rsin A (should all be same)

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze401.0ms (7.4%)

Memory
-28.1MiB live, 367.3MiB allocated; 135ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (28.4%)

Memory
44.5MiB live, 1 778.4MiB allocated; 333ms collecting garbage
Samples
1.0s6 015×1valid
204.0ms2 241×0valid
Precisions
Click to see histograms. Total time spent on operations: 924.0ms
ival-cos: 307.0ms (33.2% of total)
ival-sin: 199.0ms (21.5% of total)
adjust: 181.0ms (19.6% of total)
ival-div: 80.0ms (8.7% of total)
ival-add: 77.0ms (8.3% of total)
ival-mult: 77.0ms (8.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain210.0ms (3.9%)

Memory
7.6MiB live, 145.9MiB allocated; 17ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
71136(-6.235559000289053e+114 1.5801618044283036e-300 -7.624010588913587e+138)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))sensitivity2070
Confusion
Predicted +Predicted -
+700
-13749
Precision
0.33816425120772947
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7000
-137049
Precision?
0.33816425120772947
Recall?
1.0
Freqs
test
numberfreq
049
1207
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
116.0ms402×1valid
8.0ms110×0valid
Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-add: 49.0ms (51.2% of total)
ival-cos: 17.0ms (17.8% of total)
ival-sin: 11.0ms (11.5% of total)
adjust: 10.0ms (10.5% of total)
ival-div: 4.0ms (4.2% of total)
ival-mult: 4.0ms (4.2% of total)
ival-true: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)

preprocess268.0ms (4.9%)

Memory
-0.9MiB live, 196.7MiB allocated; 49ms 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
iter limit
node limit
iter limit
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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

series71.0ms (1.3%)

Memory
0.7MiB live, 58.6MiB allocated; 10ms 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
56.0ms
b
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
3.0ms
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
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)

rewrite216.0ms (4%)

Memory
-1.3MiB live, 231.0MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228937
0235901
11325845
08049811
Stop Event
iter limit
node limit
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
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 566 to 357 computations (77.2% saved)

prune26.0ms (0.5%)

Memory
-8.3MiB live, 35.6MiB allocated; 6ms collecting garbage
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New572279
Fresh000
Picked011
Done000
Total572380
Accuracy
99.8%
Counts
80 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
38.8%
(/.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)))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
35.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
44.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
76.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
57.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
53.9%
(/.f64 (*.f64 r (sin.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))))
50.0%
(/.f64 (*.f64 r (sin.f64 b)) #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))))
51.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
55.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
49.0%
(/.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)))
49.3%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
76.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
54.8%
#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))))
49.2%
#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))
58.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
49.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 855 to 570 computations (33.3% saved)

series79.0ms (1.5%)

Memory
-4.2MiB live, 143.3MiB allocated; 22ms collecting garbage
Counts
33 → 217
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) b)))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b))))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))
(/.f64 (*.f64 a a) (-.f64 a b))
(*.f64 a a)
(-.f64 a b)
(/.f64 (*.f64 b b) (-.f64 a b))
(*.f64 b b)
(/.f64 (*.f64 r (sin.f64 b)) #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 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a))
(*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(*.f64 (cos.f64 a) b)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (- a b)) (/ (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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (* -1 b))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (/ (* a (* r (* (sin b) (sin (neg (* -1 b)))))) (pow (cos (neg (* -1 b))) 2)) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (/ (* (sin (neg (* -1 b))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b))))))) (cos (neg (* -1 b)))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (neg (* -1 b)))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* -1 (* a (sin (neg (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* -1/2 (* a (cos (neg (* -1 b))))) (sin (neg (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* a (+ (* -1/2 (cos (neg (* -1 b)))) (* 1/6 (* a (sin (neg (* -1 b))))))) (sin (neg (* -1 b))))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 b))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (- a (* -1 b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (pow a 2) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ a (pow b 2))) (/ 1 b)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 b)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 a) (* -1 b))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 b) (* a (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 b) (* a (- (* a (- (* -1 (/ a (pow b 2))) (/ 1 b))) 1)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1/2 b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1 a) (* -1/2 b))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1)))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (* -1/2 b)))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))))
#s(approx (* (cos a) b) #s(hole binary64 b))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* -1/2 (* (pow a 2) b)))))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* (pow a 2) (+ (* -1/2 b) (* 1/24 (* (pow a 2) b)))))))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* (pow a 2) (+ (* -1/2 b) (* (pow a 2) (+ (* -1/720 (* (pow a 2) b)) (* 1/24 b))))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (- (/ (pow a 2) (- a b)) (/ (pow b 2) (- a b))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 a))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 a))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (pow b 2) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (- (+ (/ (pow b 4) (pow a 2)) (pow b 2)) (* -1 (/ (pow b 3) a))) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (- (+ (/ (pow b 5) (pow a 3)) (pow b 2)) (+ (* -1 (/ (pow b 3) a)) (* -1 (/ (pow b 4) (pow a 2))))) a)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (- (* -1/2 (* b (cos a))) (sin a))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (* -1/2 (* b (cos a)))))
#s(approx (* (cos a) b) #s(hole binary64 (* b (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a)))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a))))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) (* -1 b)) a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (pow b 2)) a)) (* -1 b)) a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (/ (pow b 4) a) (pow b 3)) a)) (* -1 (pow b 2))) a))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 5) a)) (* -1 (pow b 4))) a)) (pow b 3)) a)) (* -1 (pow b 2))) 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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- 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 a) (- a b)) (/ (* b b) (- 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 (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos a)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (+ a b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a (* b (+ 1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a (* b (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (/ 1 a) (/ b (pow a 2))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (* b (+ (* b (+ (/ 1 (pow a 3)) (/ b (pow a 4)))) (/ 1 (pow a 2)))) (/ 1 a)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (sin a))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* b (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 4) (pow b 2))) (* -1 (pow a 2))) (/ (pow a 3) b)) b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (* -1 (pow a 2))) (+ (/ (pow a 3) b) (/ (pow a 4) (pow b 2)))) b)))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ (pow a 2) (pow b 2))) (+ 1 (/ a b))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ (pow a 3) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* -1/2 (* (pow b 2) (cos a)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1/2 (* b (cos a)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b)))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (/ (pow a 3) b) (pow a 2)) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow a 4) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (* -1 (pow a 4))) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (pow a 2) b)) a) b)))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (* -1 (pow a 2))) b)) a) b)))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (/ (* a a) (- a b)) (* a a) (- a b) (/ (* b b) (- a b)) (* b b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* (* (cos a) b) -1/2) (* (cos a) b) -1/2)
14.0ms
a
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (/ (* a a) (- a b)) (* a a) (- a b) (/ (* b b) (- a b)) (* b b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* (* (cos a) b) -1/2) (* (cos a) b) -1/2)
7.0ms
a
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (/ (* a a) (- a b)) (* a a) (- a b) (/ (* b b) (- a b)) (* b b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* (* (cos a) b) -1/2) (* (cos a) b) -1/2)
7.0ms
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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (/ (* a a) (- a b)) (* a a) (- a b) (/ (* b b) (- a b)) (* b b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* (* (cos a) b) -1/2) (* (cos a) b) -1/2)
6.0ms
b
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (/ (* a a) (- a b)) (* a a) (- a b) (/ (* b b) (- a b)) (* b b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* (* (cos a) b) -1/2) (* (cos a) b) -1/2)

rewrite286.0ms (5.2%)

