- (* a a) (* b a))) (fma.f64 (neg.f64 a) b (*.f64 a a))))))
21.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a))) (*.f64 a a))))))
34.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (+.f64 a b)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
33.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
30.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
58.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) b)))
✓53.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
49.3%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
36.7%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
▶38.4%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
33.2%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
49.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
60.2%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
38.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))))
76.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.9%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
49.7%
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
34.1%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
49.6%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
▶57.1%
#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))))
29.5%
#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)))))))
29.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
29.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
✓59.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
32.8%
#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))))
32.9%
#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))))
✓33.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
32.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
▶32.9%
#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 2 480 to 1 760 computations (29% saved)

series90.0ms (1.7%)

Memory
-3.2MiB live, 230.4MiB allocated; 33ms collecting garbage
Counts
51 → 260
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 a))
(neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
#s(literal -1 binary64)
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r)
#s(literal 1/3 binary64)
(*.f64 (*.f64 b b) r)
(*.f64 b b)
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (sin b) b))
#s(approx (sin b) b)
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
(*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 a 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))))
(fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 r (tan.f64 b)))
(*.f64 r (*.f64 (tan.f64 b) (tan.f64 b)))
(*.f64 (tan.f64 b) (tan.f64 b))
(tan.f64 b)
(*.f64 r (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 b #s(literal 3 binary64))
(fma.f64 (-.f64 a b) a (*.f64 b b))
(-.f64 a b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
Outputs
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* r (+ 1 (* 1/3 (pow b 2))))))
#s(approx (* (* b b) r) #s(hole binary64 (* (pow b 2) r)))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* r (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (* r (* (tan b) (tan b))) #s(hole binary64 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ (/ (pow a 3) (+ (* a (- a b)) (pow b 2))) (/ (pow b 3) (+ (* a (- a b)) (pow b 2)))))))))
#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 (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (sin b) (cos b))) (* -1 (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (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 b) 1) b) #s(hole binary64 b))
#s(approx (* (+ (/ a b) 1) b) #s(hole binary64 (+ a b)))
#s(approx (+ (/ a b) 1) #s(hole binary64 1))
#s(approx (+ (/ a b) 1) #s(hole binary64 (+ 1 (/ a b))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan 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 (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 b)))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (- (* -1 a) b)))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 b))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (+ a b)))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (pow b 3)))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (+ (pow a 3) (pow b 3))))
#s(approx (pow a 3) #s(hole binary64 (pow a 3)))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (+ (* -1 (* a b)) (pow b 2))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (+ (* a (+ a (* -1 b))) (pow b 2))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (+ (/ a b) 1) b) #s(hole binary64 a))
#s(approx (* (+ (/ a b) 1) b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (/ a b) 1) #s(hole binary64 (/ a b)))
#s(approx (+ (/ a b) 1) #s(hole binary64 (* a (+ (/ 1 a) (/ 1 b)))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* a (+ (/ (* r (sin b)) (* a (cos b))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ (/ (pow a 3) (- (+ (pow a 2) (pow b 2)) (* a b))) (/ (pow b 3) (- (+ (pow a 2) (pow b 2)) (* a b)))))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ (/ (pow a 3) (- (+ (pow a 2) (pow b 2)) (* a b))) (/ (pow b 3) (- (+ (pow a 2) (pow b 2)) (* a b))))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* a (- (+ (* -1 (/ b a)) (* 1/2 (/ (PI) a))) 1))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 1/2 (/ (PI) a)) (/ (pow b 2) (pow a 2))))) 1))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 1/2 (/ (PI) a)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2)))))) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 a)))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 a))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))))))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (pow a 3)))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ b a))))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -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 (* (+ (/ a b) 1) b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (* r (sin b)) (* a (cos b)))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))) (* 1/2 (PI))) (/ (pow b 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))) (* 1/2 (PI))) (/ (pow b 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (+ (* 1/2 (PI)) (/ (pow b 2) a))) b) a)))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (+ (* -1 (/ (pow b 3) a)) (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) (* 1/2 (PI))) b) a)))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a)))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (+ (* -1 (/ (pow b 3) a)) (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a)))))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -1 b)) a)) 1)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 b)) a)) 1)))))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (/ 1 (pow (sin b) -1))) #s(hole binary64 (* -1 b)))
