rsin B (should all be same)

Time bar (total: 5.3s)

start0.0ms (0%)

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

analyze336.0ms (6.4%)

Memory
-15.1MiB live, 333.7MiB allocated; 115ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (34.3%)

Memory
104.0MiB live, 2 148.7MiB allocated; 373ms collecting garbage
Samples
1.3s6 037×1valid
151.0ms2 219×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 308.0ms (29.1% of total)
ival-sin: 224.0ms (21.2% of total)
adjust: 195.0ms (18.4% of total)
ival-div: 127.0ms (12% of total)
ival-mult: 104.0ms (9.8% of total)
ival-add: 98.0ms (9.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain135.0ms (2.6%)

Memory
-6.8MiB live, 151.8MiB allocated; 18ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
56126(5.414724302838869e+149 1.6170592685691566e-241 -1.7786561183980543e+297)0-(cos.f64 (+.f64 a b))
00-0-(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-r
00-0-b
00-0-(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1821
Confusion
Predicted +Predicted -
+560
-12674
Precision
0.3076923076923077
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5600
-126173
Precision?
0.30601092896174864
Recall?
1.0
Freqs
test
numberfreq
074
1182
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
69.0ms354×1valid
11.0ms158×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-cos: 15.0ms (28.9% of total)
ival-sin: 11.0ms (21.2% of total)
adjust: 9.0ms (17.4% of total)
ival-mult: 6.0ms (11.6% of total)
ival-add: 5.0ms (9.6% of total)
ival-div: 5.0ms (9.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess210.0ms (4%)

Memory
-31.4MiB live, 106.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03897
110397
220697
342897
477097
5163097
6349197
7651797
089
0139
1249
2419
3659
4849
51089
62069
78019
852839
082689
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (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
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

series19.0ms (0.4%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Counts
8 → 48
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(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 #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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
b
@inf
((* r (/ (sin b) (cos (+ a b)))) r (/ (sin b) (cos (+ a b))) (sin b) b (cos (+ a b)) (+ a b) a)
3.0ms
a
@0
((* r (/ (sin b) (cos (+ a b)))) r (/ (sin b) (cos (+ a b))) (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
b
@0
((* r (/ (sin b) (cos (+ a b)))) r (/ (sin b) (cos (+ a b))) (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
r
@0
((* r (/ (sin b) (cos (+ a b)))) r (/ (sin b) (cos (+ a b))) (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
r
@inf
((* r (/ (sin b) (cos (+ a b)))) r (/ (sin b) (cos (+ a b))) (sin b) b (cos (+ a b)) (+ a b) a)

rewrite251.0ms (4.8%)

Memory
-13.0MiB live, 216.7MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02831294
02901148
116521098
088211057
Stop Event
iter limit
node limit
iter limit
Counts
56 → 82
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(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 #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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (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)))
r
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (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 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 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 (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.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 (pow.f64 (tan.f64 b) #s(literal 2 binary64))))) 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 (pow.f64 (tan.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (/.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 (pow.f64 (tan.f64 b) #s(literal 2 binary64))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (pow.f64 (tan.f64 b) #s(literal 2 binary64)) (tan.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 b) #s(literal 2 binary64)))) a (tan.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) a (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 b) #s(literal 2 binary64)))) a (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 (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#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 (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (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 (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b) (neg.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (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 (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (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))))

eval11.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 758 to 422 computations (76% saved)

prune18.0ms (0.3%)

Memory
-12.3MiB live, 33.3MiB allocated; 6ms collecting garbage
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New642084
Fresh000
Picked101
Done000
Total652085
Accuracy
99.8%
Counts
85 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
81.3%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))))
81.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
42.7%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
42.4%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
68.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
63.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
58.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
55.4%
(*.f64 r (/.f64 (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)))))
56.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
54.6%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
55.2%
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
60.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (pow.f64 (tan.f64 b) #s(literal 2 binary64)) (tan.f64 b))))
55.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
54.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b)))
63.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
61.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.f64 r (tan.f64 b))))
55.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 714 to 508 computations (28.9% saved)

series84.0ms (1.6%)