Memory
-35.3MiB live, 239.5MiB allocated; 101ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09675903
010164893
159294893
083484719
Stop Event
iter limit
node limit
iter limit
Counts
250 → 394
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) b)))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b))))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))
(/.f64 (*.f64 a a) (-.f64 a b))
(*.f64 a a)
(-.f64 a b)
(/.f64 (*.f64 b b) (-.f64 a b))
(*.f64 b b)
(/.f64 (*.f64 r (sin.f64 b)) #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 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a))
(*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(*.f64 (cos.f64 a) b)
#s(literal -1/2 binary64)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (- a b)) (/ (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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (* -1 b))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (/ (* a (* r (* (sin b) (sin (neg (* -1 b)))))) (pow (cos (neg (* -1 b))) 2)) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (/ (* (sin (neg (* -1 b))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b))))))) (cos (neg (* -1 b)))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (neg (* -1 b)))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* -1 (* a (sin (neg (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* -1/2 (* a (cos (neg (* -1 b))))) (sin (neg (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* a (+ (* -1/2 (cos (neg (* -1 b)))) (* 1/6 (* a (sin (neg (* -1 b))))))) (sin (neg (* -1 b))))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 b))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (- a (* -1 b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (pow a 2) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ a (pow b 2))) (/ 1 b)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 b)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 a) (* -1 b))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 b) (* a (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 b) (* a (- (* a (- (* -1 (/ a (pow b 2))) (/ 1 b))) 1)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1/2 b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1 a) (* -1/2 b))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1)))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (* -1/2 b)))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))))
#s(approx (* (cos a) b) #s(hole binary64 b))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* -1/2 (* (pow a 2) b)))))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* (pow a 2) (+ (* -1/2 b) (* 1/24 (* (pow a 2) b)))))))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* (pow a 2) (+ (* -1/2 b) (* (pow a 2) (+ (* -1/720 (* (pow a 2) b)) (* 1/24 b))))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (- (/ (pow a 2) (- a b)) (/ (pow b 2) (- a b))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 a))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 a))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (pow b 2) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (- (+ (/ (pow b 4) (pow a 2)) (pow b 2)) (* -1 (/ (pow b 3) a))) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (- (+ (/ (pow b 5) (pow a 3)) (pow b 2)) (+ (* -1 (/ (pow b 3) a)) (* -1 (/ (pow b 4) (pow a 2))))) a)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (- (* -1/2 (* b (cos a))) (sin a))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (* -1/2 (* b (cos a)))))
#s(approx (* (cos a) b) #s(hole binary64 (* b (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a)))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a))))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) (* -1 b)) a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (pow b 2)) a)) (* -1 b)) a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (/ (pow b 4) a) (pow b 3)) a)) (* -1 (pow b 2))) a))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 5) a)) (* -1 (pow b 4))) a)) (pow b 3)) a)) (* -1 (pow b 2))) 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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- 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 a) (- a b)) (/ (* b b) (- 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 (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos a)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (+ a b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a (* b (+ 1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a (* b (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (/ 1 a) (/ b (pow a 2))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (* b (+ (* b (+ (/ 1 (pow a 3)) (/ b (pow a 4)))) (/ 1 (pow a 2)))) (/ 1 a)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (sin a))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* b (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 4) (pow b 2))) (* -1 (pow a 2))) (/ (pow a 3) b)) b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (* -1 (pow a 2))) (+ (/ (pow a 3) b) (/ (pow a 4) (pow b 2)))) b)))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ (pow a 2) (pow b 2))) (+ 1 (/ a b))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ (pow a 3) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* -1/2 (* (pow b 2) (cos a)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1/2 (* b (cos a)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b)))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (/ (pow a 3) b) (pow a 2)) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow a 4) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (* -1 (pow a 4))) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (pow a 2) b)) a) b)))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (* -1 (pow a 2))) b)) a) b)))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(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 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
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a
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(-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a))))
(+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (cos.f64 a))
(+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (sin.f64 a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (fma.f64 (sin.f64 a) (sin.f64 a) (*.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)))))
(-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a))
(*.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a))
(*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))
(*.f64 (cos.f64 a) b)
(*.f64 b (cos.f64 a))
#s(literal -1/2 binary64)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#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 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (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 (/.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 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 #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 a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 b))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- 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 a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) (sin.f64 b)) 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) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 #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 (+ 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 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (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 (/.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 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 #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 a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 b))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- 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 a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b)
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (+.f64 a b))
#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 a r) (*.f64 (sin.f64 (*.f64 #s(literal 1 binary64) b)) (sin.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (sin.f64 (*.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (sin.f64 (*.f64 #s(literal 1 binary64) b))) (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 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (sin.f64 (*.f64 #s(literal 1 binary64) b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1 binary64) b)) (/.f64 (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (sin.f64 (*.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (sin.f64 (*.f64 #s(literal 1 binary64) b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64))))) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (sin.f64 (*.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (sin.f64 (*.f64 #s(literal 1 binary64) b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 b))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b)) (cos.f64 b)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 (*.f64 #s(literal 1 binary64) b))) a (cos.f64 b)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (sin.f64 (*.f64 #s(literal 1 binary64) b)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) (sin.f64 (*.f64 #s(literal 1 binary64) b))) a (cos.f64 b)))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b)
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (-.f64 a (neg.f64 b)))
#s(approx (/ (* a a) (- a b)) (neg.f64 (/.f64 (*.f64 a a) b)))
#s(approx (/ (* a a) (- a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (/ (* a a) (- a b)) (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal -2 binary64))) a) (pow.f64 b #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (/ (* a a) (- a b)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal -3 binary64))) a) (pow.f64 b #s(literal -2 binary64))) a) (pow.f64 b #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (* a a) (*.f64 a a))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx (/ (* b b) (- a b)) (neg.f64 b))
#s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b)))
#s(approx (/ (* b b) (- a b)) (fma.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) a (neg.f64 b)))
#s(approx (/ (* b b) (- a b)) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) a) #s(literal 1 binary64)) a (neg.f64 b)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (+.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 b b) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) a (neg.f64 b)) a (*.f64 (*.f64 b b) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/2 binary64))) a (neg.f64 b)) a (*.f64 (*.f64 b b) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a b)) #s(literal 1 binary64)) a (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b (*.f64 #s(literal 1/6 binary64) a)) a) #s(literal 1 binary64)) a (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (* (* (cos a) b) -1/2) (*.f64 #s(literal -1/2 binary64) b))
#s(approx (* (* (cos a) b) -1/2) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (* (* (cos a) b) -1/2) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) b) (*.f64 #s(literal 1/4 binary64) b)) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (* (* (cos a) b) -1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 a a) b) (*.f64 #s(literal -1/48 binary64) b)) (*.f64 a a) (*.f64 #s(literal 1/4 binary64) b)) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (* (cos a) b) b)
#s(approx (* (cos a) b) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal -1/2 binary64) b))
#s(approx (* (cos a) b) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) b))
#s(approx (* (cos a) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) b)) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) b))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 (+.f64 a b)))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) a)
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 (+.f64 a b)))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) a)
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a 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 (/ (* a a) (- a b)) a)
#s(approx (/ (* a a) (- a b)) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (* a a) (- a b)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) a))
#s(approx (/ (* a a) (- a b)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 b) 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 (/ (* b b) (- a b)) (/.f64 (*.f64 b b) a))
#s(approx (/ (* b b) (- a b)) (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a))
#s(approx (/ (* b b) (- a b)) (/.f64 (-.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a))) (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) a)) a))
#s(approx (/ (* b b) (- a b)) (/.f64 (-.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) a))) a))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos 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 a) b) -1/2) (sin a)) (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)))
#s(approx (* (* (cos a) b) -1/2) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)))
#s(approx (* (cos a) b) (*.f64 (cos.f64 a) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- 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 (*.f64 (sin.f64 b) r) (cos.f64 (fma.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) a b)) #s(literal -1 binary64) (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) a b))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 (fma.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) a b)) #s(literal -1 binary64) (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) a b)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* a a) (- a b)) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* a a) (- a b)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 b b) a) (neg.f64 b)) a)) #s(literal 1 binary64))))
#s(approx (/ (* a a) (- a b)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) a) (*.f64 b b)) a) b)) a)) #s(literal 1 binary64))))
#s(approx (- a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (/ (* b b) (- a b)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) a)))
#s(approx (/ (* b b) (- a b)) (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) (pow.f64 b #s(literal 3 binary64))) a) #s(literal -1 binary64) (neg.f64 (*.f64 b b))) a)))
#s(approx (/ (* b b) (- a b)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a))) a) #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))) a) #s(literal -1 binary64) (neg.f64 (*.f64 b b))) a)))
#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 (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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 a))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- 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 a) (- a b)) (/ (* b b) (- 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 (* (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 #s(literal 1/24 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) #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 #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 (+ 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 #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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 a))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- 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 a) (- a b)) (/ (* b b) (- 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 (/ (* 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 (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 a))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- 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 a) (- a b)) (/ (* b b) (- 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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (+.f64 a b))
#s(approx (/ (* a a) (- a b)) (+.f64 a b))
#s(approx (/ (* a a) (- a b)) (fma.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b a))
#s(approx (/ (* a a) (- a b)) (fma.f64 (fma.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) b #s(literal 1 binary64)) b a))
#s(approx (- a b) (fma.f64 #s(literal -1 binary64) b a))
#s(approx (/ (* b b) (- a b)) (*.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (/ (* b b) (- a b)) (*.f64 (fma.f64 (+.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64))) b (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (/ (* b b) (- a b)) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal -3 binary64))) b (pow.f64 a #s(literal -2 binary64))) b (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (* b b) (*.f64 b b))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (cos.f64 a))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos 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 a) b) -1/2) (sin a)) (neg.f64 (sin.f64 a)))
#s(approx (sin b) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (tan b) (tan.f64 b))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b))) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 a b))) b))
#s(approx (/ (* a a) (- a b)) (neg.f64 (/.f64 (fma.f64 a a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b)))
#s(approx (/ (* a a) (- a b)) (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64) (-.f64 (neg.f64 (*.f64 a a)) (/.f64 (pow.f64 a #s(literal 3 binary64)) b))) b))
#s(approx (/ (* a a) (- a b)) (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (neg.f64 (*.f64 a a)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) (/.f64 (pow.f64 a #s(literal 3 binary64)) b)))) b))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (* b b) (- a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b))
#s(approx (/ (* b b) (- a b)) (*.f64 (-.f64 (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) (+.f64 (/.f64 a b) #s(literal 1 binary64))) b))
#s(approx (/ (* b b) (- a b)) (*.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 a) b) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b)))) b))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (*.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 a)) b)) (*.f64 b b)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (*.f64 (-.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))) (/.f64 (sin.f64 a) b)) (*.f64 b b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 a)) b)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 (-.f64 a (neg.f64 b))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#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 a) (- a b)) (/ (* b b) (- a b)))) (cos.f64 (-.f64 a (neg.f64 b))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) b) #s(literal -1 binary64) a) b)) #s(literal 1 binary64))))
#s(approx (/ (* a a) (- a b)) (neg.f64 (/.f64 (fma.f64 a a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b)))
#s(approx (/ (* a a) (- a b)) (neg.f64 (/.f64 (fma.f64 a a (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b)) (pow.f64 a #s(literal 3 binary64))) b))) b)))
#s(approx (/ (* a a) (- a b)) (neg.f64 (/.f64 (fma.f64 a a (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) b) (neg.f64 (pow.f64 a #s(literal 4 binary64)))) b)) (pow.f64 a #s(literal 3 binary64))) b))) b)))
#s(approx (- a b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (/ (* b b) (- a b)) (*.f64 (neg.f64 b) (+.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (/ (* b b) (- a b)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 a a) b)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (/ (* b b) (- a b)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (neg.f64 (*.f64 a a))) b)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (*.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 a) b) #s(literal -1 binary64) (sin.f64 a)) b))) (*.f64 b b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (cos.f64 a) (/.f64 (sin.f64 a) b))))

eval87.0ms (1.6%)

Memory
-18.7MiB live, 127.3MiB allocated; 25ms collecting garbage
Compiler

Compiled 13 138 to 2 091 computations (84.1% saved)

prune48.0ms (0.9%)

Memory
40.2MiB live, 129.4MiB allocated; 11ms collecting garbage
Pruning

47 alts after pruning (43 fresh and 4 done)

PrunedKeptTotal
New43432466
Fresh61117
Picked235
Done011
Total44247489
Accuracy
99.8%
Counts
489 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
38.8%
(/.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)))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (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)))))
76.8%
(/.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)))) (cos.f64 (-.f64 b a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
61.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
61.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
53.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
59.1%
(/.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))))
35.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
29.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) #s(approx (- a b) a)))))
28.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(approx (/ (* b b) (- a b)) (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a)))))
52.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
29.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
76.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
45.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (fma.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b a)) (/.f64 (*.f64 b b) (-.f64 a b)))))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (+.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
76.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) a)))
57.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
51.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
55.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
50.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 #s(approx (* (cos a) b) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))))
49.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
48.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (-.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (cos.f64 a)))))))
30.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
49.3%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
30.4%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
76.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
57.9%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b))))
54.8%
#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))))
49.2%
#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))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
32.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
32.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
58.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
30.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
49.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
30.1%
#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 2 142 to 1 378 computations (35.7% saved)

series101.0ms (1.9%)