#s(approx (neg (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 b))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 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 (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 (+ (/ a b) 1) #s(hole binary64 (/ (+ a b) b)))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* b r)))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* b (+ r (* a (* b r))))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* 1/3 (* b r)) (* a r)))))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* a r) (* b (+ (* 1/3 r) (* 2/3 (* a (* b r)))))))))))
#s(approx (* r (* (tan b) (tan b))) #s(hole binary64 (* (pow b 2) r)))
#s(approx (* r (* (tan b) (tan b))) #s(hole binary64 (* (pow b 2) (+ r (* 2/3 (* (pow b 2) r))))))
#s(approx (* r (* (tan b) (tan b))) #s(hole binary64 (* (pow b 2) (+ r (* (pow b 2) (+ (* 17/45 (* (pow b 2) r)) (* 2/3 r)))))))
#s(approx (* r (* (tan b) (tan b))) #s(hole binary64 (* (pow b 2) (+ r (* (pow b 2) (+ (* 2/3 r) (* (pow b 2) (+ (* 62/315 (* (pow b 2) r)) (* 17/45 r)))))))))
#s(approx (* (tan b) (tan b)) #s(hole binary64 (pow b 2)))
#s(approx (* (tan b) (tan b)) #s(hole binary64 (* (pow b 2) (+ 1 (* 2/3 (pow b 2))))))
#s(approx (* (tan b) (tan b)) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (+ 2/3 (* 17/45 (pow b 2))))))))
#s(approx (* (tan b) (tan b)) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (+ 2/3 (* (pow b 2) (+ 17/45 (* 62/315 (pow b 2))))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (- (* -1 b) a)))
#s(approx (pow b 3) #s(hole binary64 (pow b 3)))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (+ (* -1 (* a b)) (pow a 2))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (+ (* b (+ b (* -1 a))) (pow a 2))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (neg (/ 1 (pow (sin b) -1))) #s(hole binary64 (* -1 (sin b))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (sin b)))
#s(approx (pow (sin b) -1) #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 (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (+ (/ a b) 1) b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (tan b) (tan b)) #s(hole binary64 (/ (pow (sin b) 2) (pow (cos b) 2))))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ (/ (pow a 3) (+ (* a (- a b)) (pow b 2))) (/ (pow b 3) (+ (* a (- a b)) (pow b 2))))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* b (- (+ (* -1 (/ a b)) (* 1/2 (/ (PI) b))) 1))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* 1/2 (/ (PI) b)) (/ (pow a 2) (pow b 2))))) 1))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* 1/2 (/ (PI) b)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)) (/ (pow a 2) (pow b 2)))))) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)) (/ (pow a 2) (pow b 2))))) 1))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (* -1 (/ a b))))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2))))))))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ a b))))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ (pow a 2) (pow b 2)))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* (+ (/ a b) 1) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 (/ (pow b 3) (+ (* a (+ a (* -1 b))) (pow b 2)))) (* 1/2 (PI))) (/ (pow a 3) (+ (* a (+ a (* -1 b))) (pow b 2))))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 (/ (pow b 3) (+ (* a (+ a (* -1 b))) (pow b 2)))) (* 1/2 (PI))) (/ (pow a 3) (+ (* a (+ a (* -1 b))) (pow b 2)))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (+ (* 1/2 (PI)) (/ (pow a 2) b))) a) b)))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (/ (pow a 3) b)) (/ (pow a 3) b))) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* 1/2 (PI))) a) b)))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) a) b)))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (/ (pow a 3) b)) (/ (pow a 3) b))) (+ (* -1 (pow a 2)) (pow a 2))) b)) a) b)))))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1)))))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
r
@0
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (cos b) (cos a) a (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (neg (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (+ a b) (* (+ (/ a b) 1) b) (+ (/ a b) 1) (/ a b) (/ (* r (sin b)) (cos (+ a b))) (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (* r (* (tan b) (tan b))) (* (tan b) (tan b)) (tan b) (* r (tan b)) (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (+ (pow a 3) (pow b 3)) (pow a 3) 3 (pow b 3) (+ (* (- a b) a) (* b b)) (- a b) (/ (PI) 2) (PI) 2)
12.0ms
b
@0
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (cos b) (cos a) a (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (neg (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (+ a b) (* (+ (/ a b) 1) b) (+ (/ a b) 1) (/ a b) (/ (* r (sin b)) (cos (+ a b))) (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (* r (* (tan b) (tan b))) (* (tan b) (tan b)) (tan b) (* r (tan b)) (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (+ (pow a 3) (pow b 3)) (pow a 3) 3 (pow b 3) (+ (* (- a b) a) (* b b)) (- a b) (/ (PI) 2) (PI) 2)
11.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (cos b) (cos a) a (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (neg (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (+ a b) (* (+ (/ a b) 1) b) (+ (/ a b) 1) (/ a b) (/ (* r (sin b)) (cos (+ a b))) (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (* r (* (tan b) (tan b))) (* (tan b) (tan b)) (tan b) (* r (tan b)) (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (+ (pow a 3) (pow b 3)) (pow a 3) 3 (pow b 3) (+ (* (- a b) a) (* b b)) (- a b) (/ (PI) 2) (PI) 2)
11.0ms
r
@inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (cos b) (cos a) a (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (neg (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (+ a b) (* (+ (/ a b) 1) b) (+ (/ a b) 1) (/ a b) (/ (* r (sin b)) (cos (+ a b))) (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (* r (* (tan b) (tan b))) (* (tan b) (tan b)) (tan b) (* r (tan b)) (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (+ (pow a 3) (pow b 3)) (pow a 3) 3 (pow b 3) (+ (* (- a b) a) (* b b)) (- a b) (/ (PI) 2) (PI) 2)
9.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (cos b) (cos a) a (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (neg (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (+ a b) (* (+ (/ a b) 1) b) (+ (/ a b) 1) (/ a b) (/ (* r (sin b)) (cos (+ a b))) (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (* r (* (tan b) (tan b))) (* (tan b) (tan b)) (tan b) (* r (tan b)) (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (+ (pow a 3) (pow b 3)) (pow a 3) 3 (pow b 3) (+ (* (- a b) a) (* b b)) (- a b) (/ (PI) 2) (PI) 2)

rewrite222.0ms (4.3%)

