rsin A (should all be same)

Time bar (total: 5.9s)

start0.0ms (0%)

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

analyze253.0ms (4.3%)

Memory
-23.9MiB live, 252.9MiB allocated; 40ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (23.1%)

Memory
77.4MiB live, 1 139.7MiB allocated; 238ms collecting garbage
Samples
909.0ms5 929×1valid
134.0ms2 327×0valid
Precisions
Click to see histograms. Total time spent on operations: 800.0ms
ival-cos: 260.0ms (32.5% of total)
ival-sin: 194.0ms (24.2% of total)
adjust: 174.0ms (21.7% of total)
ival-mult!: 73.0ms (9.1% of total)
ival-div!: 60.0ms (7.5% of total)
ival-add!: 39.0ms (4.9% of total)
Bogosity

explain196.0ms (3.3%)

Memory
-47.1MiB live, 198.8MiB allocated; 164ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
77125(-4.4816397142536605e-14 4.166224860009135e-29 2.064532290998978e+167)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))sensitivity2021
Confusion
Predicted +Predicted -
+770
-12554
Precision
0.3811881188118812
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7700
-125153
Precision?
0.3793103448275862
Recall?
1.0
Freqs
test
numberfreq
054
1202
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
113.0ms394×1valid
7.0ms118×0valid
Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult!: 20.0ms (31.7% of total)
ival-cos: 17.0ms (27% of total)
ival-sin: 12.0ms (19% of total)
adjust: 7.0ms (11.1% of total)
ival-div!: 4.0ms (6.3% of total)
ival-add!: 3.0ms (4.8% of total)

preprocess212.0ms (3.6%)

Memory
17.8MiB live, 167.0MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

series16.0ms (0.3%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms 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
2.0ms
b
@-inf
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
r
@inf
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
a
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
r
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
r
@-inf
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)

rewrite526.0ms (8.9%)

Memory
-2.3MiB live, 140.6MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval13.0ms (0.2%)

Memory
-23.7MiB live, 18.3MiB allocated; 8ms collecting garbage
Compiler

Compiled 1 566 to 357 computations (77.2% saved)

prune16.0ms (0.3%)

Memory
32.2MiB live, 32.2MiB allocated; 0ms collecting garbage
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New562379
Fresh000
Picked101
Done000
Total572380
Accuracy
99.8%
Counts
80 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.8%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
34.0%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (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)))))
▶99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
36.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
36.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
33.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
▶62.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
60.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
57.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
▶50.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
55.2%
(/.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))))
47.7%
(/.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))))
48.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
46.7%
(/.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)))
47.0%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
46.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
73.9%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
55.9%
#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))))
▶57.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
47.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 872 to 586 computations (32.8% saved)

series56.0ms (1%)

Memory
-20.5MiB live, 72.2MiB allocated; 24ms collecting garbage
Counts
32 → 142
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (tan.f64 b))
(tan.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(cos.f64 #s(approx (+ a b) a))
#s(approx (+ a b) a)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(/.f64 b a)
#s(literal 1 binary64)
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
#s(literal -1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* r (sin 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 (* (+ (/ b a) 1) a) #s(hole binary64 b))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (+ a b)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ b a)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ (+ a b) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 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 (* (+ (/ b a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 1))
#s(approx (+ (/ b a) 1) #s(hole binary64 (+ 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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -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 (* 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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b r)))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #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 (/ 1 (pow (sin b) -1)) #s(hole binary64 b))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#s(approx (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 (* (+ (/ b a) 1) a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (sin b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 (sin b))))
#s(approx (/ (* 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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
Calls

9 calls:

TimeVariablePointExpression
17.0ms
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 b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) (pow (sin b) -1) -1 (cos (+ a b)) (+ a b))
9.0ms
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 b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) (pow (sin b) -1) -1 (cos (+ a b)) (+ a b))
6.0ms
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 b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) (pow (sin b) -1) -1 (cos (+ a b)) (+ a b))
5.0ms
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 b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) (pow (sin b) -1) -1 (cos (+ a b)) (+ a b))
4.0ms
r
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) (pow (sin b) -1) -1 (cos (+ a b)) (+ a b))

rewrite174.0ms (3%)