Memory
24.8MiB live, 171.7MiB allocated; 21ms collecting garbage
Counts
37 → 191
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(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)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))
(tan.f64 b)
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 b b)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.f64 r (tan.f64 b))))
(fma.f64 a (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.f64 r (tan.f64 b)))
(*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64)))
(pow.f64 (tan.f64 b) #s(literal 2 binary64))
(*.f64 r (tan.f64 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 #s(hole binary64 r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* r (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (* r (pow (tan b) 2)) #s(hole binary64 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (sin b) (cos b))) (* -1 (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (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 (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (- (* (cos 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (* a (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (+ b (* 1/2 (PI))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 a))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ b a))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* a (+ (/ (* r (sin b)) (* a (cos b))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (* r (sin b)) (* a (cos b)))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (* r (/ (sin b) (- (* (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 (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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 (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ b (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b r)))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* a (* b r))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* 1/3 (* b r)) (* a r)))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* a r) (* b (+ (* 1/3 r) (* 2/3 (* a (* b r)))))))))))
#s(approx (* r (pow (tan b) 2)) #s(hole binary64 (* (pow b 2) r)))
#s(approx (* r (pow (tan b) 2)) #s(hole binary64 (* (pow b 2) (+ r (* 2/3 (* (pow b 2) r))))))
#s(approx (* r (pow (tan b) 2)) #s(hole binary64 (* (pow b 2) (+ r (* (pow b 2) (+ (* 17/45 (* (pow b 2) r)) (* 2/3 r)))))))
#s(approx (* r (pow (tan b) 2)) #s(hole binary64 (* (pow b 2) (+ r (* (pow b 2) (+ (* 2/3 r) (* (pow b 2) (+ (* 62/315 (* (pow b 2) r)) (* 17/45 r)))))))))
#s(approx (pow (tan b) 2) #s(hole binary64 (pow b 2)))
#s(approx (pow (tan b) 2) #s(hole binary64 (* (pow b 2) (+ 1 (* 2/3 (pow b 2))))))
#s(approx (pow (tan b) 2) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (+ 2/3 (* 17/45 (pow b 2))))))))
#s(approx (pow (tan b) 2) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (+ 2/3 (* (pow b 2) (+ 17/45 (* 62/315 (pow b 2))))))))))
#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 (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 (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* -1/6 (pow b 2))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 b))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (pow (tan b) 2) #s(hole binary64 (/ (pow (sin b) 2) (pow (cos b) 2))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
19.0ms
b
@inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (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)))) (/ (sin b) (cos (+ a b))) (tan b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (cos (+ a b)) (+ a b) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* r (/ (sin b) (cos (+ a b)))) (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (* r (pow (tan b) 2)) (pow (tan b) 2) (* r (tan b)))
13.0ms
r
@inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (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)))) (/ (sin b) (cos (+ a b))) (tan b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (cos (+ a b)) (+ a b) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* r (/ (sin b) (cos (+ a b)))) (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (* r (pow (tan b) 2)) (pow (tan b) 2) (* r (tan b)))
9.0ms
a
@-inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (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)))) (/ (sin b) (cos (+ a b))) (tan b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (cos (+ a b)) (+ a b) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* r (/ (sin b) (cos (+ a b)))) (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (* r (pow (tan b) 2)) (pow (tan b) 2) (* r (tan b)))
7.0ms
b
@-inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (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)))) (/ (sin b) (cos (+ a b))) (tan b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (cos (+ a b)) (+ a b) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* r (/ (sin b) (cos (+ a b)))) (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (* r (pow (tan b) 2)) (pow (tan b) 2) (* r (tan b)))
7.0ms
r
@0
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (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)))) (/ (sin b) (cos (+ a b))) (tan b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (cos (+ a b)) (+ a b) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* r (/ (sin b) (cos (+ a b)))) (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (* r (pow (tan b) 2)) (pow (tan b) 2) (* r (tan b)))

rewrite272.0ms (5.2%)