Memory
-0.0MiB live, 287.7MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011788218
012437430
171787404
080397198
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
311 → 469
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 a))
(neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
#s(literal -1 binary64)
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r)
#s(literal 1/3 binary64)
(*.f64 (*.f64 b b) r)
(*.f64 b b)
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (sin b) b))
#s(approx (sin b) b)
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
(*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 a 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))))
(fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 r (tan.f64 b)))
(*.f64 r (*.f64 (tan.f64 b) (tan.f64 b)))
(*.f64 (tan.f64 b) (tan.f64 b))
(tan.f64 b)
(*.f64 r (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 b #s(literal 3 binary64))
(fma.f64 (-.f64 a b) a (*.f64 b b))
(-.f64 a b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* r (+ 1 (* 1/3 (pow b 2))))))
#s(approx (* (* b b) r) #s(hole binary64 (* (pow b 2) r)))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* r (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (* r (* (tan b) (tan b))) #s(hole binary64 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ (/ (pow a 3) (+ (* a (- a b)) (pow b 2))) (/ (pow b 3) (+ (* a (- a b)) (pow b 2)))))))))
#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 (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (sin b) (cos b))) (* -1 (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (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 b) 1) b) #s(hole binary64 b))
#s(approx (* (+ (/ a b) 1) b) #s(hole binary64 (+ a b)))
#s(approx (+ (/ a b) 1) #s(hole binary64 1))
#s(approx (+ (/ a b) 1) #s(hole binary64 (+ 1 (/ a b))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan 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 (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 b)))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (- (* -1 a) b)))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 b))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (+ a b)))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (pow b 3)))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (+ (pow a 3) (pow b 3))))
#s(approx (pow a 3) #s(hole binary64 (pow a 3)))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (+ (* -1 (* a b)) (pow b 2))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (+ (* a (+ a (* -1 b))) (pow b 2))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (+ (/ a b) 1) b) #s(hole binary64 a))
#s(approx (* (+ (/ a b) 1) b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (/ a b) 1) #s(hole binary64 (/ a b)))
#s(approx (+ (/ a b) 1) #s(hole binary64 (* a (+ (/ 1 a) (/ 1 b)))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* a (+ (/ (* r (sin b)) (* a (cos b))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ (/ (pow a 3) (- (+ (pow a 2) (pow b 2)) (* a b))) (/ (pow b 3) (- (+ (pow a 2) (pow b 2)) (* a b)))))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ (/ (pow a 3) (- (+ (pow a 2) (pow b 2)) (* a b))) (/ (pow b 3) (- (+ (pow a 2) (pow b 2)) (* a b))))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* a (- (+ (* -1 (/ b a)) (* 1/2 (/ (PI) a))) 1))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 1/2 (/ (PI) a)) (/ (pow b 2) (pow a 2))))) 1))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 1/2 (/ (PI) a)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2)))))) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 a)))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 a))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))))))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (pow a 3)))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ b a))))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -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 (* (+ (/ a b) 1) b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (* r (sin b)) (* a (cos b)))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))) (* 1/2 (PI))) (/ (pow b 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))) (* 1/2 (PI))) (/ (pow b 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (+ (* 1/2 (PI)) (/ (pow b 2) a))) b) a)))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (+ (* -1 (/ (pow b 3) a)) (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) (* 1/2 (PI))) b) a)))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a)))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (+ (* -1 (/ (pow b 3) a)) (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a)))))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -1 b)) a)) 1)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 b)) a)) 1)))))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (/ 1 (pow (sin b) -1))) #s(hole binary64 (* -1 b)))
#s(approx (neg (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 b))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 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 (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 (+ (/ a b) 1) #s(hole binary64 (/ (+ a b) b)))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* b r)))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* b (+ r (* a (* b r))))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* 1/3 (* b r)) (* a r)))))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* a r) (* b (+ (* 1/3 r) (* 2/3 (* a (* b r)))))))))))
#s(approx (* r (* (tan b) (tan b))) #s(hole binary64 (* (pow b 2) r)))
#s(approx (* r (* (tan b) (tan b))) #s(hole binary64 (* (pow b 2) (+ r (* 2/3 (* (pow b 2) r))))))
#s(approx (* r (* (tan b) (tan b))) #s(hole binary64 (* (pow b 2) (+ r (* (pow b 2) (+ (* 17/45 (* (pow b 2) r)) (* 2/3 r)))))))
#s(approx (* r (* (tan b) (tan b))) #s(hole binary64 (* (pow b 2) (+ r (* (pow b 2) (+ (* 2/3 r) (* (pow b 2) (+ (* 62/315 (* (pow b 2) r)) (* 17/45 r)))))))))
#s(approx (* (tan b) (tan b)) #s(hole binary64 (pow b 2)))
#s(approx (* (tan b) (tan b)) #s(hole binary64 (* (pow b 2) (+ 1 (* 2/3 (pow b 2))))))
#s(approx (* (tan b) (tan b)) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (+ 2/3 (* 17/45 (pow b 2))))))))
#s(approx (* (tan b) (tan b)) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (+ 2/3 (* (pow b 2) (+ 17/45 (* 62/315 (pow b 2))))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (- (* -1 b) a)))
#s(approx (pow b 3) #s(hole binary64 (pow b 3)))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (+ (* -1 (* a b)) (pow a 2))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (+ (* b (+ b (* -1 a))) (pow a 2))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (neg (/ 1 (pow (sin b) -1))) #s(hole binary64 (* -1 (sin b))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (sin b)))