Memory
44.5MiB live, 172.2MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05313565
05723150
129283043
080352904
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
174 → 379
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (tan.f64 b))
(tan.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(cos.f64 #s(approx (+ a b) a))
#s(approx (+ a b) a)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(/.f64 b a)
#s(literal 1 binary64)
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
#s(literal -1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 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)) #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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* r (sin 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 (* (+ (/ b a) 1) a) #s(hole binary64 b))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (+ a b)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ b a)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ (+ a b) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 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 (* (+ (/ b a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 1))
#s(approx (+ (/ b a) 1) #s(hole binary64 (+ 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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -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 (* 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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b r)))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #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 (/ 1 (pow (sin b) -1)) #s(hole binary64 b))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#s(approx (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 (* (+ (/ b a) 1) a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (sin b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 (sin b))))
#s(approx (/ (* 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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
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 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
r
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(-.f64 (*.f64 (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 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) a (neg.f64 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 b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (-.f64 a (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b a)) (cos.f64 (-.f64 (neg.f64 b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 a))) (cos.f64 (-.f64 b (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))
(pow.f64 (cos.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64)))
(fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.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 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(exp.f64 (*.f64 (log.f64 (cos.f64 b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(pow.f64 (cos.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))
(fma.f64 (sin.f64 a) (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)
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 1 binary64)))
(+.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 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)))
(pow.f64 (sin.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64)))
(sin.f64 a)
(exp.f64 (*.f64 (log.f64 (sin.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 (tan.f64 b) r))
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 b))))
(/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 b (PI.f64)))
(tan.f64 b)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 #s(approx (+ a b) a)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(fma.f64 (sin.f64 #s(approx (+ a b) a)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (+ a b) a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (+ a b) a))))
(cos.f64 (neg.f64 #s(approx (+ a b) a)))
(cos.f64 #s(approx (+ a b) a))
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) a)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 #s(approx (+ a b) a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (+ a b) a)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(fma.f64 (sin.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))))
(cos.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(*.f64 a (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 b a) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (/.f64 b a)))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) a))
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (/.f64 b a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 b a)))))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 2 binary64) (*.f64 (neg.f64 a) #s(literal 2 binary64))) (*.f64 (neg.f64 a) #s(literal 2 binary64)))
(/.f64 (fma.f64 b #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 b a))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 b a) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(+.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 b a)))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 b a)))))
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal -1 binary64)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 b a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 (*.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) #s(literal 2 binary64)))
(/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
#s(literal 1 binary64)
(*.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 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
#s(literal -1 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(-.f64 (*.f64 (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 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(/.f64 (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 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)
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (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 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 (tan.f64 b) r)))
#s(approx (cos (+ a b)) (cos.f64 b))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (+ a b)) (fma.f64 (-.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 (* (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 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (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 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 (tan.f64 b) r)))
#s(approx (cos (+ a b)) (cos.f64 b))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (+ a b)) (fma.f64 (-.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 (* (+ (/ b a) 1) a) b)
#s(approx (* (+ (/ b a) 1) a) (+.f64 a b))
#s(approx (+ (/ b a) 1) (/.f64 b a))
#s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a))
#s(approx (/ b a) (/.f64 b a))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (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 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 (tan.f64 b) r)))
#s(approx (cos (+ 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 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 (* (+ (/ b a) 1) a) a)
#s(approx (* (+ (/ b a) 1) a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (/ b a) 1) #s(literal 1 binary64))
#s(approx (+ (/ b a) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (* (+ (/ b a) 1) a) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (*.f64 b r))
#s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (/ 1 (pow (sin b) -1))) (*.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 (/ 1 (pow (sin b) -1))) (*.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 (/ 1 (pow (sin b) -1)) b)
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (cos (+ a b)) (cos.f64 a))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/720 binary64)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) #s(literal 1 binary64))
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 b)) (cos.f64 a))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (*.f64 b r))
#s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (/ 1 (pow (sin b) -1))) (*.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 (/ 1 (pow (sin b) -1))) (*.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 (/ 1 (pow (sin b) -1)) b)
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (pow.f64 b #s(literal -1 binary64)))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (sin b) -1)) (sin.f64 b))
#s(approx (cos b) (cos.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 (* (+ (/ b a) 1) a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ (/ b a) 1) (fma.f64 (pow.f64 a #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ 1 (pow (sin b) -1)) (sin.f64 b))
#s(approx (pow (sin b) -1) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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))))
#s(approx (* (+ (/ b a) 1) a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))

eval87.0ms (1.5%)

Memory
-53.6MiB live, 64.6MiB allocated; 24ms collecting garbage
Compiler

Compiled 9 447 to 1 602 computations (83% saved)

prune85.0ms (1.4%)

Memory
1.8MiB live, 93.1MiB allocated; 8ms collecting garbage
Pruning

63 alts after pruning (60 fresh and 3 done)

PrunedKeptTotal
New37350423
Fresh81018
Picked235
Done000
Total38363446
Accuracy
99.9%
Counts
446 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
50.7%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 #s(approx (+ a b) a)))
44.5%
(/.f64 (*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
28.2%
(/.f64 (*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
74.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
35.7%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
73.8%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 (+.f64 a b)))
47.2%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
47.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
34.0%
(/.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 (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))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
73.9%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
99.3%
(/.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)))))
99.2%
(/.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))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))
✓99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
57.8%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.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)))))
▶57.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
58.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
63.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
49.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
51.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
58.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) b) (sin.f64 a))))
55.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
55.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
55.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
48.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
47.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
47.9%
(/.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 (sin.f64 b) (sin.f64 a))))
59.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶51.8%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
36.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
36.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
43.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
60.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
46.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
▶57.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
✓50.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
55.2%
(/.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))))
48.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
47.3%
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) a)))
47.0%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
46.5%
(/.f64 #s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) a)))
46.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
50.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
55.9%
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 (tan.f64 b) r)))
47.4%
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
30.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
31.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
31.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
✓57.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
30.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
30.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
▶31.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
30.8%
#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 2 777 to 1 990 computations (28.3% saved)

series39.0ms (0.7%)