Memory
-11.7MiB live, 93.6MiB allocated; 14ms collecting garbage
Counts
33 → 241
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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b))))
(-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))
(/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b)))
(*.f64 a a)
#s(approx (- a b) (neg.f64 b))
(neg.f64 b)
(/.f64 (*.f64 b b) (-.f64 a b))
(*.f64 b b)
(-.f64 a 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) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (- a b)) (/ (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 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 (* 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (* -1 b))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (/ (* a (* r (* (sin b) (sin (neg (* -1 b)))))) (pow (cos (neg (* -1 b))) 2)) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (/ (* (sin (neg (* -1 b))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b))))))) (cos (neg (* -1 b)))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (neg (* -1 b)))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* -1 (* a (sin (neg (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* -1/2 (* a (cos (neg (* -1 b))))) (sin (neg (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* a (+ (* -1/2 (cos (neg (* -1 b)))) (* 1/6 (* a (sin (neg (* -1 b))))))) (sin (neg (* -1 b))))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 b))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (- a (* -1 b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (pow a 2) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ a (pow b 2))) (/ 1 b)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 b)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 a) (* -1 b))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 b) (* a (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 b) (* a (- (* a (- (* -1 (/ a (pow b 2))) (/ 1 b))) 1)))))
#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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (- (/ (pow a 2) (- a b)) (/ (pow b 2) (- a b))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 a))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 a))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (pow b 2) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (- (+ (/ (pow b 4) (pow a 2)) (pow b 2)) (* -1 (/ (pow b 3) a))) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (- (+ (/ (pow b 5) (pow a 3)) (pow b 2)) (+ (* -1 (/ (pow b 3) a)) (* -1 (/ (pow b 4) (pow a 2))))) 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 (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a)))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a))))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) (* -1 b)) a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (pow b 2)) a)) (* -1 b)) a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (/ (pow b 4) a) (pow b 3)) a)) (* -1 (pow b 2))) a))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 5) a)) (* -1 (pow b 4))) a)) (pow b 3)) a)) (* -1 (pow b 2))) 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 (* 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- 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 a) (- a b)) (/ (* b b) (- 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 (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos a)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (+ a b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a (* b (+ 1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a (* b (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (/ 1 a) (/ b (pow a 2))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (* b (+ (* b (+ (/ 1 (pow a 3)) (/ b (pow a 4)))) (/ 1 (pow a 2)))) (/ 1 a)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* b (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 4) (pow b 2))) (* -1 (pow a 2))) (/ (pow a 3) b)) b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (* -1 (pow a 2))) (+ (/ (pow a 3) b) (/ (pow a 4) (pow b 2)))) b)))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ (pow a 2) (pow b 2))) (+ 1 (/ a b))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ (pow a 3) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b)))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (/ (pow a 3) b) (pow a 2)) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow a 4) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (* -1 (pow a 4))) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (pow a 2) b)) a) b)))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (* -1 (pow a 2))) b)) a) b)))))))
Calls

9 calls:

TimeVariablePointExpression
52.0ms
a
@inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (/ (* a a) (- a b)) (* a a) (- a b) (neg b) (/ (* b b) (- a b)) (* b b) (- a 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)))
12.0ms
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)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (/ (* a a) (- a b)) (* a a) (- a b) (neg b) (/ (* b b) (- a b)) (* b b) (- a 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
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)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (/ (* a a) (- a b)) (* a a) (- a b) (neg b) (/ (* b b) (- a b)) (* b b) (- a 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
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)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (/ (* a a) (- a b)) (* a a) (- a b) (neg b) (/ (* b b) (- a b)) (* b b) (- a 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
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)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (/ (* a a) (- a b)) (* a a) (- a b) (neg b) (/ (* b b) (- a b)) (* b b) (- a 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)))

rewrite266.0ms (4.9%)

Memory
7.7MiB live, 281.6MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010397234
010795878
162765878
081705661
Stop Event
iter limit
node limit
iter limit
Counts
274 → 447
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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b))))
(-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))
(/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b)))
(*.f64 a a)
#s(approx (- a b) (neg.f64 b))
(neg.f64 b)
(/.f64 (*.f64 b b) (-.f64 a b))
(*.f64 b b)
(-.f64 a 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) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (- a b)) (/ (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 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 (* 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (* -1 b))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (/ (* a (* r (* (sin b) (sin (neg (* -1 b)))))) (pow (cos (neg (* -1 b))) 2)) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (/ (* (sin (neg (* -1 b))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b))))))) (cos (neg (* -1 b)))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (neg (* -1 b)))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* -1 (* a (sin (neg (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* -1/2 (* a (cos (neg (* -1 b))))) (sin (neg (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* a (+ (* -1/2 (cos (neg (* -1 b)))) (* 1/6 (* a (sin (neg (* -1 b))))))) (sin (neg (* -1 b))))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 b))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (- a (* -1 b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (pow a 2) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ a (pow b 2))) (/ 1 b)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* (pow a 2) (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 b)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 a) (* -1 b))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 b) (* a (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (+ (* -1 b) (* a (- (* a (- (* -1 (/ a (pow b 2))) (/ 1 b))) 1)))))
#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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (- (/ (pow a 2) (- a b)) (/ (pow b 2) (- a b))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 a))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 a))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* a (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (pow b 2) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (- (+ (/ (pow b 4) (pow a 2)) (pow b 2)) (* -1 (/ (pow b 3) a))) a)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (/ (- (+ (/ (pow b 5) (pow a 3)) (pow b 2)) (+ (* -1 (/ (pow b 3) a)) (* -1 (/ (pow b 4) (pow a 2))))) 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 (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a)))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a))))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) (* -1 b)) a)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (pow b 2)) a)) (* -1 b)) a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (/ (pow b 4) a) (pow b 3)) a)) (* -1 (pow b 2))) a))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 5) a)) (* -1 (pow b 4))) a)) (pow b 3)) a)) (* -1 (pow b 2))) 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 (* 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- 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 a) (- a b)) (/ (* b b) (- 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 (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos a)))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (+ a b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a (* b (+ 1 (/ b a))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (+ a (* b (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (/ 1 a) (/ b (pow a 2))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a)))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* (pow b 2) (+ (* b (+ (* b (+ (/ 1 (pow a 3)) (/ b (pow a 4)))) (/ 1 (pow a 2)))) (/ 1 a)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* b (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 4) (pow b 2))) (* -1 (pow a 2))) (/ (pow a 3) b)) b)))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (* -1 (pow a 2))) (+ (/ (pow a 3) b) (/ (pow a 4) (pow b 2)))) b)))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ (pow a 2) (pow b 2))) (+ 1 (/ a b))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* b (- (* -1 (/ (pow a 3) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (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)) (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b))))))))
#s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) #s(hole binary64 (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b)))))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)) 1)))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (/ (pow a 3) b) (pow a 2)) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow a 4) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (/ (* a a) (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (* -1 (pow a 4))) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (pow a 2) b)) a) b)))))))
#s(approx (/ (* b b) (- a b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (* -1 (pow a 2))) b)) a) b)))))))
Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (cos.f64 (fma.f64 #s(literal -1 binary64) b a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) (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))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (+.f64 (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))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.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))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) b a))) (cos.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) b a))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) b a))) (sin.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) b a)))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (*.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 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (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 (fma.f64 #s(literal 1 binary64) b a))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 b))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) b a))) (cos.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) b a))) (sin.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) b a)))))
(+.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)))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 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 (*.f64 #s(literal 1 binary64) b))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)))
(cos.f64 (*.f64 #s(literal 1 binary64) b))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(+.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 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)))
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#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 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 (+ a b)))) (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)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (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)) (* (sin b) (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 #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 (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (sin.f64 b) (neg.f64 (sin.f64 b))) a))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 #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 (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) (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 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 (+ a b)))) (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 (* 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 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 (+ a b)))) (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 (/ (sin b) (cos (+ a b))) (tan.f64 b))
#s(approx (/ (sin b) (cos (+ a b))) (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)))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))) a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) a (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (-.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)) (* (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 (+ a b)))) (*.f64 (tan.f64 b) r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 a r) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (neg.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (neg.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (neg.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (neg.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (sin.f64 b)))) a (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (neg.f64 (neg.f64 (sin.f64 b)))) a (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (-.f64 a (neg.f64 b)))
#s(approx (/ (* a a) (- a b)) (neg.f64 (/.f64 (*.f64 a a) b)))
#s(approx (/ (* a a) (- a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (/ (* a a) (- a b)) (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal -2 binary64))) a) (pow.f64 b #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (/ (* a a) (- a b)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal -3 binary64))) a) (pow.f64 b #s(literal -2 binary64))) a) (pow.f64 b #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (* a a) (*.f64 a a))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx (/ (* b b) (- a b)) (neg.f64 b))
#s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b)))
#s(approx (/ (* b b) (- a b)) (fma.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) a (neg.f64 b)))
#s(approx (/ (* b b) (- a b)) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) a) #s(literal 1 binary64)) a (neg.f64 b)))
#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 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 (+ a b)))) (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)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (-.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)) (* (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)) (* (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 (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (- (* (cos b) (cos a)) (* (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)) (* (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 (+ a 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 (/ (* a a) (- a b)) a)
#s(approx (/ (* a a) (- a b)) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (* a a) (- a b)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) a))
#s(approx (/ (* a a) (- a b)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 b) 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 (/ (* b b) (- a b)) (/.f64 (*.f64 b b) a))
#s(approx (/ (* b b) (- a b)) (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a))
#s(approx (/ (* b b) (- a b)) (/.f64 (-.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) a))
#s(approx (/ (* b b) (- a b)) (/.f64 (-.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a)))) a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (- (* (cos b) (cos a)) (* (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 (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (fma.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) a b)) #s(literal -1 binary64) (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) a b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (fma.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) a b)) #s(literal -1 binary64) (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) a b)))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* a a) (- a b)) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* a a) (- a b)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 b b) a) (neg.f64 b)) a)) #s(literal 1 binary64))))
#s(approx (/ (* a a) (- a b)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) (*.f64 b b)) a) b)) a)) #s(literal 1 binary64))))
#s(approx (- a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (/ (* b b) (- a b)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) a)))
#s(approx (/ (* b b) (- a b)) (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) (pow.f64 b #s(literal 3 binary64))) a) #s(literal -1 binary64) (neg.f64 (*.f64 b b))) a)))
#s(approx (/ (* b b) (- a b)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a))) a) #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))) a) #s(literal -1 binary64) (neg.f64 (*.f64 b b))) a)))
#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 (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 b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (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)) (* (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 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (sin.f64 a) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (sin b)) (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 (sin b)) (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 (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (* 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 #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 (* 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 (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (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)) (* (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 (+ 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 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (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)) (* (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 (+ a b) (+.f64 a b))
#s(approx (/ (* a a) (- a b)) (+.f64 a b))
#s(approx (/ (* a a) (- a b)) (fma.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b a))
#s(approx (/ (* a a) (- a b)) (fma.f64 (fma.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) b #s(literal 1 binary64)) b a))
#s(approx (- a b) (fma.f64 #s(literal -1 binary64) b a))
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (* b b) (- a b)) (*.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (/ (* b b) (- a b)) (*.f64 (fma.f64 (+.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64))) b (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (/ (* b b) (- a b)) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal -3 binary64))) b (pow.f64 a #s(literal -2 binary64))) b (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (* b b) (*.f64 b 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 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (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)) (* (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 (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ a b) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b))) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 a b))) b))
#s(approx (/ (* a a) (- a b)) (neg.f64 (/.f64 (fma.f64 a a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b)))
#s(approx (/ (* a a) (- a b)) (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64) (-.f64 (neg.f64 (*.f64 a a)) (/.f64 (pow.f64 a #s(literal 3 binary64)) b))) b))
#s(approx (/ (* a a) (- a b)) (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (neg.f64 (*.f64 a a)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) (/.f64 (pow.f64 a #s(literal 3 binary64)) b)))) b))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (* b b) (- a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b))
#s(approx (/ (* b b) (- a b)) (*.f64 (-.f64 (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) (+.f64 (/.f64 a b) #s(literal 1 binary64))) b))
#s(approx (/ (* b b) (- a b)) (*.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) b) #s(literal -1 binary64) a) b)) #s(literal 1 binary64))))
#s(approx (/ (* a a) (- a b)) (neg.f64 (/.f64 (fma.f64 a a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b)))
#s(approx (/ (* a a) (- a b)) (neg.f64 (/.f64 (fma.f64 a a (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b)) (pow.f64 a #s(literal 3 binary64))) b))) b)))
#s(approx (/ (* a a) (- a b)) (neg.f64 (/.f64 (fma.f64 a a (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) b) (neg.f64 (pow.f64 a #s(literal 4 binary64)))) b)) (pow.f64 a #s(literal 3 binary64))) b))) b)))
#s(approx (- a b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (/ (* b b) (- a b)) (*.f64 (neg.f64 b) (+.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (/ (* b b) (- a b)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 a a) b)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (/ (* b b) (- a b)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (neg.f64 (*.f64 a a))) b)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))