#s(approx (pow (sin b) -1) #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 (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (+ (/ a b) 1) b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (tan b) (tan b)) #s(hole binary64 (/ (pow (sin b) 2) (pow (cos b) 2))))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ (/ (pow a 3) (+ (* a (- a b)) (pow b 2))) (/ (pow b 3) (+ (* a (- a b)) (pow b 2))))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* b (- (+ (* -1 (/ a b)) (* 1/2 (/ (PI) b))) 1))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* 1/2 (/ (PI) b)) (/ (pow a 2) (pow b 2))))) 1))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* 1/2 (/ (PI) b)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)) (/ (pow a 2) (pow b 2)))))) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)) (/ (pow a 2) (pow b 2))))) 1))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (* -1 (/ a b))))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2))))))))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ a b))))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ (pow a 2) (pow b 2)))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* (+ (/ a b) 1) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 (/ (pow b 3) (+ (* a (+ a (* -1 b))) (pow b 2)))) (* 1/2 (PI))) (/ (pow a 3) (+ (* a (+ a (* -1 b))) (pow b 2))))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 (/ (pow b 3) (+ (* a (+ a (* -1 b))) (pow b 2)))) (* 1/2 (PI))) (/ (pow a 3) (+ (* a (+ a (* -1 b))) (pow b 2)))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (+ (* 1/2 (PI)) (/ (pow a 2) b))) a) b)))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (/ (pow a 3) b)) (/ (pow a 3) b))) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* 1/2 (PI))) a) b)))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) a) b)))))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (/ (pow a 3) b)) (/ (pow a 3) b))) (+ (* -1 (pow a 2)) (pow a 2))) b)) a) b)))))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1)))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1)))))
#s(approx (+ (pow a 3) (pow b 3)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))))
#s(approx (+ (* (- a b) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (fma.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)))) #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 (pow.f64 (sin.f64 b) #s(literal 1 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))))))))
(fma.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)))) (sin.f64 a)))
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)))))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
a
(*.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))) (sin.f64 a))
(neg.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)) (sin.f64 a)))
(/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
#s(literal -1 binary64)
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)
(*.f64 b (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r))
(fma.f64 b r (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))
(fma.f64 b r (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))
(fma.f64 r b (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))
(+.f64 (*.f64 b r) (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r))
(/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) (-.f64 r (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r))))
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))))
(fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)
(fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r)
(-.f64 r (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) r)))
(+.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)
(+.f64 r (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
(*.f64 (*.f64 b b) r)
(*.f64 b (*.f64 b r))
(*.f64 r (*.f64 b b))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
(/.f64 (neg.f64 (*.f64 #s(approx (sin b) b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(*.f64 #s(approx (sin b) b) r)
(*.f64 r #s(approx (sin b) b))
#s(approx (sin b) b)
(fma.f64 (sin.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
(cos.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))) #s(literal 1 binary64)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
(*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)
(*.f64 b (+.f64 (/.f64 a b) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 a b) b))
(fma.f64 b #s(literal 1 binary64) (*.f64 b (/.f64 a b)))
(+.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (/.f64 a b)))
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 a b) b))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) (/.f64 a b))) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (-.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1 binary64)) (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (*.f64 #s(literal 1 binary64) (/.f64 a b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1 binary64)))))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (neg.f64 a) (neg.f64 b))
(/.f64 a b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a (*.f64 (tan.f64 b) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a)) (*.f64 (*.f64 (tan.f64 b) r) (*.f64 (tan.f64 b) r))) (-.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) (*.f64 (tan.f64 b) r)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (tan.f64 b) r) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) (-.f64 (*.f64 (*.f64 (tan.f64 b) r) (*.f64 (tan.f64 b) r)) (*.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) (*.f64 (tan.f64 b) r)))))
(fma.f64 (*.f64 a r) (pow.f64 (tan.f64 b) #s(literal 2 binary64)) (*.f64 (tan.f64 b) r))
(fma.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a (*.f64 (tan.f64 b) r))
(fma.f64 (tan.f64 b) r (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a))
(fma.f64 a (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) (*.f64 (tan.f64 b) r))
(fma.f64 r (tan.f64 b) (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a))
(-.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) (*.f64 (neg.f64 r) (tan.f64 b)))
(+.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) (*.f64 (tan.f64 b) r))
(+.f64 (*.f64 (tan.f64 b) r) (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a))
(*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r)
(*.f64 (*.f64 (tan.f64 b) r) (tan.f64 b))
(*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (tan.f64 b)) (fabs.f64 (tan.f64 b)))
(*.f64 (neg.f64 (tan.f64 b)) (neg.f64 (tan.f64 b)))
(*.f64 (tan.f64 b) (tan.f64 b))
(pow.f64 (tan.f64 b) #s(literal 2 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 (sin.f64 b) (cos.f64 b))
(tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 b (PI.f64)))
(tan.f64 b)
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(fma.f64 (sin.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))))))
(sin.f64 (+.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))))
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))))
(cos.f64 (neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(cos.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))))))
(+.f64 (*.f64 (sin.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))))
(neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))) (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)) (*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(*.f64 (fma.f64 (neg.f64 a) b (fma.f64 a a (*.f64 b b))) (+.f64 a b))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (*.f64 a a) a (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (*.f64 b b) b (pow.f64 a #s(literal 3 binary64)))
(fma.f64 a (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 b (*.f64 b b) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(*.f64 (*.f64 a a) a)
(*.f64 a (*.f64 a a))
(pow.f64 a #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 3 binary64))))
#s(literal 3 binary64)
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (*.f64 b b) b)
(*.f64 b (*.f64 b b))
(pow.f64 b #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) a)) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (-.f64 a b) a) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) a) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (-.f64 a b) a) (*.f64 b b)))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (-.f64 a b) a))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (-.f64 a b) a))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (-.f64 a b) a))
(fma.f64 (-.f64 a b) a (*.f64 b b))
(fma.f64 a (-.f64 a b) (*.f64 b b))
(fma.f64 b b (*.f64 (-.f64 a b) a))
(-.f64 (*.f64 (-.f64 a b) a) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 (-.f64 a b) a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (-.f64 a b) a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a b))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (fma.f64 b b (*.f64 a b))))
(-.f64 a b)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r) b))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r))
#s(approx (* (* b b) r) (*.f64 (*.f64 b b) r))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b)) r))
#s(approx (* r (* (tan b) (tan b))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (neg.f64 b) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b))) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (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 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (sin.f64 b) (neg.f64 (sin.f64 b))) a))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 a a)) (sin.f64 b) (*.f64 #s(literal 1/6 binary64) (sin.f64 b))) (*.f64 a a) (neg.f64 (sin.f64 b))) a))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 a a)) (sin.f64 b) (*.f64 #s(literal -1/120 binary64) (sin.f64 b))) (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (sin.f64 b))) (*.f64 a a) (neg.f64 (sin.f64 b))) a))
#s(approx (sin a) a)
#s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (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 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (cos (+ a b)) (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 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (cos (+ a b)) (fma.f64 (-.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)) a (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (* (+ (/ a b) 1) b) b)
#s(approx (* (+ (/ a b) 1) b) (+.f64 a b))
#s(approx (+ (/ a b) 1) #s(literal 1 binary64))
#s(approx (+ (/ a b) 1) (+.f64 (/.f64 a b) #s(literal 1 binary64)))
#s(approx (/ a b) (/.f64 a b))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (tan.f64 b) r))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b))) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (*.f64 (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))))) a (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (fma.f64 (neg.f64 a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal -1/2 binary64))) a (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (neg.f64 b))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (-.f64 (neg.f64 a) b))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) b)
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (+.f64 a b))
#s(approx (+ (pow a 3) (pow b 3)) (pow.f64 b #s(literal 3 binary64)))
#s(approx (+ (pow a 3) (pow b 3)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (pow a 3) (pow.f64 a #s(literal 3 binary64)))
#s(approx (+ (* (- a b) a) (* b b)) (*.f64 b b))
#s(approx (+ (* (- a b) a) (* b b)) (*.f64 (fma.f64 #s(literal -1 binary64) a b) b))
#s(approx (+ (* (- a b) a) (* b b)) (fma.f64 (fma.f64 #s(literal -1 binary64) b a) a (*.f64 b b)))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (* (+ (/ a b) 1) b) a)
#s(approx (* (+ (/ a b) 1) b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (/ a b) 1) (/.f64 a b))
#s(approx (+ (/ a b) 1) (*.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) a))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (/.f64 r a) (tan.f64 b) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 a))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 b) a)) #s(literal 1 binary64)) a))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (neg.f64 b) a)) #s(literal 1 binary64)) a))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (fma.f64 b (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 b b) (*.f64 a a)))))) #s(literal 1 binary64)) a))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (neg.f64 a))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) #s(literal 1 binary64)) a))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) (fma.f64 b (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (neg.f64 b) a)) #s(literal 1 binary64)) a))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) a)
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (neg.f64 b) a)) a))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) a))
#s(approx (+ (pow a 3) (pow b 3)) (pow.f64 a #s(literal 3 binary64)))
#s(approx (+ (pow a 3) (pow b 3)) (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (- a b) a) (* b b)) (*.f64 a a))
#s(approx (+ (* (- a b) a) (* b b)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (+ (* (- a b) a) (* b b)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a))) (*.f64 a a)))
#s(approx (- a b) a)
#s(approx (- a b) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (* (+ (/ a b) 1) b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 r a) (tan.f64 b) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (neg.f64 a) b (fma.f64 a a (*.f64 b b)))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (neg.f64 a) b (fma.f64 a a (*.f64 b b))))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (neg.f64 a) b (fma.f64 a a (*.f64 b b)))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (neg.f64 a) b (fma.f64 a a (*.f64 b b)))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 b b) a))) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) a))) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (neg.f64 a) (+.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) a)) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a) (*.f64 #s(literal 1 binary64) b)) a)) #s(literal 1 binary64))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) a)) (*.f64 #s(literal 0 binary64) (*.f64 b b))) a) b)) a)) #s(literal 1 binary64))))