Memory
36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
Counts
36 → 162
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
(*.f64 r #s(approx (tan b) b))
#s(approx (tan b) b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b)))
#s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))
#s(approx (* (+ (/ b a) 1) a) b)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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))))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (sin.f64 b) #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 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) 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)
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 a a))
#s(literal 1/120 binary64)
(*.f64 a a)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
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 b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 b))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (+ 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 (* (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 (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 a))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow a 2)))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))
#s(approx (- (* 1/120 (* a a)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* a a)) 1/6) #s(hole binary64 (- (* 1/120 (pow a 2)) 1/6)))
#s(approx (* 1/120 (* a a)) #s(hole binary64 (* 1/120 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* 1/120 (pow a 5))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* (pow a 5) (- 1/120 (* 1/6 (/ 1 (pow a 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* (pow a 5) (- (+ 1/120 (/ 1 (pow a 4))) (* 1/6 (/ 1 (pow a 2)))))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* 1/120 (pow a 4))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* (pow a 4) (- 1/120 (* 1/6 (/ 1 (pow a 2)))))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* (pow a 4) (- (+ 1/120 (/ 1 (pow a 4))) (* 1/6 (/ 1 (pow a 2)))))))
#s(approx (- (* 1/120 (* a a)) 1/6) #s(hole binary64 (* 1/120 (pow a 2))))
#s(approx (- (* 1/120 (* a a)) 1/6) #s(hole binary64 (* (pow a 2) (- 1/120 (* 1/6 (/ 1 (pow a 2)))))))
#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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1 (* (pow a 5) (- (* 1/6 (/ 1 (pow a 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1 (* (pow a 5) (- (* 1/6 (/ 1 (pow a 2))) (+ 1/120 (/ 1 (pow a 4))))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (- (* (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 (* (+ (/ b a) 1) a) #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)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (/ (* 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)) (/ (* 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 a) (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) (- (* 1/120 (* a a)) 1/6) (* 1/120 (* a a)) 1/120 (* a a) 1/6 1)
5.0ms
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))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (/ (* 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)) (/ (* 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 a) (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) (- (* 1/120 (* a a)) 1/6) (* 1/120 (* a a)) 1/120 (* a a) 1/6 1)
5.0ms
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))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (/ (* 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)) (/ (* 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 a) (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) (- (* 1/120 (* a a)) 1/6) (* 1/120 (* a a)) 1/120 (* a a) 1/6 1)
4.0ms
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))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (/ (* 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)) (/ (* 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 a) (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) (- (* 1/120 (* a a)) 1/6) (* 1/120 (* a a)) 1/120 (* a a) 1/6 1)
4.0ms
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))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (/ (* 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)) (/ (* 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 a) (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) (- (* 1/120 (* a a)) 1/6) (* 1/120 (* a a)) 1/120 (* a a) 1/6 1)

rewrite200.0ms (3.4%)

Memory
-21.1MiB live, 261.9MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06274303
06773798
135533753
083213604
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
198 → 371
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
(*.f64 r #s(approx (tan b) b))
#s(approx (tan b) b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b)))
#s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))
#s(approx (* (+ (/ b a) 1) a) b)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #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))))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (sin.f64 b) #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 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) 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)
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 a a))
#s(literal 1/120 binary64)
(*.f64 a a)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#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 b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 b))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (+ 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 (* (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 (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 a))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow a 2)))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))
#s(approx (- (* 1/120 (* a a)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* a a)) 1/6) #s(hole binary64 (- (* 1/120 (pow a 2)) 1/6)))
#s(approx (* 1/120 (* a a)) #s(hole binary64 (* 1/120 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* 1/120 (pow a 5))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* (pow a 5) (- 1/120 (* 1/6 (/ 1 (pow a 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* (pow a 5) (- (+ 1/120 (/ 1 (pow a 4))) (* 1/6 (/ 1 (pow a 2)))))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* 1/120 (pow a 4))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* (pow a 4) (- 1/120 (* 1/6 (/ 1 (pow a 2)))))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* (pow a 4) (- (+ 1/120 (/ 1 (pow a 4))) (* 1/6 (/ 1 (pow a 2)))))))
#s(approx (- (* 1/120 (* a a)) 1/6) #s(hole binary64 (* 1/120 (pow a 2))))
#s(approx (- (* 1/120 (* a a)) 1/6) #s(hole binary64 (* (pow a 2) (- 1/120 (* 1/6 (/ 1 (pow a 2)))))))
#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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1 (* (pow a 5) (- (* 1/6 (/ 1 (pow a 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1 (* (pow a 5) (- (* 1/6 (/ 1 (pow a 2))) (+ 1/120 (/ 1 (pow a 4))))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (- (* (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 (* (+ (/ b a) 1) a) #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)))))
#s(approx (* (+ (/ b a) 1) a) #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
(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 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1 binary64) b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
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(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (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 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) a (neg.f64 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 b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #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 b (neg.f64 a))) (cos.f64 (-.f64 b (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(*.f64 #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) (sin.f64 b))
(*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)
(*.f64 a (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a)))
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a)))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64))
(fma.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 a a)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/120 binary64) a) a)
(*.f64 (*.f64 a a) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 a a))
#s(literal 1/120 binary64)
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))
#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 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (* (+ (/ b a) 1) a) b)
#s(approx (* (+ (/ b a) 1) a) (+.f64 a b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal -1/2 binary64) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) (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 (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) a)
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (- (* 1/120 (* a a)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/120 (* a a)) 1/6) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* 1/120 (* a a)) (*.f64 (*.f64 a a) #s(literal 1/120 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (* (+ (/ b a) 1) a) a)
#s(approx (* (+ (/ b a) 1) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (*.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 a #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (*.f64 (-.f64 (+.f64 (pow.f64 a #s(literal -4 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 a #s(literal 5 binary64))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
#s(approx (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 a #s(literal -4 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (* 1/120 (* a a)) 1/6) (*.f64 (*.f64 a a) #s(literal 1/120 binary64)))
#s(approx (- (* 1/120 (* a a)) 1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 a a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (* (+ (/ b a) 1) a) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 a #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 1/120 (* a a)) 1/6) (* a a)) 1) a) (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 a #s(literal -4 binary64))) (pow.f64 a #s(literal 5 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (cos b) #s(literal 1 binary64))
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) (sin.f64 a) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/120 binary64)) (sin.f64 a) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/5040 binary64)) (sin.f64 a) (*.f64 #s(literal -1/120 binary64) (sin.f64 a))) (*.f64 b b) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (neg (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (tan b)) (*.f64 b r))
#s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (tan b) b)
#s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal -1/2 binary64) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (sin.f64 a))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) (sin.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) (sin.f64 a))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (sin b) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (tan b) (tan.f64 b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* (+ (/ b a) 1) a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (* (+ (/ b a) 1) a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval73.0ms (1.2%)