eval107.0ms (2%)

Memory
-15.6MiB live, 128.6MiB allocated; 40ms collecting garbage
Compiler

Compiled 12 075 to 1 897 computations (84.3% saved)

prune129.0ms (2.4%)

Memory
-8.8MiB live, 135.2MiB allocated; 16ms collecting garbage
Pruning

61 alts after pruning (54 fresh and 7 done)

PrunedKeptTotal
New42025445
Fresh92938
Picked235
Done044
Total43161492
Accuracy
99.8%
Counts
492 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
38.8%
(/.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)))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
99.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a))))
77.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (+.f64 b (PI.f64))) (sin.f64 a))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
61.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) #s(approx (sin a) a))))
53.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (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)))))
59.1%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
61.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
34.6%
(/.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))))
35.5%
(/.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 (sin.f64 b) (sin.f64 a))))
55.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) 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))))
34.6%
(/.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))))
35.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
35.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
52.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
36.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) a) #s(literal 1 binary64)) a (neg.f64 b))))))
13.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a)))))
14.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (/.f64 (*.f64 b b) a)))))
46.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
45.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (neg.f64 b)))))
76.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
29.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a #s(approx (- a b) (neg.f64 b)))) (/.f64 (*.f64 b b) (-.f64 a b)))))
45.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (fma.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b a)) (/.f64 (*.f64 b b) (-.f64 a b)))))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (+.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
76.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) a)))
57.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
51.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
50.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 #s(approx (* (cos a) b) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))))
49.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
30.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
18.7%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
49.3%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
30.4%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
59.0%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
46.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (*.f64 b (/.f64 b (-.f64 a b)))))))
57.9%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b))))
54.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
53.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (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)))))
49.3%
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
49.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
54.8%
#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))))
49.2%
#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))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
32.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
32.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
58.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
30.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
49.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
30.1%
#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 2 687 to 1 786 computations (33.5% saved)

series83.0ms (1.5%)

Memory
-8.8MiB live, 137.5MiB allocated; 17ms collecting garbage
Counts
38 → 277
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r)
#s(literal 1/3 binary64)
(*.f64 (*.f64 b b) r)
(*.f64 b b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
#s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))
(fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b)))))
(-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))
(*.f64 a (/.f64 a (-.f64 a b)))
(/.f64 a (-.f64 a b))
(-.f64 a b)
(*.f64 b (/.f64 b (-.f64 a b)))
(/.f64 b (-.f64 a b))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 #s(approx (sin b) b) (sin.f64 a))
#s(approx (sin b) b)
Outputs
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* r (+ 1 (* 1/3 (pow b 2))))))
#s(approx (* (* b b) r) #s(hole binary64 (* (pow b 2) r)))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (- a b)) (/ (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 a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* -1 (* r (- (* -1/3 (pow b 2)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx a #s(hole binary64 a))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (cos b)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (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 (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1/2 b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1 a) (* -1/2 b))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1)))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (* -1 b))))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (+ (/ (* a (* r (* (sin b) (sin (neg (* -1 b)))))) (pow (cos (neg (* -1 b))) 2)) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (/ (* (sin (neg (* -1 b))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b))))))) (cos (neg (* -1 b)))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (cos (neg (* -1 b)))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* -1 (* a (sin (neg (* -1 b))))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* -1/2 (* a (cos (neg (* -1 b))))) (sin (neg (* -1 b))))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* a (+ (* -1/2 (cos (neg (* -1 b)))) (* 1/6 (* a (sin (neg (* -1 b))))))) (sin (neg (* -1 b))))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 b))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (- a (* -1 b))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (/ (pow a 2) b))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* (pow a 2) (- (* -1 (/ a (pow b 2))) (/ 1 b)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* (pow a 2) (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* (pow a 2) (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (/ a (- a b)) #s(hole binary64 (* -1 (/ a b))))
#s(approx (/ a (- a b)) #s(hole binary64 (* a (- (* -1 (/ a (pow b 2))) (/ 1 b)))))
#s(approx (/ a (- a b)) #s(hole binary64 (* a (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (/ a (- a b)) #s(hole binary64 (* a (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 b)))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (+ (* -1 a) (* -1 b))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (+ (* -1 b) (* a (- (* -1 (/ a b)) 1)))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (+ (* -1 b) (* a (- (* a (- (* -1 (/ a (pow b 2))) (/ 1 b))) 1)))))
#s(approx (/ b (- a b)) #s(hole binary64 -1))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* -1 (/ a b)) 1)))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* a (- (* -1 (/ a (pow b 2))) (/ 1 b))) 1)))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* a (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b))) 1)))
#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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (- (* -1/2 (* b (cos a))) (sin a))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (cos (- (/ (pow a 2) (- a b)) (/ (pow b 2) (- a b))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 a))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 a))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* a (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* a (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (/ a (- a b)) #s(hole binary64 1))
#s(approx (/ a (- a b)) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (/ a (- a b)) #s(hole binary64 (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a)))))
#s(approx (/ a (- a b)) #s(hole binary64 (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (/ (pow b 2) a)))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (/ (- (+ (/ (pow b 4) (pow a 2)) (pow b 2)) (* -1 (/ (pow b 3) a))) a)))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (/ (- (+ (/ (pow b 5) (pow a 3)) (pow b 2)) (+ (* -1 (/ (pow b 3) a)) (* -1 (/ (pow b 4) (pow a 2))))) a)))
#s(approx (/ b (- a b)) #s(hole binary64 (/ b a)))
#s(approx (/ b (- a b)) #s(hole binary64 (/ (+ b (/ (pow b 2) a)) a)))
#s(approx (/ b (- a b)) #s(hole binary64 (/ (- (+ b (/ (pow b 3) (pow a 2))) (* -1 (/ (pow b 2) a))) a)))
#s(approx (/ b (- a b)) #s(hole binary64 (/ (- (+ b (/ (pow b 4) (pow a 3))) (+ (* -1 (/ (pow b 2) a)) (* -1 (/ (pow b 3) (pow a 2))))) 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 (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a)))))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a))))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) (* -1 b)) a)) 1)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (pow b 2)) a)) (* -1 b)) a)) 1)))))
#s(approx (/ a (- a b)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a)))))
#s(approx (/ a (- a b)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (/ (pow b 4) a) (pow b 3)) a)) (* -1 (pow b 2))) a))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 5) a)) (* -1 (pow b 4))) a)) (pow b 3)) a)) (* -1 (pow b 2))) a))))
#s(approx (/ b (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 2) a))) a))))
#s(approx (/ b (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (pow b 2)) a))) a))))
#s(approx (/ b (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3))) a)) (pow b 2)) a))) a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (cos a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b 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 (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (sin a))))
#s(approx (* -1/2 b) #s(hole binary64 (* -1/2 b)))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- 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 (/ a (- a b))) (* b (/ b (- 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 (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (cos a)))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (+ a b)))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (+ a b)))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (+ a (* b (+ 1 (/ b a))))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (+ a (* b (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))))))
#s(approx (/ a (- a b)) #s(hole binary64 (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))))
#s(approx (/ a (- a b)) #s(hole binary64 (+ 1 (* b (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a))))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* (pow b 2) (+ (/ 1 a) (/ b (pow a 2))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* (pow b 2) (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a)))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* (pow b 2) (+ (* b (+ (* b (+ (/ 1 (pow a 3)) (/ b (pow a 4)))) (/ 1 (pow a 2)))) (/ 1 a)))))
#s(approx (/ b (- a b)) #s(hole binary64 (* b (+ (/ 1 a) (/ b (pow a 2))))))
#s(approx (/ b (- a b)) #s(hole binary64 (* b (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a)))))
#s(approx (/ b (- a b)) #s(hole binary64 (* b (+ (* b (+ (* b (+ (/ 1 (pow a 3)) (/ b (pow a 4)))) (/ 1 (pow a 2)))) (/ 1 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 (- (* (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 (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (cos b) #s(hole binary64 (cos 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 (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* -1/2 (* (pow b 2) (cos a)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1/2 (* b (cos a)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* b (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b)))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 4) (pow b 2))) (* -1 (pow a 2))) (/ (pow a 3) b)) b)))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (* -1 (pow a 2))) (+ (/ (pow a 3) b) (/ (pow a 4) (pow b 2)))) b)))
#s(approx (/ a (- a b)) #s(hole binary64 (/ (+ (* -1 a) (* -1 (/ (pow a 2) b))) b)))
#s(approx (/ a (- a b)) #s(hole binary64 (/ (- (+ (* -1 a) (* -1 (/ (pow a 3) (pow b 2)))) (/ (pow a 2) b)) b)))
#s(approx (/ a (- a b)) #s(hole binary64 (/ (- (+ (* -1 a) (* -1 (/ (pow a 4) (pow b 3)))) (+ (/ (pow a 2) b) (/ (pow a 3) (pow b 2)))) b)))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* b (- (* -1 (/ (pow a 2) (pow b 2))) (+ 1 (/ a b))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* b (- (* -1 (/ (pow a 3) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* -1 (/ (pow a 2) (pow b 2))) (+ 1 (/ a b)))))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* -1 (/ (pow a 3) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b))))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b)))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)) 1)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (/ (+ (/ (pow a 3) b) (pow a 2)) b))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow a 4) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (* -1 (pow a 4))) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (/ a (- a b)) #s(hole binary64 (* -1 (/ (+ a (/ (pow a 2) b)) b))))
#s(approx (/ a (- a b)) #s(hole binary64 (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) b))))
#s(approx (/ a (- a b)) #s(hole binary64 (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) b))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (pow a 2) b)) a) b)))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (* -1 (pow a 2))) b)) a) b)))))))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* -1 (/ (- (/ (pow a 2) b) (* -1 a)) b)) 1)))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)) (* -1 a)) b)) 1)))
Calls