#s(approx (+ (pow a 3) (pow b 3)) (neg.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (* (- a b) a) (* b b)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) b) a) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (- a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (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 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (cos b) #s(literal 1 binary64))
#s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (sin.f64 a) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 b b)) (sin.f64 a) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (/ 1 (pow (sin b) -1))) (sin a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) (sin.f64 a) (*.f64 #s(literal -1/120 binary64) (sin.f64 a))) (*.f64 b b) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (neg (/ 1 (pow (sin b) -1))) (neg.f64 b))
#s(approx (neg (/ 1 (pow (sin b) -1))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (/ 1 (pow (sin b) -1))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (/ 1 (pow (sin b) -1))) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (sin b) -1)) b)
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (pow.f64 b #s(literal -1 binary64)))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ (* 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) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.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 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (tan b)) (*.f64 b r))
#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 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 b r))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b))
#s(approx (+ (* 1/3 (* (* b b) r)) r) r)
#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 (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 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 (-.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)) b (cos.f64 a)))
#s(approx (+ (/ a b) 1) (/.f64 (+.f64 a b) b))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 b r))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b))
#s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 b r) a) (*.f64 #s(literal 1/3 binary64) r)) b (*.f64 a r)) b r) b))
#s(approx (* r (* (tan b) (tan b))) (*.f64 (*.f64 b b) r))
#s(approx (* r (* (tan b) (tan b))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 b b) r) r) (*.f64 b b)))
#s(approx (* r (* (tan b) (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/3 binary64) r)) (*.f64 b b) r) (*.f64 b b)))
#s(approx (* r (* (tan b) (tan b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 17/45 binary64) r)) (*.f64 b b) (*.f64 #s(literal 2/3 binary64) r)) (*.f64 b b) r) (*.f64 b b)))
#s(approx (* (tan b) (tan b)) (*.f64 b b))
#s(approx (* (tan b) (tan b)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (tan b) (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (tan b) (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 b b) #s(literal 17/45 binary64)) (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (tan b) b)
#s(approx (tan b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (*.f64 (fma.f64 b (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) b (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (fma.f64 (neg.f64 b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (-.f64 (neg.f64 b) a))
#s(approx (pow b 3) (pow.f64 b #s(literal 3 binary64)))
#s(approx (+ (* (- a b) a) (* b b)) (fma.f64 (neg.f64 a) b (*.f64 a a)))
#s(approx (+ (* (- a b) a) (* b b)) (fma.f64 (fma.f64 #s(literal -1 binary64) a b) b (*.f64 a a)))
#s(approx (- a b) (fma.f64 #s(literal -1 binary64) b a))
#s(approx (sin b) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (neg (/ 1 (pow (sin b) -1))) (neg.f64 (sin.f64 b)))
#s(approx (/ 1 (pow (sin b) -1)) (sin.f64 b))
#s(approx (pow (sin b) -1) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
#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 (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))))
#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 (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* (+ (/ a b) 1) b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* (tan b) (tan b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
#s(approx (tan b) (tan.f64 b))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 b))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (neg.f64 a) b)) #s(literal 1 binary64)) b))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)))) (/.f64 (neg.f64 a) b)) #s(literal 1 binary64)) b))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (-.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (fma.f64 a (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 a a) (*.f64 b b)))))) #s(literal 1 binary64)) b))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (neg.f64 a) b)) #s(literal 1 binary64)) b))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64) (fma.f64 a (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 a a) (*.f64 b b)))) (/.f64 (neg.f64 a) b)) #s(literal 1 binary64)) b))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 b b)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (neg.f64 a) b)) b))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (neg.f64 a) b))) b))
#s(approx (+ (pow a 3) (pow b 3)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (- a b) a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (+ (* (- a b) a) (* b b)) (*.f64 (+.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b)))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 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)))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 a (neg.f64 b))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (* (+ (/ a b) 1) b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) b a) a (*.f64 b b))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) b a) a (*.f64 b b)))))))
#s(approx (sin (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) b a) a (*.f64 b b))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) b a) a (*.f64 b b))))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 a a) b))) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) a) b))) (*.f64 #s(literal 0 binary64) (*.f64 a a))) b))) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (neg.f64 b) (+.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) a) b))) (*.f64 #s(literal 0 binary64) (*.f64 a a))) b)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b) (*.f64 #s(literal 1 binary64) a)) b)) #s(literal 1 binary64))))
#s(approx (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b))) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) a) b)) (*.f64 #s(literal 0 binary64) (*.f64 a a))) b) a)) b)) #s(literal 1 binary64))))
#s(approx (+ (pow a 3) (pow b 3)) (neg.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- a b) a) (* b b)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1 binary64) a) b) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (- a b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64))))