Memory
22.8MiB live, 67.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 15 362 to 2 074 computations (86.5% saved)

prune106.0ms (1.8%)

Memory
2.1MiB live, 180.4MiB allocated; 39ms collecting garbage
Pruning

72 alts after pruning (64 fresh and 8 done)

PrunedKeptTotal
New49132523
Fresh233255
Picked055
Done033
Total51472586
Accuracy
99.9%
Counts
586 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
50.7%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 #s(approx (+ a b) a)))
44.5%
(/.f64 (*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
28.2%
(/.f64 (*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
74.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
35.7%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
73.8%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 (+.f64 a b)))
47.2%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
47.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
34.0%
(/.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)))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.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 (neg.f64 (sin.f64 b)) (sin.f64 a))))
▶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))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (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))))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.0%
(/.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))))
75.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (+.f64 b (PI.f64))) (sin.f64 a))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
57.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) #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)))))
49.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
51.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 a))))
58.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.f64 a))))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (sin.f64 a))))
55.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #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))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
48.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
47.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
47.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
73.9%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
57.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
✓99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
57.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (fma.f64 a #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a)))))))
✓57.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
55.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
52.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) #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)))))
52.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) #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)))))
53.1%
(/.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) #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)))))
55.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) #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)))))
35.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
35.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
▶59.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
✓51.8%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
34.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
36.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
35.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶35.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶43.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
60.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
✓57.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
✓50.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
47.3%
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) a)))
47.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
31.0%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
46.5%
(/.f64 #s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) a)))
30.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
51.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
50.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
55.9%
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 (tan.f64 b) r)))
47.4%
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
30.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
31.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
31.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
✓57.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
30.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
30.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
✓31.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
▶30.8%
#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 3 352 to 2 361 computations (29.6% saved)

series388.0ms (6.6%)

Memory
-79.8MiB live, 197.0MiB allocated; 637ms collecting garbage
Counts
44 → 238
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)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 #s(approx (+ a b) a))
#s(approx (+ a b) a)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.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))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a)))
#s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a)
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 b a) #s(literal 3 binary64))
(/.f64 b a)
#s(literal 3 binary64)
#s(literal 1 binary64)
(+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
Outputs
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* r (+ 1 (* 1/3 (pow b 2))))))
#s(approx (* (* b b) r) #s(hole binary64 (* (pow b 2) r)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* 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 (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ 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 (* (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 (+ 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 (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 b))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (+ a b)))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (/ b a)))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (/ (+ a b) a)))
#s(approx (+ (pow (/ b a) 3) 1) #s(hole binary64 (/ (pow b 3) (pow a 3))))
#s(approx (+ (pow (/ b a) 3) 1) #s(hole binary64 (/ (+ (pow a 3) (pow b 3)) (pow a 3))))
#s(approx (pow (/ b a) 3) #s(hole binary64 (/ (pow b 3) (pow a 3))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (/ (+ (* -1 (* a b)) (pow b 2)) (pow a 2))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (/ (+ (* a (- a b)) (pow b 2)) (pow a 2))))
#s(approx (pow (/ b a) 2) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (- 1 (/ b a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (- 1 (/ b a)) #s(hole binary64 (/ (- a b) a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 a)))
#s(approx (neg (+ a b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 a))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 1))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a)))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (- (+ 1 (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (/ b a) 3) 1) #s(hole binary64 1))
#s(approx (+ (pow (/ b a) 3) 1) #s(hole binary64 (+ 1 (/ (pow b 3) (pow a 3)))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 1))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))))
#s(approx (- 1 (/ b a)) #s(hole binary64 1))
#s(approx (- 1 (/ b a)) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a)) 1)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (+ (* -1 (pow b 2)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a) (pow b 2))) a))) a)) 1)))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a)))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a)))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) 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 (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (/ (* r (sin b)) (- (* (cos 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 (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 (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (+ 1 (* b (- (/ b (pow a 2)) (/ 1 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 (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (* -1 (/ a b))))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2))))))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (* b (+ (* -1 (/ (+ a (* -1 a)) (pow b 2))) (+ (/ 1 a) (/ 1 b))))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (* b (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (/ 1 a) (/ 1 b))) (+ (* -1 (/ a (pow b 2))) (/ a (pow b 2)))))))
#s(approx (+ (pow (/ b a) 3) 1) #s(hole binary64 (* (pow b 3) (+ (/ 1 (pow a 3)) (/ 1 (pow b 3))))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (* a b))))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (* (pow b 2) (- (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) (/ 1 (* a b))))))
#s(approx (- 1 (/ b a)) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1)))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ 1 (+ (* -1 (/ a b)) (/ a b))) b)) (/ 1 a))))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* a (+ a (* -1 a))) b)) (+ a (* -1 a))) b))) b)) (/ 1 a))))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (- (/ 1 a) (/ 1 b)) b)) (/ 1 (pow a 2))))))
#s(approx (- 1 (/ b a)) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))
Calls