9 calls:

TimeVariablePointExpression
34.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* -1/2 b) -1/2 (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (* a (/ a (- a b))) (/ a (- a b)) (- a b) (* b (/ b (- a b))) (/ b (- a 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)) (sin b))
9.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* -1/2 b) -1/2 (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (* a (/ a (- a b))) (/ a (- a b)) (- a b) (* b (/ b (- a b))) (/ b (- a 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)) (sin b))
7.0ms
a
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* -1/2 b) -1/2 (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (* a (/ a (- a b))) (/ a (- a b)) (- a b) (* b (/ b (- a b))) (/ b (- a 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)) (sin b))
7.0ms
r
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* -1/2 b) -1/2 (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (* a (/ a (- a b))) (/ a (- a b)) (- a b) (* b (/ b (- a b))) (/ b (- a 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)) (sin b))
6.0ms
r
@0
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* -1/2 b) -1/2 (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (* a (/ a (- a b))) (/ a (- a b)) (- a b) (* b (/ b (- a b))) (/ b (- a 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)) (sin b))

rewrite225.0ms (4.1%)

Memory
20.7MiB live, 338.5MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011357809
011926525
168076525
086896299
Stop Event
iter limit
node limit
iter limit
Counts
315 → 536
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r)
#s(literal 1/3 binary64)
(*.f64 (*.f64 b b) r)
(*.f64 b b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
#s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))
(fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b)))))
(-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))
(*.f64 a (/.f64 a (-.f64 a b)))
(/.f64 a (-.f64 a b))
(-.f64 a b)
(*.f64 b (/.f64 b (-.f64 a b)))
(/.f64 b (-.f64 a b))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 #s(approx (sin b) b) (sin.f64 a))
#s(approx (sin b) b)
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* r (+ 1 (* 1/3 (pow b 2))))))
#s(approx (* (* b b) r) #s(hole binary64 (* (pow b 2) r)))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (- a b)) (/ (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 a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* -1 (* r (- (* -1/3 (pow b 2)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx a #s(hole binary64 a))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (cos b)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (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 (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1/2 b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1 a) (* -1/2 b))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1)))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (* -1 b))))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (+ (/ (* a (* r (* (sin b) (sin (neg (* -1 b)))))) (pow (cos (neg (* -1 b))) 2)) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))) (/ (* (sin (neg (* -1 b))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b))))))) (cos (neg (* -1 b)))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg (* -1 b))) 2))) (pow (cos (neg (* -1 b))) 3))) (* -1/2 (/ (* r (sin b)) (cos (neg (* -1 b)))))))) (* -1 (/ (* r (* (sin b) (sin (neg (* -1 b))))) (pow (cos (neg (* -1 b))) 2))))) (/ (* r (sin b)) (cos (neg (* -1 b)))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (cos (neg (* -1 b)))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* -1 (* a (sin (neg (* -1 b))))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* -1/2 (* a (cos (neg (* -1 b))))) (sin (neg (* -1 b))))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos (neg (* -1 b))) (* a (- (* a (+ (* -1/2 (cos (neg (* -1 b)))) (* 1/6 (* a (sin (neg (* -1 b))))))) (sin (neg (* -1 b))))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 b))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (- a (* -1 b))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (/ (pow a 2) b))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* (pow a 2) (- (* -1 (/ a (pow b 2))) (/ 1 b)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* (pow a 2) (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* (pow a 2) (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (/ a (- a b)) #s(hole binary64 (* -1 (/ a b))))
#s(approx (/ a (- a b)) #s(hole binary64 (* a (- (* -1 (/ a (pow b 2))) (/ 1 b)))))
#s(approx (/ a (- a b)) #s(hole binary64 (* a (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (/ a (- a b)) #s(hole binary64 (* a (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 b)))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (+ (* -1 a) (* -1 b))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (+ (* -1 b) (* a (- (* -1 (/ a b)) 1)))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (+ (* -1 b) (* a (- (* a (- (* -1 (/ a (pow b 2))) (/ 1 b))) 1)))))
#s(approx (/ b (- a b)) #s(hole binary64 -1))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* -1 (/ a b)) 1)))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* a (- (* -1 (/ a (pow b 2))) (/ 1 b))) 1)))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* a (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b))) 1)))
#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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (- (* -1/2 (* b (cos a))) (sin a))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (cos (- (/ (pow a 2) (- a b)) (/ (pow b 2) (- a b))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 a))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 a))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* a (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* a (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (/ a (- a b)) #s(hole binary64 1))
#s(approx (/ a (- a b)) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (/ a (- a b)) #s(hole binary64 (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a)))))
#s(approx (/ a (- a b)) #s(hole binary64 (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (/ (pow b 2) a)))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (/ (- (+ (/ (pow b 4) (pow a 2)) (pow b 2)) (* -1 (/ (pow b 3) a))) a)))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (/ (- (+ (/ (pow b 5) (pow a 3)) (pow b 2)) (+ (* -1 (/ (pow b 3) a)) (* -1 (/ (pow b 4) (pow a 2))))) a)))
#s(approx (/ b (- a b)) #s(hole binary64 (/ b a)))
#s(approx (/ b (- a b)) #s(hole binary64 (/ (+ b (/ (pow b 2) a)) a)))
#s(approx (/ b (- a b)) #s(hole binary64 (/ (- (+ b (/ (pow b 3) (pow a 2))) (* -1 (/ (pow b 2) a))) a)))
#s(approx (/ b (- a b)) #s(hole binary64 (/ (- (+ b (/ (pow b 4) (pow a 3))) (+ (* -1 (/ (pow b 2) a)) (* -1 (/ (pow b 3) (pow a 2))))) 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 (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (/ (* r (sin b)) (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a)))))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (cos (neg (+ (* -1 (/ (pow b 2) (+ b (* -1 a)))) (/ (pow a 2) (+ b (* -1 a))))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) (* -1 b)) a)) 1)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (pow b 2)) a)) (* -1 b)) a)) 1)))))
#s(approx (/ a (- a b)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a)))))
#s(approx (/ a (- a b)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (/ (pow b 4) a) (pow b 3)) a)) (* -1 (pow b 2))) a))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 5) a)) (* -1 (pow b 4))) a)) (pow b 3)) a)) (* -1 (pow b 2))) a))))
#s(approx (/ b (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 2) a))) a))))
#s(approx (/ b (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (pow b 2)) a))) a))))
#s(approx (/ b (- a b)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3))) a)) (pow b 2)) a))) a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (cos a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b 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 (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (sin a))))
#s(approx (* -1/2 b) #s(hole binary64 (* -1/2 b)))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- 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 (/ a (- a b))) (* b (/ b (- 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 (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (cos a)))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (+ a b)))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (+ a b)))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (+ a (* b (+ 1 (/ b a))))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (+ a (* b (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))))))
#s(approx (/ a (- a b)) #s(hole binary64 (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))))
#s(approx (/ a (- a b)) #s(hole binary64 (+ 1 (* b (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a))))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* (pow b 2) (+ (/ 1 a) (/ b (pow a 2))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* (pow b 2) (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a)))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* (pow b 2) (+ (* b (+ (* b (+ (/ 1 (pow a 3)) (/ b (pow a 4)))) (/ 1 (pow a 2)))) (/ 1 a)))))
#s(approx (/ b (- a b)) #s(hole binary64 (* b (+ (/ 1 a) (/ b (pow a 2))))))
#s(approx (/ b (- a b)) #s(hole binary64 (* b (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a)))))
#s(approx (/ b (- a b)) #s(hole binary64 (* b (+ (* b (+ (* b (+ (/ 1 (pow a 3)) (/ b (pow a 4)))) (/ 1 (pow a 2)))) (/ 1 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 (- (* (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 (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (cos b) #s(hole binary64 (cos 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 (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* -1/2 (* (pow b 2) (cos a)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1/2 (* b (cos a)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* b (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b)))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 4) (pow b 2))) (* -1 (pow a 2))) (/ (pow a 3) b)) b)))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (* -1 (pow a 2))) (+ (/ (pow a 3) b) (/ (pow a 4) (pow b 2)))) b)))
#s(approx (/ a (- a b)) #s(hole binary64 (/ (+ (* -1 a) (* -1 (/ (pow a 2) b))) b)))
#s(approx (/ a (- a b)) #s(hole binary64 (/ (- (+ (* -1 a) (* -1 (/ (pow a 3) (pow b 2)))) (/ (pow a 2) b)) b)))
#s(approx (/ a (- a b)) #s(hole binary64 (/ (- (+ (* -1 a) (* -1 (/ (pow a 4) (pow b 3)))) (+ (/ (pow a 2) b) (/ (pow a 3) (pow b 2)))) b)))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* b (- (* -1 (/ (pow a 2) (pow b 2))) (+ 1 (/ a b))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* b (- (* -1 (/ (pow a 3) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2))))))))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* -1 (/ (pow a 2) (pow b 2))) (+ 1 (/ a b)))))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* -1 (/ (pow a 3) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))))
#s(approx (/ (* r (sin b)) (cos (- (* a (/ a (- a b))) (* b (/ b (- a b)))))) #s(hole binary64 (/ (* r (sin b)) (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b))))))))
#s(approx (cos (- (* a (/ a (- a b))) (* b (/ b (- a b))))) #s(hole binary64 (cos (- (/ (pow a 2) (+ a (* -1 b))) (/ (pow b 2) (+ a (* -1 b)))))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)) 1)))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (/ (+ (/ (pow a 3) b) (pow a 2)) b))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow a 4) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (* a (/ a (- a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (* -1 (pow a 4))) b)) (pow a 3)) b)) (pow a 2)) b))))
#s(approx (/ a (- a b)) #s(hole binary64 (* -1 (/ (+ a (/ (pow a 2) b)) b))))
#s(approx (/ a (- a b)) #s(hole binary64 (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) b))))
#s(approx (/ a (- a b)) #s(hole binary64 (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) b))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (pow a 2) b)) a) b)))))))
#s(approx (* b (/ b (- a b))) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (* -1 (pow a 2))) b)) a) b)))))))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* -1 (/ (- (/ (pow a 2) b) (* -1 a)) b)) 1)))
#s(approx (/ b (- a b)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)) (* -1 a)) b)) 1)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (-.f64 a (neg.f64 b))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (*.f64 (/.f64 a (-.f64 a b)) a)) (cos.f64 (*.f64 (/.f64 b (-.f64 a b)) b)) (*.f64 (sin.f64 (*.f64 (/.f64 a (-.f64 a b)) a)) (sin.f64 (*.f64 (/.f64 b (-.f64 a b)) b))))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) b a))) (cos.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) b a))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) b a))) (sin.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) b a)))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (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))))
(-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 a (-.f64 a b)) a)) (cos.f64 (*.f64 (neg.f64 b) (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 (/.f64 a (-.f64 a b)) a)) (sin.f64 (*.f64 (neg.f64 b) (/.f64 b (-.f64 a b))))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (neg.f64 (sin.f64 b)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (neg.f64 (-.f64 a (neg.f64 b)))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 b))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 (/.f64 a (-.f64 a b)) a)) (cos.f64 (*.f64 (/.f64 b (-.f64 a b)) b))) (*.f64 (sin.f64 (*.f64 (/.f64 a (-.f64 a b)) a)) (sin.f64 (*.f64 (/.f64 b (-.f64 a b)) b))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) b a))) (cos.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) b a))) (sin.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) b a)))))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 a)
a
(*.f64 #s(literal -1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal -1 binary64))
(neg.f64 (sin.f64 b))
(fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 b))
(sin.f64 (+.f64 b (PI.f64)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (PI.f64))) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) b)))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) a)) (cos.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) (+.f64 a b))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1 binary64) b (neg.f64 a))) (cos.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1 binary64) b a)) (cos.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) a b)) (cos.f64 (-.f64 b (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1 binary64) b)))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1 binary64) b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) (+.f64 a b))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 1 binary64) b))) (cos.f64 (*.f64 #s(literal -1 binary64) (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) a b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 (*.f64 #s(literal 1 binary64) b)))) (cos.f64 (-.f64 a (neg.f64 (*.f64 #s(literal 1 binary64) b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b a)) (cos.f64 (+.f64 a b))) #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 b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))
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(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)))
(cos.f64 (neg.f64 b))
(cos.f64 (*.f64 #s(literal 1 binary64) b))
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(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))))
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(/.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))
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(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)))
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(*.f64 (*.f64 b b) r)
(*.f64 b (*.f64 b r))
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(*.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))))
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(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
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(fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))
(fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 a))
(+.f64 (*.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b) (cos.f64 a))