eval111.0ms (2.1%)

Memory
-25.3MiB live, 118.6MiB allocated; 21ms collecting garbage
Compiler

Compiled 18 887 to 2 702 computations (85.7% saved)

prune68.0ms (1.3%)

Memory
24.4MiB live, 169.7MiB allocated; 14ms collecting garbage
Pruning

65 alts after pruning (58 fresh and 7 done)

PrunedKeptTotal
New55120571
Fresh83846
Picked415
Done066
Total56365628
Accuracy
99.9%
Counts
628 → 65
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
75.9%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
36.4%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
75.7%
(/.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))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (sin.f64 a))))
50.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)))))) (sin.f64 a))))
77.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))) (sin.f64 a))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
77.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
60.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
37.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
38.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
59.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
✓60.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
55.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
37.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) #s(approx (cos b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
38.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
14.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(approx (+ (* (- a b) a) (* b b)) (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
25.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (pow a 3) (pow b 3)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
37.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
16.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 b))))
16.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 a))))
17.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 #s(approx (+ (* 1/2 (PI)) (neg b)) (neg.f64 b)) a))))
21.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* b b) (- (* a a) (* b a))) (fma.f64 (neg.f64 a) b (*.f64 a a))))))
21.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a))) (*.f64 a a))))))
33.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
30.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
58.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) b)))
✓53.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
49.3%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
29.0%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
36.7%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
38.4%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ a b) 1) (/.f64 a b)) b))))
33.2%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) b))))
49.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) a))))
52.3%
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (cos.f64 a) (cos.f64 b)))))
60.2%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
38.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))))
76.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.9%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
49.7%
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
49.6%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
34.1%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
57.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a (*.f64 (tan.f64 b) r)))
29.5%
#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)))))))
29.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
29.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
✓59.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
32.8%
#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))))
32.9%
#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))))
✓33.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
31.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
32.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
32.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)))
✓32.9%
#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)))
24.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
13.6%
#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)))
13.6%
#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)))))
Compiler

Compiled 3 760 to 1 603 computations (57.4% saved)

regimes103.0ms (2%)

Memory
4.7MiB live, 194.0MiB allocated; 19ms collecting garbage
Counts
92 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.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)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#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 (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) b))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ a b) 1) (/.f64 a b)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 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 (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 #s(approx (+ (* 1/2 (PI)) (neg b)) (neg.f64 b)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.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)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (+.f64 a b)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) #s(approx (cos b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.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 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (pow a 3) (pow b 3)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* b b) (- (* a a) (* b a))) (fma.f64 (neg.f64 a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(approx (+ (* (- a b) a) (* b b)) (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a))) (*.f64 a a))))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)))))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

4 calls:

27.0ms
r
24.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
24.0ms
a
23.0ms
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 12 to 17 computations (-41.7% saved)

regimes84.0ms (1.6%)

Memory
-27.8MiB live, 168.2MiB allocated; 18ms collecting garbage
Counts
73 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.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)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#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 (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) b))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ a b) 1) (/.f64 a b)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 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 (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 #s(approx (+ (* 1/2 (PI)) (neg b)) (neg.f64 b)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.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)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (+.f64 a b)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) #s(approx (cos b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.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 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (pow a 3) (pow b 3)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* b b) (- (* a a) (* b a))) (fma.f64 (neg.f64 a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(approx (+ (* (- a b) a) (* b b)) (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* b b) (- (* a a) (* b a))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a))) (*.f64 a a))))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))) (sin.f64 a))))
Calls

4 calls:

24.0ms
r
19.0ms
b
19.0ms
a
17.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
77.1%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
77.1%1r
77.1%1a
77.1%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes74.0ms (1.4%)

Memory
42.1MiB live, 131.2MiB allocated; 6ms collecting garbage
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.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)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#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 (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) b))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ a b) 1) (/.f64 a b)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 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 (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 #s(approx (+ (* 1/2 (PI)) (neg b)) (neg.f64 b)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.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)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (+.f64 a b)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) #s(approx (cos b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.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 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (pow a 3) (pow b 3)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* b b) (- (* a a) (* b a))) (fma.f64 (neg.f64 a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(approx (+ (* (- a b) a) (* b b)) (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Calls

4 calls:

19.0ms
r
18.0ms
a
17.0ms
b
16.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
76.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
76.0%1a
76.0%1r
76.0%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes46.0ms (0.9%)

Memory
-14.9MiB live, 86.3MiB allocated; 5ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.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)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#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 (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) b))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ a b) 1) (/.f64 a b)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

4 calls:

12.0ms
b
11.0ms
r
10.0ms
a
10.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
76.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
76.0%1r
76.0%1a
76.0%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes44.0ms (0.8%)

Memory
-2.0MiB live, 90.5MiB allocated; 3ms collecting garbage
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.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)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#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 (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) b))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ a b) 1) (/.f64 a b)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (/ (+ (pow a 3) (pow b 3)) (+ (* (- a b) a) (* b b)))) (/ (PI) 2)) (neg.f64 b))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
Calls

4 calls:

11.0ms
b
11.0ms
r
10.0ms
a
10.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
59.0%1r
59.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
75.9%3a
75.6%3b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.2%)

Memory
-20.7MiB live, 32.6MiB allocated; 2ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.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)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#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 (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) b))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ a b) 1) (/.f64 a b)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))
Calls

1 calls:

9.0ms
a
Results
AccuracySegmentsBranch
75.9%3a
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.3%)

Memory
32.9MiB live, 32.9MiB allocated; 0ms collecting garbage
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.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)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#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 (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) b))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ a b) 1) (/.f64 a b)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Calls

2 calls:

8.0ms
b
8.0ms
a
Results
AccuracySegmentsBranch
75.4%3b
73.8%3a
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes10.0ms (0.2%)

Memory
-26.0MiB live, 19.4MiB allocated; 2ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.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)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#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 (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ a b) 1) b) b))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ a b) 1) (/.f64 a b)) b))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
75.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.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)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#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 (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (/ 1 (pow (sin b) -1))) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
Outputs
#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 (+ a b))) (*.f64 r (tan.f64 b)))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
75.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.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)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#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 (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Calls