9 calls:

TimeVariablePointExpression
318.0ms
r
@0
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (+ (pow (/ b a) 3) 1) (pow (/ b a) 3) (/ b a) 3 1 (+ (pow (/ b a) 2) (- 1 (/ b a))) (pow (/ b a) 2) (- 1 (/ b a)))
12.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (+ (pow (/ b a) 3) 1) (pow (/ b a) 3) (/ b a) 3 1 (+ (pow (/ b a) 2) (- 1 (/ b a))) (pow (/ b a) 2) (- 1 (/ b a)))
11.0ms
b
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (+ (pow (/ b a) 3) 1) (pow (/ b a) 3) (/ b a) 3 1 (+ (pow (/ b a) 2) (- 1 (/ b a))) (pow (/ b a) 2) (- 1 (/ b a)))
10.0ms
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)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (+ (pow (/ b a) 3) 1) (pow (/ b a) 3) (/ b a) 3 1 (+ (pow (/ b a) 2) (- 1 (/ b a))) (pow (/ b a) 2) (- 1 (/ b a)))
8.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (+ (pow (/ b a) 3) 1) (pow (/ b a) 3) (/ b a) 3 1 (+ (pow (/ b a) 2) (- 1 (/ b a))) (pow (/ b a) 2) (- 1 (/ b a)))

rewrite218.0ms (3.7%)