(+.f64 (cos.f64 a) (*.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b))
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(*.f64 #s(literal -1/2 binary64) b)
(*.f64 b #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
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(/.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)))
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(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
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(fma.f64 (sin.f64 (-.f64 a (neg.f64 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)))))
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(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (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))))
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(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (neg.f64 (-.f64 a (neg.f64 b)))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (-.f64 a (neg.f64 b)))
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(/.f64 (*.f64 b b) (-.f64 a b))
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(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) b)))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) a)) (cos.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) (+.f64 a b))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1 binary64) b (neg.f64 a))) (cos.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1 binary64) b a)) (cos.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) a b)) (cos.f64 (-.f64 b (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1 binary64) b)))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1 binary64) b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) (+.f64 a b))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 1 binary64) b))) (cos.f64 (*.f64 #s(literal -1 binary64) (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) a b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 (*.f64 #s(literal 1 binary64) b)))) (cos.f64 (-.f64 a (neg.f64 (*.f64 #s(literal 1 binary64) b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b a)) (cos.f64 (+.f64 a b))) #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 b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(*.f64 #s(approx (sin b) b) (sin.f64 a))
(*.f64 (sin.f64 a) #s(approx (sin b) b))
#s(approx (sin b) b)
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r) b))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r))
#s(approx (* (* b b) r) (*.f64 (*.f64 b b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (neg.f64 b) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 #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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#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 a a)
#s(approx (* (cos a) (cos b)) (cos.f64 b))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 #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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (+.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 b b) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) a (neg.f64 b)) a (*.f64 (*.f64 b b) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/2 binary64))) a (neg.f64 b)) a (*.f64 (*.f64 b b) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a b)) #s(literal 1 binary64)) a (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b (*.f64 #s(literal 1/6 binary64) a)) a) #s(literal 1 binary64)) a (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 a r) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (neg.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (neg.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) (/.f64 (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (neg.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64))))) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (neg.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (sin.f64 b)))) a (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) (neg.f64 (neg.f64 (sin.f64 b)))) a (cos.f64 b)))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) b)
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (-.f64 a (neg.f64 b)))
#s(approx (* a (/ a (- a b))) (neg.f64 (/.f64 (*.f64 a a) b)))
#s(approx (* a (/ a (- a b))) (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (* a (/ a (- a b))) (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal -2 binary64))) a) (pow.f64 b #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (* a (/ a (- a b))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal -3 binary64))) a) (pow.f64 b #s(literal -2 binary64))) a) (pow.f64 b #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (/ a (- a b)) (/.f64 (neg.f64 a) b))
#s(approx (/ a (- a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) a))
#s(approx (/ a (- a b)) (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal -2 binary64))) a) (pow.f64 b #s(literal -1 binary64))) a))
#s(approx (/ a (- a b)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal -3 binary64))) a) (pow.f64 b #s(literal -2 binary64))) a) (pow.f64 b #s(literal -1 binary64))) a))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx (* b (/ b (- a b))) (neg.f64 b))
#s(approx (* b (/ b (- a b))) (*.f64 #s(literal -1 binary64) (+.f64 a b)))
#s(approx (* b (/ b (- a b))) (fma.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) a (neg.f64 b)))
#s(approx (* b (/ b (- a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) a) #s(literal 1 binary64)) a (neg.f64 b)))
#s(approx (/ b (- a b)) #s(literal -1 binary64))
#s(approx (/ b (- a b)) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)))
#s(approx (/ b (- a b)) (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) a) #s(literal 1 binary64)))
#s(approx (/ b (- a b)) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal -2 binary64))) a) (pow.f64 b #s(literal -1 binary64))) a) #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 #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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (cos.f64 b))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.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 (*.f64 a a) (sin.f64 b)) #s(literal -1/6 binary64) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 #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 (*.f64 a a) (sin.f64 b)) #s(literal -1/5040 binary64) (*.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) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (* (cos a) (cos b)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (cos a) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos 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 a) b) -1/2) (sin a)) (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) a)
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a 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 (* a (/ a (- a b))) a)
#s(approx (* a (/ a (- a b))) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (* a (/ a (- a b))) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (neg.f64 b) a)) a))
#s(approx (* a (/ a (- a b))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 b) a))) a))
#s(approx (/ a (- a b)) #s(literal 1 binary64))
#s(approx (/ a (- a b)) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
#s(approx (/ a (- a b)) (-.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (neg.f64 b) a)))
#s(approx (/ a (- a b)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 b) 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 (* b (/ b (- a b))) (/.f64 (*.f64 b b) a))
#s(approx (* b (/ b (- a b))) (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a))
#s(approx (* b (/ b (- a b))) (/.f64 (-.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) a))
#s(approx (* b (/ b (- a b))) (/.f64 (-.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a)))) a))
#s(approx (/ b (- a b)) (/.f64 b a))
#s(approx (/ b (- a b)) (/.f64 (+.f64 (/.f64 (*.f64 b b) a) b) a))
#s(approx (/ b (- a b)) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a a)) b) (neg.f64 (/.f64 (*.f64 b b) a))) a))
#s(approx (/ b (- a b)) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))) b) (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a a)) #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) a)))) a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos a) (cos b)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (fma.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) a b)) #s(literal -1 binary64) (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) a b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (fma.f64 (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) a b)) #s(literal -1 binary64) (/.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) a b)))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (* a (/ a (- a b))) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (* a (/ a (- a b))) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 b b) a) (neg.f64 b)) a)) #s(literal 1 binary64))))
#s(approx (* a (/ a (- a b))) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) (*.f64 b b)) a) b)) a)) #s(literal 1 binary64))))
#s(approx (/ a (- a b)) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ a (- a b)) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (neg.f64 (*.f64 b b))) a)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (- a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (* b (/ b (- a b))) (neg.f64 (neg.f64 (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a))))
#s(approx (* b (/ b (- a b))) (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) (pow.f64 b #s(literal 3 binary64))) a) #s(literal -1 binary64) (neg.f64 (*.f64 b b))) a)))
#s(approx (* b (/ b (- a b))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a))) a) #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))) a) #s(literal -1 binary64) (neg.f64 (*.f64 b b))) a)))
#s(approx (/ b (- a b)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 b b) a) b)) a)))
#s(approx (/ b (- a b)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 b (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a))) a)))
#s(approx (/ b (- a b)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 b b (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) (pow.f64 b #s(literal 3 binary64))) a)))) a) #s(literal -1 binary64) (neg.f64 b)) a)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 (neg (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (* (cos a) (cos b)) (cos.f64 a))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal -1/2 binary64) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) #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 #s(literal 1/24 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (cos.f64 a))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (neg.f64 (sin.f64 a)))
#s(approx (* -1/2 b) (*.f64 #s(literal -1/2 binary64) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (/ a (- a b))) (* b (/ b (- a b)))) (+.f64 a b))
#s(approx (* a (/ a (- a b))) (+.f64 a b))
#s(approx (* a (/ a (- a b))) (fma.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b a))
#s(approx (* a (/ a (- a b))) (fma.f64 (fma.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) b #s(literal 1 binary64)) b a))
#s(approx (/ a (- a b)) (fma.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) b #s(literal 1 binary64)))
#s(approx (/ a (- a b)) (fma.f64 (fma.f64 (+.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64))) b (pow.f64 a #s(literal -1 binary64))) b #s(literal 1 binary64)))
#s(approx (- a b) (fma.f64 #s(literal -1 binary64) b a))
#s(approx (* b (/ b (- a b))) (*.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (* b (/ b (- a b))) (*.f64 (fma.f64 (+.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64))) b (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (* b (/ b (- a b))) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal -3 binary64))) b (pow.f64 a #s(literal -2 binary64))) b (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (/ b (- a b)) (*.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) b))
#s(approx (/ b (- a b)) (*.f64 (fma.f64 (+.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64))) b (pow.f64 a #s(literal -1 binary64))) b))
#s(approx (/ b (- a b)) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal -3 binary64))) b (pow.f64 a #s(literal -2 binary64))) b (pow.f64 a #s(literal -1 binary64))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (* (cos a) (cos b)) (cos.f64 a))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal -1/2 binary64) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (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 (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (cos b) (cos.f64 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 (* (+ (* 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 (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (/.f64 (neg.f64 (sin.f64 a)) b)) (*.f64 b b)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 b b))) (/.f64 (sin.f64 a) b)) (*.f64 b b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (/.f64 (neg.f64 (sin.f64 a)) b)) b))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b))) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 a b))) b))
#s(approx (* a (/ a (- a b))) (neg.f64 (/.f64 (fma.f64 a a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b)))
#s(approx (* a (/ a (- a b))) (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64) (-.f64 (neg.f64 (*.f64 a a)) (/.f64 (pow.f64 a #s(literal 3 binary64)) b))) b))
#s(approx (* a (/ a (- a b))) (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (neg.f64 (*.f64 a a)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) (/.f64 (pow.f64 a #s(literal 3 binary64)) b)))) b))
#s(approx (/ a (- a b)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 a a) b) a) b)))
#s(approx (/ a (- a b)) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 a)) (/.f64 (*.f64 a a) b)) b))
#s(approx (/ a (- a b)) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (neg.f64 a)) (/.f64 (*.f64 a a) b)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 b b))) b))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* b (/ b (- a b))) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b))
#s(approx (* b (/ b (- a b))) (*.f64 (-.f64 (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) (+.f64 (/.f64 a b) #s(literal 1 binary64))) b))
#s(approx (* b (/ b (- a b))) (*.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b)))) b))
#s(approx (/ b (- a b)) (-.f64 (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) (+.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (/ b (- a b)) (-.f64 (neg.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) r (neg.f64 (/.f64 r (*.f64 b b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 a) b) #s(literal -1 binary64) (sin.f64 a)) b))) (*.f64 b b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (cos.f64 a) (/.f64 (sin.f64 a) b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (- (* a (/ a (- a b))) (* b (/ b (- a b)))) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) b) #s(literal -1 binary64) a) b)) #s(literal 1 binary64))))
#s(approx (* a (/ a (- a b))) (neg.f64 (/.f64 (fma.f64 a a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b)))
#s(approx (* a (/ a (- a b))) (neg.f64 (/.f64 (fma.f64 a a (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 a #s(literal 4 binary64))) b) (pow.f64 a #s(literal 3 binary64))) b))) b)))
#s(approx (* a (/ a (- a b))) (neg.f64 (/.f64 (fma.f64 a a (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) b) (neg.f64 (pow.f64 a #s(literal 4 binary64)))) b)) (pow.f64 a #s(literal 3 binary64))) b))) b)))
#s(approx (/ a (- a b)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 a a) b) a) b)))
#s(approx (/ a (- a b)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 a a)) b) #s(literal -1 binary64) a) b)))
#s(approx (/ a (- a b)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) (neg.f64 (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 a a)) b) #s(literal -1 binary64) a) b)))
#s(approx (- a b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* b (/ b (- a b))) (*.f64 (neg.f64 b) (+.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (* b (/ b (- a b))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 a a) b)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* b (/ b (- a b))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (neg.f64 (*.f64 a a))) b)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (/ b (- a b)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 a a) b) (neg.f64 a)) b)) #s(literal 1 binary64)))
#s(approx (/ b (- a b)) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 a a)) b) a)) b)) #s(literal 1 binary64)))