3 calls:

4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms
b
4.0ms
a
Results
AccuracySegmentsBranch
59.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
59.0%1a
59.0%1b
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes25.0ms (0.5%)

Memory
-19.7MiB live, 26.6MiB allocated; 2ms collecting garbage
Accuracy

Total -13.6b remaining (-31.9%)

Threshold costs -13.6b (-31.9%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (+ (* a (* r (* (tan b) (tan b)))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b r) #s(literal 1/3 binary64) (*.f64 a r)) b r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.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)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
Calls

4 calls:

15.0ms
a
3.0ms
b
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms
r
Results
AccuracySegmentsBranch
33.3%1r
33.3%1b
33.3%1a
33.3%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch69.0ms (1.3%)

Memory
12.3MiB live, 59.1MiB allocated; 3ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
41.0ms
53041348.44530639
62920279077826160.0
24.0ms
-3.0355820016069046
-5.957065676608922e-10
Samples
47.0ms206×1valid
6.0ms98×0valid
Compiler

Compiled 631 to 513 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sin: 21.0ms (48.1% of total)
ival-cos: 10.0ms (22.9% of total)
adjust: 5.0ms (11.5% of total)
ival-add: 3.0ms (6.9% of total)
ival-div: 2.0ms (4.6% of total)
ival-mult: 2.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
53041348.44530639
62920279077826160.0
1.0ms
-3.0355820016069046
-5.957065676608922e-10
Compiler

Compiled 791 to 603 computations (23.8% saved)

bsearch60.0ms (1.2%)

Memory
-0.3MiB live, 51.9MiB allocated; 5ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
6.331509956630113e-24
0.00102956902740789
32.0ms
-5912173543389.224
-8015613327.580782
Samples
37.0ms205×1valid
6.0ms99×0valid
Compiler

Compiled 658 to 546 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
adjust: 10.0ms (29.9% of total)
ival-cos: 10.0ms (29.9% of total)
ival-sin: 6.0ms (18% of total)
ival-add: 3.0ms (9% of total)
ival-div: 2.0ms (6% of total)
ival-mult: 2.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch58.0ms (1.1%)

Memory
-15.2MiB live, 31.4MiB allocated; 5ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
6.331509956630113e-24
0.00102956902740789
21.0ms
-207877.73038994017
-6.755859389290654e-12
Samples
39.0ms105×1valid
7.0ms119×0valid
Compiler

Compiled 579 to 497 computations (14.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 26.0ms (65.6% of total)
ival-cos: 5.0ms (12.6% of total)
adjust: 3.0ms (7.6% of total)
ival-add: 2.0ms (5% of total)
ival-div: 2.0ms (5% of total)
ival-sin: 2.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.331509956630113e-24
0.00102956902740789
1.0ms
-207877.73038994017
-6.755859389290654e-12
Compiler

Compiled 642 to 539 computations (16% saved)

simplify38.0ms (0.7%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092317
1156317
2284316
3619316
41084316
51934316
Stop Event
1×node limit
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 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -6198106008766409/295147905179352825856 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a))) (if (<=.f64 a #s(literal 55000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))))
(if (<=.f64 a #s(literal -6198106008766409/295147905179352825856 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a)))) (if (<=.f64 a #s(literal 55000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))))
(if (<=.f64 b #s(literal -8100000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 2434970217729661/73786976294838206464 binary64)) (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 b #s(literal -2508757194024499/147573952589676412928 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3172839980678043/73786976294838206464 binary64)) (/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 b #s(literal -2508757194024499/147573952589676412928 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3172839980678043/73786976294838206464 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 r (tan.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -6198106008766409/295147905179352825856 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a))) (if (<=.f64 a #s(literal 55000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))))
(if (<=.f64 a #s(literal -6198106008766409/295147905179352825856 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a)))) (if (<=.f64 a #s(literal 55000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a))))))
(if (or (<=.f64 a #s(literal -6198106008766409/295147905179352825856 binary64)) (not (<=.f64 a #s(literal 55000000 binary64)))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (+ (* b b) (- (* a a) (* b a)))) a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -8100000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 2434970217729661/73786976294838206464 binary64)) (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
(if (or (<=.f64 b #s(literal -8100000000 binary64)) (not (<=.f64 b #s(literal 2434970217729661/73786976294838206464 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a))))
(if (<=.f64 b #s(literal -2508757194024499/147573952589676412928 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3172839980678043/73786976294838206464 binary64)) (/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
(if (or (<=.f64 b #s(literal -2508757194024499/147573952589676412928 binary64)) (not (<=.f64 b #s(literal 3172839980678043/73786976294838206464 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a))))
(if (<=.f64 b #s(literal -2508757194024499/147573952589676412928 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3172839980678043/73786976294838206464 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 r (tan.f64 b)))))
(if (or (<=.f64 b #s(literal -2508757194024499/147573952589676412928 binary64)) (not (<=.f64 b #s(literal 3172839980678043/73786976294838206464 binary64)))) #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 (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))

derivations278.0ms (5.4%)

Memory
-28.5MiB live, 213.2MiB allocated; 58ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 320 to 95 computations (70.3% saved)

preprocess61.0ms (1.2%)

Memory
37.8MiB live, 132.5MiB allocated; 12ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 754 to 278 computations (63.1% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...