Memory
15.3MiB live, 250.4MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09897029
010506208
157726206
085006018
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
282 → 442
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)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 #s(approx (+ a b) a))
#s(approx (+ a b) a)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.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))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a)))
#s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a)
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 b a) #s(literal 3 binary64))
(/.f64 b a)
#s(literal 3 binary64)
#s(literal 1 binary64)
(+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* r (+ 1 (* 1/3 (pow b 2))))))
#s(approx (* (* b b) r) #s(hole binary64 (* (pow b 2) r)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* 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 (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ 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 (* (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 (+ 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 (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 b))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (+ a b)))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (/ b a)))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (/ (+ a b) a)))
#s(approx (+ (pow (/ b a) 3) 1) #s(hole binary64 (/ (pow b 3) (pow a 3))))
#s(approx (+ (pow (/ b a) 3) 1) #s(hole binary64 (/ (+ (pow a 3) (pow b 3)) (pow a 3))))
#s(approx (pow (/ b a) 3) #s(hole binary64 (/ (pow b 3) (pow a 3))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (/ (+ (* -1 (* a b)) (pow b 2)) (pow a 2))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (/ (+ (* a (- a b)) (pow b 2)) (pow a 2))))
#s(approx (pow (/ b a) 2) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (- 1 (/ b a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (- 1 (/ b a)) #s(hole binary64 (/ (- a b) a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 a)))
#s(approx (neg (+ a b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 a))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* a (- (+ 1 (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 1))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a)))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (- (+ 1 (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (/ b a) 3) 1) #s(hole binary64 1))
#s(approx (+ (pow (/ b a) 3) 1) #s(hole binary64 (+ 1 (/ (pow b 3) (pow a 3)))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 1))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))))
#s(approx (- 1 (/ b a)) #s(hole binary64 1))
#s(approx (- 1 (/ b a)) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a)) 1)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (+ (* -1 (pow b 2)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a) (pow b 2))) a))) a)) 1)))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a)))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a)))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) 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 (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (/ (* r (sin b)) (- (* (cos 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 (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 (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (+ 1 (* b (- (/ b (pow a 2)) (/ 1 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 (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (* -1 (/ a b))))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* b (- (+ 1 (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2))))))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (* b (+ (* -1 (/ (+ a (* -1 a)) (pow b 2))) (+ (/ 1 a) (/ 1 b))))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (* b (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (/ 1 a) (/ 1 b))) (+ (* -1 (/ a (pow b 2))) (/ a (pow b 2)))))))
#s(approx (+ (pow (/ b a) 3) 1) #s(hole binary64 (* (pow b 3) (+ (/ 1 (pow a 3)) (/ 1 (pow b 3))))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (* a b))))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (* (pow b 2) (- (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) (/ 1 (* a b))))))
#s(approx (- 1 (/ b a)) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1)))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1)))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ 1 (+ (* -1 (/ a b)) (/ a b))) b)) (/ 1 a))))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* a (+ a (* -1 a))) b)) (+ a (* -1 a))) b))) b)) (/ 1 a))))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (- (/ 1 a) (/ 1 b)) b)) (/ 1 (pow a 2))))))
#s(approx (- 1 (/ b a)) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 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 (*.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 (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))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (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 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 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 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(sin.f64 (+.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.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 (neg.f64 b)))))
(cos.f64 (neg.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 (neg.f64 b) a))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(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) #s(literal 0 binary64)) (*.f64 (sin.f64 b) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (PI.f64))) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (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 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.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 b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #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 b (neg.f64 a))) (cos.f64 (-.f64 b (neg.f64 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) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)
(*.f64 b (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r))
(fma.f64 b r (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))
(fma.f64 b r (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))
(fma.f64 r b (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))
(+.f64 (*.f64 b r) (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) (-.f64 r (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r))
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (*.f64 b b) r) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r))))
(fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)
(fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r)
(-.f64 r (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) r)))
(+.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)
(+.f64 r (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
(*.f64 (*.f64 b b) r)
(*.f64 b (*.f64 b r))
(*.f64 r (*.f64 b b))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ a b) a))) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (+ a b) a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) a)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 #s(approx (+ a b) a)))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 #s(approx (+ a b) a))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (+ a b) a))))
(cos.f64 (neg.f64 #s(approx (+ a b) a)))
(cos.f64 #s(approx (+ a b) a))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) a))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 #s(approx (+ a b) a)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 #s(approx (+ a b) a))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (+ a b) a)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (+ a b) a)) (neg.f64 #s(approx (+ a b) a))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (neg.f64 #s(approx (+ a b) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 #s(approx (+ a b) a)) (neg.f64 #s(approx (+ a b) a)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 #s(approx (+ a b) a)))
(+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 #s(approx (+ a b) a))
#s(approx (+ a b) a)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (-.f64 (*.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (+.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (* (cos a) (cos b)) (cos.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a)))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))))
(fma.f64 (sin.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a)))))))
(cos.f64 (neg.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))))
(cos.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a)))))
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))) #s(literal 1 binary64)))
#s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))) a)
(*.f64 a (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a)))
(+.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 9 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (/.f64 b a) #s(literal 3/2 binary64)) (pow.f64 (/.f64 b a) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 b a) #s(literal 3/2 binary64)) (pow.f64 (/.f64 b a) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 b a))
(*.f64 (/.f64 b a) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(pow.f64 (/.f64 b a) #s(literal 3 binary64))
(/.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 3 binary64))))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
#s(literal 3 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))))
(fma.f64 (pow.f64 (/.f64 b a) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (pow.f64 (/.f64 b a) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (/.f64 b a) (/.f64 b a))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 b a)))))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
#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) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.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 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (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 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (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 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#s(approx (sin a) a)
#s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.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 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.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 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (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 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b))) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (*.f64 (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))))) a (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal -1/2 binary64))) a (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))
#s(approx (neg (+ a b)) (neg.f64 b))
#s(approx (neg (+ a b)) (-.f64 (neg.f64 a) b))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a 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 (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 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (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 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (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 #s(literal -1/2 binary64) (cos.f64 b))) 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 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (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 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 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) b)
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (+.f64 a b))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (/.f64 b a))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (/.f64 (+.f64 a b) a))
#s(approx (+ (pow (/ b a) 3) 1) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))
#s(approx (+ (pow (/ b a) 3) 1) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (pow (/ b a) 3) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))
#s(approx (/ b a) (/.f64 b a))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (/.f64 (*.f64 b b) (*.f64 a a)))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (/.f64 (fma.f64 (neg.f64 a) b (*.f64 b b)) (*.f64 a a)))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (/.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (*.f64 a a)))
#s(approx (pow (/ b a) 2) (/.f64 (*.f64 b b) (*.f64 a a)))
#s(approx (- 1 (/ b a)) (/.f64 (neg.f64 b) a))
#s(approx (- 1 (/ b a)) (/.f64 (-.f64 a 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 a) (cos.f64 b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 b a)) a))
#s(approx (neg (+ a b)) (neg.f64 a))
#s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) 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 a) (cos.f64 b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) a)
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (neg.f64 b) a)) a))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) a))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) #s(literal 1 binary64))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (-.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)))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))))
#s(approx (+ (pow (/ b a) 3) 1) #s(literal 1 binary64))
#s(approx (+ (pow (/ b a) 3) 1) (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) #s(literal 1 binary64))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a))))
#s(approx (- 1 (/ b a)) #s(literal 1 binary64))
#s(approx (- 1 (/ b a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (neg (+ a b)) (*.f64 (neg.f64 a) (+.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64) b) a)) #s(literal 1 binary64))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal -1 binary64) (fma.f64 b b (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) a))) a) #s(literal -1 binary64) b) a)) #s(literal 1 binary64))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) a)) (*.f64 #s(literal 0 binary64) (*.f64 b b))) a)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b b) a) b)) a) #s(literal -1 binary64) #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 (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 #s(literal -1/2 binary64) b) (cos.f64 a) (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 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) #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 (/ (* 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 (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 b (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) b (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))
#s(approx (neg (+ a b)) (-.f64 (neg.f64 b) a))
#s(approx (/ (* r (sin b)) (+ (* (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 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (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 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 (+ (pow (/ b a) 2) (- 1 (/ b a))) (fma.f64 (-.f64 (/.f64 b (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) b #s(literal 1 binary64)))
#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 (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) b))
#s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 b b)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (neg.f64 a) b)) b))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (neg.f64 a) b))) b))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (*.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) b))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b b))) #s(literal -1 binary64) (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))) b))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b b))))) b))
#s(approx (+ (pow (/ b a) 3) 1) (*.f64 (+.f64 (pow.f64 b #s(literal -3 binary64)) (pow.f64 a #s(literal -3 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (*.f64 (-.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (pow.f64 (*.f64 a b) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (- 1 (/ b a)) (*.f64 (-.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) 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 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) r (neg.f64 (/.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (neg (+ a b)) (*.f64 (neg.f64 b) (+.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b) (*.f64 #s(literal 1 binary64) a)) b)) #s(literal 1 binary64))))
#s(approx (* (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) a) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) a) b)) (*.f64 #s(literal 0 binary64) (*.f64 a a))) b) a)) b)) #s(literal 1 binary64))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a b) #s(literal 1 binary64)) b)) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) a) b)) (*.f64 #s(literal 0 binary64) a)) b) #s(literal -1 binary64) #s(literal 1 binary64)) b)) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) b) #s(literal -1 binary64) (pow.f64 a #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (- 1 (/ b a)) (*.f64 (neg.f64 b) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))

eval98.0ms (1.7%)