eval100.0ms (1.8%)

Memory
2.8MiB live, 160.0MiB allocated; 25ms collecting garbage
Compiler

Compiled 16 406 to 2 511 computations (84.7% saved)

prune78.0ms (1.4%)

Memory
-0.3MiB live, 143.3MiB allocated; 11ms collecting garbage
Pruning

70 alts after pruning (62 fresh and 8 done)

PrunedKeptTotal
New53924563
Fresh113849
Picked325
Done167
Total55470624
Accuracy
99.8%
Counts
624 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
38.8%
(/.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)))
99.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (*.f64 (cos.f64 a) (cos.f64 b))))
77.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))))
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))))
53.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b))))
59.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
55.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
61.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) #s(approx (sin a) a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.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)))))
59.1%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (+.f64 #s(approx (* (cos b) (cos 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))))
50.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
34.6%
(/.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))))
35.5%
(/.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))))
55.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
34.6%
(/.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))))
35.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
35.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
52.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
36.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) a) #s(literal 1 binary64)) a (neg.f64 b))))))
14.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (/.f64 (*.f64 b b) a)))))
46.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
45.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (neg.f64 b)))))
57.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a b)))))))
45.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b #s(approx (- a b) a))))))
42.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b #s(approx (/ b (- a b)) (/.f64 (+.f64 (/.f64 (*.f64 b b) a) b) a))))))
38.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b #s(approx (/ b (- a b)) (*.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) b))))))
29.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a #s(approx (- a b) (neg.f64 b)))) (/.f64 (*.f64 b b) (-.f64 a b)))))
42.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a #s(approx (/ a (- a b)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 a a) b) a) b)))) (*.f64 b (/.f64 b (-.f64 a b))))))
45.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (fma.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b a)) (/.f64 (*.f64 b b) (-.f64 a b)))))
52.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (* a (/ a (- a b))) (+.f64 a b)) (*.f64 b (/.f64 b (-.f64 a b))))))
76.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) a)))
57.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
51.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
50.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 #s(approx (* (cos a) b) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))))
30.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b #s(approx (cos a) #s(literal 1 binary64)))))
18.7%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
49.3%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
30.4%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
48.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
52.1%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
49.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
49.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
59.0%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
46.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (*.f64 b (/.f64 b (-.f64 a b)))))))
57.9%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b))))
54.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
53.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (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)))))
49.3%
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
49.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
49.2%
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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))
49.3%
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
54.8%
#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))))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
32.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
32.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
58.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
30.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
30.1%
#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)))
21.7%
#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)))
10.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
13.8%
#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)))
Compiler

Compiled 4 264 to 1 641 computations (61.5% saved)

regimes114.0ms (2.1%)

Memory
3.5MiB live, 190.1MiB allocated; 21ms collecting garbage
Counts
104 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a 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)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b))))
(/.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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b)) (/.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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (neg.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (* a (/ a (- a b))) (+.f64 a b)) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (+.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (/.f64 (*.f64 b b) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b #s(approx (- a b) a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) #s(approx (- a b) a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (*.f64 b (/.f64 b (-.f64 a b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a #s(approx (- a b) (neg.f64 b)))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (fma.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b a)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b #s(approx (/ b (- a b)) (/.f64 (+.f64 (/.f64 (*.f64 b b) a) b) a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a #s(approx (/ a (- a b)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 a a) b) a) b)))) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.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))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.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 (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 #s(approx (* (cos a) b) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.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)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(approx (/ (* b b) (- a b)) (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b #s(approx (/ b (- a b)) (*.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) a) #s(literal 1 binary64)) a (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)))))
(/.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))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #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))))
(/.f64 (*.f64 r (sin.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))))
(/.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))))
#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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (*.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 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b))))
(/.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 (*.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)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (+.f64 b (PI.f64))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (cos.f64 (-.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (-.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Calls

4 calls:

28.0ms
r
28.0ms
b
26.0ms
a
25.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.6%1r
99.6%1a
99.6%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes133.0ms (2.4%)