Memory
-31.6MiB live, 106.5MiB allocated; 25ms collecting garbage
Compiler

Compiled 15 724 to 2 305 computations (85.3% saved)

prune305.0ms (5.2%)

Memory
4.1MiB live, 241.8MiB allocated; 29ms collecting garbage
Pruning

86 alts after pruning (76 fresh and 10 done)

PrunedKeptTotal
New48637523
Fresh203959
Picked235
Done178
Total50986595
Accuracy
99.9%
Counts
595 → 86
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
50.7%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 #s(approx (+ a b) a)))
44.5%
(/.f64 (*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
28.2%
(/.f64 (*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
74.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
43.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))))
35.7%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
73.8%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 (+.f64 a b)))
47.2%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
47.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
34.0%
(/.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)))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.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 (neg.f64 (sin.f64 b)) (sin.f64 a))))
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))))
75.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))) (*.f64 (cos.f64 a) (cos.f64 b))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
48.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) #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))))))
47.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) #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))))))
47.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))))
55.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #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))) (cos.f64 b))))
59.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
51.8%
(/.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))))
49.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 #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))) (*.f64 (cos.f64 a) (cos.f64 b))))
51.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
58.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 a) (cos.f64 b))))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #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)) (*.f64 (cos.f64 a) (cos.f64 b))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
55.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #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))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
57.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #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)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
73.9%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
57.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
✓99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
57.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (fma.f64 a #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a)))))))
✓57.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
52.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) #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)))))
52.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) #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)))))
53.1%
(/.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) #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)))))
35.0%
(/.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))))
35.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
35.7%
(/.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))))
35.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
✓59.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
55.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #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)))))
55.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
56.1%
(/.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))))
34.5%
(/.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))))
36.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
35.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
36.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))))
35.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))))
16.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
16.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
43.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
42.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b b) a) b)) a) #s(literal -1 binary64) #s(literal 1 binary64)))) a))))
42.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)))) a))))
9.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (/.f64 (*.f64 b b) (*.f64 a a)))) a))))
27.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 #s(approx (+ (pow (/ b a) 3) 1) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
50.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 #s(approx (+ (pow (/ b a) 3) 1) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
60.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
48.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a b) #s(literal 1 binary64)) b)) (pow.f64 a #s(literal -1 binary64))))) a))))
✓57.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
✓50.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
47.3%
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) a)))
47.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
31.0%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
30.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
31.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
51.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
59.3%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
50.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
55.9%
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 (tan.f64 b) r)))
47.4%
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
32.2%
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
31.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
✓57.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
30.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
30.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
✓31.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
✓30.8%
#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)))
23.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
13.8%
#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)))
13.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
Compiler

Compiled 5 823 to 2 292 computations (60.6% saved)

regimes211.0ms (3.6%)

Memory
21.4MiB live, 320.3MiB allocated; 54ms collecting garbage
Counts
143 → 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))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 #s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) 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 b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 (tan.f64 b) r)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.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 (/.f64 (*.f64 r #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 #s(approx (+ a b) 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 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #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)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) #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)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 #s(approx (+ (pow (/ b a) 3) 1) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a b) #s(literal 1 binary64)) b)) (pow.f64 a #s(literal -1 binary64))))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (/.f64 (*.f64 b b) (*.f64 a a)))) a))))
(/.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) #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)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) #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)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b b) a) b)) a) #s(literal -1 binary64) #s(literal 1 binary64)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) #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)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.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))))
#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 (/ 1 (pow (sin b) -1)) 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 #s(approx (sin b) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a 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))))
(/.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 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.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 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (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) #s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (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) #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))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #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)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (fma.f64 a #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #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))) (*.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 (*.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))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) #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))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #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)) (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 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 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) (*.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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 #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))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 #s(approx (+ (pow (/ b a) 3) 1) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b 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 (*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) #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)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (-.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 (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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
(/.f64 (*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.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 (cos.f64 b) (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))))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.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 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
Calls

4 calls:

80.0ms
r
50.0ms
b
38.0ms
a
35.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes188.0ms (3.2%)

Memory
-21.2MiB live, 258.8MiB allocated; 28ms collecting garbage
Counts
123 → 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))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
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(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (fma.f64 a #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #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))) (*.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 (*.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))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) #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))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #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)) (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 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 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) (*.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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 #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))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 #s(approx (+ (pow (/ b a) 3) 1) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b 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))))
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:

62.0ms
b
55.0ms
a
31.0ms
r
31.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes205.0ms (3.5%)

Memory
27.6MiB live, 219.4MiB allocated; 20ms collecting garbage
Counts
122 → 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))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 #s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) 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 b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 (tan.f64 b) r)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.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 (/.f64 (*.f64 r #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 #s(approx (+ a b) 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 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #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)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) #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)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 #s(approx (+ (pow (/ b a) 3) 1) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (/ (+ (pow (/ b a) 3) 1) (+ (pow (/ b a) 2) (- 1 (/ b a)))) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a b) #s(literal 1 binary64)) b)) (pow.f64 a #s(literal -1 binary64))))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (/.f64 (*.f64 b b) (*.f64 a a)))) a))))
(/.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) #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)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) #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)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (pow (/ b a) 2) (- 1 (/ b a))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b b) a) b)) a) #s(literal -1 binary64) #s(literal 1 binary64)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) #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)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.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))))
#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 (/ 1 (pow (sin b) -1)) 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 #s(approx (sin b) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a 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))))
(/.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 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.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 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (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) #s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (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) #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))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #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)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (fma.f64 a #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a) a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #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))) (*.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 (*.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))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) #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))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #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)) (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 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 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) (*.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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 #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))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 #s(approx (+ (pow (/ b a) 3) 1) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b 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:

85.0ms
r
50.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
32.0ms
b
32.0ms
a
Results
AccuracySegmentsBranch
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.4%1r
99.4%1a
99.4%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes162.0ms (2.8%)

Memory
-35.9MiB live, 211.9MiB allocated; 35ms collecting garbage
Counts
121 → 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))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 #s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) #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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 #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))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 #s(approx (+ (pow (/ b a) 3) 1) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b 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 a b)))
Calls

4 calls:

55.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
37.0ms
b
34.0ms
a
30.0ms
r
Results
AccuracySegmentsBranch
74.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
74.0%1r
74.0%1a
74.0%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes57.0ms (1%)

Memory
14.2MiB live, 60.3MiB allocated; 4ms collecting garbage
Counts
30 → 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))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 #s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(*.f64 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:

32.0ms
r
8.0ms
a
8.0ms
b
8.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
73.9%1r
73.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
73.9%1b
73.9%1a
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes37.0ms (0.6%)

Memory
5.9MiB live, 53.2MiB allocated; 2ms collecting garbage
Counts
29 → 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))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 #s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
Calls

4 calls:

13.0ms
b
7.0ms
a
7.0ms
r
7.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
57.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
59.7%2r
73.5%3b
74.1%3a
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
24 → 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))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 #s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ 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 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
Calls

1 calls:

6.0ms
a
Results
AccuracySegmentsBranch
74.1%3a
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes38.0ms (0.6%)

Memory
-23.7MiB live, 23.5MiB allocated; 2ms 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))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) b))))
(/.f64 #s(approx (* r (/ 1 (pow (sin b) -1))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) r) b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
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

2 calls:

6.0ms
b
6.0ms
a
Results
AccuracySegmentsBranch
73.5%3b
72.5%3a
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes13.0ms (0.2%)

Memory
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Counts
10 → 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))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Calls

4 calls:

3.0ms
a
3.0ms
b
3.0ms
r
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
57.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
57.5%1r
57.5%1a
57.5%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes22.0ms (0.4%)

Memory
-31.7MiB live, 20.0MiB allocated; 5ms collecting garbage
Accuracy

Total -12.2b remaining (-27.7%)

Threshold costs -12.2b (-27.7%)

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

4 calls:

15.0ms
a
2.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
2.0ms
r
2.0ms
b
Results
AccuracySegmentsBranch
31.3%1r
31.3%1a
31.3%1b
31.3%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch62.0ms (1.1%)

Memory
33.4MiB live, 79.5MiB allocated; 4ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
2.3495756865771447e-11
0.6199340072428046
36.0ms
-423097337.65594774
-0.46394526939069985
Samples
38.0ms154×1valid
9.0ms150×0valid
Compiler

Compiled 487 to 432 computations (11.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div!: 16.0ms (41.5% of total)
ival-cos: 9.0ms (23.4% of total)
ival-sin: 8.0ms (20.8% of total)
adjust: 3.0ms (7.8% of total)
ival-mult!: 2.0ms (5.2% of total)
ival-add!: 1.0ms (2.6% of total)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.3495756865771447e-11
0.6199340072428046
1.0ms
-423097337.65594774
-0.46394526939069985
Compiler

Compiled 487 to 432 computations (11.3% saved)

bsearch61.0ms (1%)

Memory
-38.8MiB live, 54.6MiB allocated; 6ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
0.06260915456578135
439.6070501517332
29.0ms
-170829.28790946477
-2868.7894952336223
Samples
29.0ms122×1valid
20.0ms118×0valid
Compiler

Compiled 462 to 389 computations (15.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-cos: 19.0ms (45.4% of total)
ival-sin: 16.0ms (38.2% of total)
adjust: 2.0ms (4.8% of total)
ival-mult!: 2.0ms (4.8% of total)
ival-add!: 1.0ms (2.4% of total)
ival-div!: 1.0ms (2.4% of total)

simplify47.0ms (0.8%)

Memory
43.1MiB live, 43.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057213
184213
2111213
3142213
4170213
5230213
6685213
74912213
Stop Event
1×node limit
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 (*.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 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -2116691824864133/4503599627370496 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a))) (if (<=.f64 a #s(literal 3804640965202595/1152921504606846976 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 a #s(literal -2116691824864133/4503599627370496 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a)))) (if (<=.f64 a #s(literal 3804640965202595/1152921504606846976 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 -2900 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 1170935903116329/18014398509481984 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 (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 (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 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -2116691824864133/4503599627370496 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a))) (if (<=.f64 a #s(literal 3804640965202595/1152921504606846976 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 a #s(literal -2116691824864133/4503599627370496 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a)))) (if (<=.f64 a #s(literal 3804640965202595/1152921504606846976 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 -2116691824864133/4503599627370496 binary64)) (not (<=.f64 a #s(literal 3804640965202595/1152921504606846976 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 -2900 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 1170935903116329/18014398509481984 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 -2900 binary64)) (not (<=.f64 b #s(literal 1170935903116329/18014398509481984 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))

derivations278.0ms (4.7%)

Memory
-28.5MiB live, 245.1MiB allocated; 85ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 213 to 60 computations (71.8% saved)

preprocess76.0ms (1.3%)

Memory
5.3MiB live, 97.9MiB allocated; 10ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 508 to 184 computations (63.8% saved)

end0.0ms (0%)

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

Profiling

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