Memory
22.7MiB live, 166.6MiB allocated; 12ms collecting garbage
Counts
89 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a 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)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b))))
(/.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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b)) (/.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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (neg.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (* a (/ a (- a b))) (+.f64 a b)) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (+.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (/.f64 (*.f64 b b) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b #s(approx (- a b) a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) #s(approx (- a b) a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (*.f64 b (/.f64 b (-.f64 a b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a #s(approx (- a b) (neg.f64 b)))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (fma.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b a)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b #s(approx (/ b (- a b)) (/.f64 (+.f64 (/.f64 (*.f64 b b) a) b) a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a #s(approx (/ a (- a b)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 a a) b) a) b)))) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.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))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.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 (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 #s(approx (* (cos a) b) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.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)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(approx (/ (* b b) (- a b)) (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b #s(approx (/ b (- a b)) (*.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) a) #s(literal 1 binary64)) a (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)))))
(/.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))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #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))))
(/.f64 (*.f64 r (sin.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))))
(/.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))))
#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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (*.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 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b))))
(/.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 (*.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))))
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:

60.0ms
b
25.0ms
a
23.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
21.0ms
r
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)

regimes100.0ms (1.8%)

Memory
1.9MiB live, 195.4MiB allocated; 19ms collecting garbage
Counts
88 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a 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)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b))))
(/.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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b)) (/.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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (neg.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (* a (/ a (- a b))) (+.f64 a b)) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (+.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (/.f64 (*.f64 b b) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b #s(approx (- a b) a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) #s(approx (- a b) a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (*.f64 b (/.f64 b (-.f64 a b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a #s(approx (- a b) (neg.f64 b)))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (fma.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b a)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b #s(approx (/ b (- a b)) (/.f64 (+.f64 (/.f64 (*.f64 b b) a) b) a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a #s(approx (/ a (- a b)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 a a) b) a) b)))) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.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))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (- (/ (* a a) (- a b)) (/ (* b b) (- a b)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.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 (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 #s(approx (* (cos a) b) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.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)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(approx (/ (* b b) (- a b)) (/.f64 (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b #s(approx (/ b (- a b)) (*.f64 (+.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))) a) #s(literal 1 binary64)) a (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)))))
(/.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))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #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))))
(/.f64 (*.f64 r (sin.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))))
(/.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))))
#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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (*.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 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b))))
(/.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 (*.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)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
Calls

4 calls:

27.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
23.0ms
a
22.0ms
b
21.0ms
r
Results
AccuracySegmentsBranch
76.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
76.9%1r
76.9%1a
76.9%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes56.0ms (1%)

Memory
-5.4MiB live, 132.7MiB allocated; 9ms collecting garbage
Counts
47 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a 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)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b))))
(/.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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b)) (/.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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (neg.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (* a (/ a (- a b))) (+.f64 a b)) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(approx (/ (* a a) (- a b)) (+.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(approx (/ (* b b) (- a b)) (*.f64 #s(literal -1 binary64) (+.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) #s(approx (/ (* b b) (- a b)) (/.f64 (*.f64 b b) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b #s(approx (- a b) a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) #s(approx (- a b) a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (*.f64 b (/.f64 b (-.f64 a b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a #s(approx (- a b) (neg.f64 b)))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Calls

4 calls:

14.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
14.0ms
b
12.0ms
r
12.0ms
a
Results
AccuracySegmentsBranch
76.8%1b
76.8%1r
76.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
76.8%1a
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes33.0ms (0.6%)

Memory
-25.2MiB live, 75.6MiB allocated; 3ms collecting garbage
Counts
27 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a 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)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b))))
(/.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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) a)))
(*.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:

9.0ms
b
8.0ms
r
7.0ms
a
7.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
76.8%1r
76.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
76.8%1a
76.8%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes30.0ms (0.5%)

Memory
12.5MiB live, 59.4MiB 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a 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)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b))))
(/.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 (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) a)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
Calls

4 calls:

8.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
7.0ms
b
7.0ms
r
7.0ms
a
Results
AccuracySegmentsBranch
64.4%4r
63.2%3(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
76.9%3a
76.9%3b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Counts
23 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a 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)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (- (/ (* a a) (- a b)) (/ (* b b) (- a b))) b))))
Outputs
(*.f64 r (/.f64 (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 (+ a b) a))))
Calls

1 calls:

6.0ms
a
Results
AccuracySegmentsBranch
76.9%3a
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory
-18.9MiB live, 28.0MiB allocated; 2ms collecting garbage
Counts
21 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a 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)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (- (* (* (cos a) b) -1/2) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (-.f64 (/.f64 (*.f64 a a) #s(approx (- a b) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Calls

2 calls:

7.0ms
a
6.0ms
b
Results
AccuracySegmentsBranch
76.9%3b
74.9%3a
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
14 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a 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)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
76.9%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
13 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
76.9%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
-41.1MiB live, 9.2MiB allocated; 3ms collecting garbage
Counts
10 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.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
76.9%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.2%)

Memory
29.9MiB live, 29.9MiB allocated; 0ms collecting garbage
Counts
8 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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))) (*.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

4 calls:

3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms
a
3.0ms
r
3.0ms
b
Results
AccuracySegmentsBranch
58.0%1r
58.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
58.0%1a
58.0%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.2%)

Memory
-32.2MiB live, 14.0MiB allocated; 2ms collecting garbage
Accuracy

Total -17.7b remaining (-39.8%)

Threshold costs -17.7b (-39.8%)

Counts
5 → 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 (* 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 (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.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:

6.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
2.0ms
b
2.0ms
r
2.0ms
a
Results
AccuracySegmentsBranch
30.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
30.5%1a
30.5%1r
30.5%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch32.0ms (0.6%)

Memory
36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
8.146370919223013e-10
1722.0703738300508
5.0ms
-12.902940811771584
-11.867991766097811
Samples
15.0ms94×1valid
6.0ms98×0valid
Compiler

Compiled 312 to 278 computations (10.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 5.0ms (31.7% of total)
ival-sin: 4.0ms (25.4% of total)
adjust: 2.0ms (12.7% of total)
ival-add: 1.0ms (6.3% of total)
ival-div: 1.0ms (6.3% of total)
ival-mult: 1.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.146370919223013e-10
1722.0703738300508
0.0ms
-12.902940811771584
-11.867991766097811
Compiler

Compiled 312 to 278 computations (10.9% saved)

bsearch44.0ms (0.8%)

Memory
-7.9MiB live, 38.7MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
6.318882978799885e-8
6.484772195003111e-6
25.0ms
-8156399.919096215
-5.838339707848583e-10
Samples
18.0ms134×1valid
8.0ms138×0valid
Compiler

Compiled 777 to 609 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 6.0ms (32.3% of total)
adjust: 3.0ms (16.2% of total)
ival-sin: 3.0ms (16.2% of total)
ival-add: 2.0ms (10.8% of total)
ival-div: 2.0ms (10.8% of total)
ival-mult: 2.0ms (10.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
6.3MiB live, 6.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.318882978799885e-8
6.484772195003111e-6
1.0ms
-8156399.919096215
-5.838339707848583e-10
Compiler

Compiled 437 to 388 computations (11.2% saved)

bsearch20.0ms (0.4%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.318882978799885e-8
6.484772195003111e-6
17.0ms
-8156399.919096215
-5.838339707848583e-10
Samples
8.0ms63×1valid
4.0ms65×0valid
Compiler

Compiled 488 to 422 computations (13.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (34.5% of total)
adjust: 2.0ms (23% of total)
ival-add: 1.0ms (11.5% of total)
ival-div: 1.0ms (11.5% of total)
ival-mult: 1.0ms (11.5% of total)
ival-sin: 1.0ms (11.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch15.0ms (0.3%)

Memory
-45.1MiB live, 1.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.318882978799885e-8
6.484772195003111e-6
1.0ms
-8156399.919096215
-5.838339707848583e-10
Compiler

Compiled 522 to 439 computations (15.9% saved)

simplify53.0ms (1%)

Memory
35.1MiB live, 35.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091343
1135343
2179343
3223343
4255343
5341343
6873343
75278343
Stop Event
node limit
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 (*.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)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.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 -12 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a)))) (if (<=.f64 a #s(literal 5534023222112865/4611686018427387904 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))))
(if (<=.f64 a #s(literal -12 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a)))) (if (<=.f64 a #s(literal 5534023222112865/4611686018427387904 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))))
(if (<=.f64 b #s(literal -7378697629483821/147573952589676412928 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3246626956972881/590295810358705651712 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 b #s(literal -7378697629483821/147573952589676412928 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3246626956972881/590295810358705651712 binary64)) (/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 b #s(literal -5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3246626956972881/590295810358705651712 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 b #s(literal -5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3246626956972881/590295810358705651712 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)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))))
(/.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 -12 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a)))) (if (<=.f64 a #s(literal 5534023222112865/4611686018427387904 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))))
(if (<=.f64 a #s(literal -12 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a)))) (if (<=.f64 a #s(literal 5534023222112865/4611686018427387904 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))))
(if (or (<=.f64 a #s(literal -12 binary64)) (not (<=.f64 a #s(literal 5534023222112865/4611686018427387904 binary64)))) (*.f64 r (/.f64 (sin.f64 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 -7378697629483821/147573952589676412928 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3246626956972881/590295810358705651712 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
(if (or (<=.f64 b #s(literal -7378697629483821/147573952589676412928 binary64)) (not (<=.f64 b #s(literal 3246626956972881/590295810358705651712 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
(if (<=.f64 b #s(literal -7378697629483821/147573952589676412928 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3246626956972881/590295810358705651712 binary64)) (/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
(if (or (<=.f64 b #s(literal -7378697629483821/147573952589676412928 binary64)) (not (<=.f64 b #s(literal 3246626956972881/590295810358705651712 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3246626956972881/590295810358705651712 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
(if (or (<=.f64 b #s(literal -5902958103587057/1180591620717411303424 binary64)) (not (<=.f64 b #s(literal 3246626956972881/590295810358705651712 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))))
(if (<=.f64 b #s(literal -5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3246626956972881/590295810358705651712 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 -5902958103587057/1180591620717411303424 binary64)) (not (<=.f64 b #s(literal 3246626956972881/590295810358705651712 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)))

derivations352.0ms (6.5%)

Memory
-34.7MiB live, 257.6MiB allocated; 66ms collecting garbage
Stop Event
fuel
Compiler

Compiled 343 to 92 computations (73.2% saved)

preprocess68.0ms (1.2%)

Memory
1.9MiB live, 143.2MiB allocated; 17ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 768 to 248 computations (67.7% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...