Memory
-77.6MiB live, 212.4MiB allocated; 114ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08976104
09455313
153155313
080794989
Stop Event
iter limit
node limit
iter limit
Counts
228 → 379
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(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)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))
(tan.f64 b)
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 b b)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.f64 r (tan.f64 b))))
(fma.f64 a (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.f64 r (tan.f64 b)))
(*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64)))
(pow.f64 (tan.f64 b) #s(literal 2 binary64))
(*.f64 r (tan.f64 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 #s(hole binary64 r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* r (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (* r (pow (tan b) 2)) #s(hole binary64 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (sin b) (cos b))) (* -1 (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (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 (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (- (* (cos 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (* a (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (+ b (* 1/2 (PI))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 a))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ b a))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* a (+ (/ (* r (sin b)) (* a (cos b))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (* r (sin b)) (* a (cos b)))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (* r (/ (sin b) (- (* (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 (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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 (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ b (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b r)))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* a (* b r))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* 1/3 (* b r)) (* a r)))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* a r) (* b (+ (* 1/3 r) (* 2/3 (* a (* b r)))))))))))
#s(approx (* r (pow (tan b) 2)) #s(hole binary64 (* (pow b 2) r)))
#s(approx (* r (pow (tan b) 2)) #s(hole binary64 (* (pow b 2) (+ r (* 2/3 (* (pow b 2) r))))))
#s(approx (* r (pow (tan b) 2)) #s(hole binary64 (* (pow b 2) (+ r (* (pow b 2) (+ (* 17/45 (* (pow b 2) r)) (* 2/3 r)))))))
#s(approx (* r (pow (tan b) 2)) #s(hole binary64 (* (pow b 2) (+ r (* (pow b 2) (+ (* 2/3 r) (* (pow b 2) (+ (* 62/315 (* (pow b 2) r)) (* 17/45 r)))))))))
#s(approx (pow (tan b) 2) #s(hole binary64 (pow b 2)))
#s(approx (pow (tan b) 2) #s(hole binary64 (* (pow b 2) (+ 1 (* 2/3 (pow b 2))))))
#s(approx (pow (tan b) 2) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (+ 2/3 (* 17/45 (pow b 2))))))))
#s(approx (pow (tan b) 2) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (+ 2/3 (* (pow b 2) (+ 17/45 (* 62/315 (pow b 2))))))))))
#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 (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 (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* -1/6 (pow b 2))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 b))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (pow (tan b) 2) #s(hole binary64 (/ (pow (sin b) 2) (pow (cos b) 2))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a 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))))))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a 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 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 (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)) (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 a b))) #s(literal 2 binary64))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
a
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(sin.f64 a)
(*.f64 #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (tan.f64 b)) r)
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (tan.f64 b)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (tan.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 (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(/.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 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))
(fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))
(+.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(+.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))
(*.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 (pow.f64 b #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
#s(literal -1/6 binary64)
#s(literal 1 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 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a 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 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(/.f64 (-.f64 (*.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 a b)
(+.f64 b a)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a 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))))))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a 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 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(/.f64 (-.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))
(+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 (tan.f64 b) r (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (tan.f64 b) r) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) (*.f64 (tan.f64 b) r)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (tan.f64 b) r) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (tan.f64 b) r) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) (*.f64 (tan.f64 b) r)))))
(fma.f64 (*.f64 a r) (pow.f64 (tan.f64 b) #s(literal 2 binary64)) (*.f64 (tan.f64 b) r))
(fma.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a (*.f64 (tan.f64 b) r))
(fma.f64 (tan.f64 b) r (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a))
(fma.f64 a (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) (*.f64 (tan.f64 b) r))
(fma.f64 r (tan.f64 b) (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a))
(-.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) (*.f64 (neg.f64 r) (tan.f64 b)))
(+.f64 (*.f64 (tan.f64 b) r) (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a))
(+.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r) a) (*.f64 (tan.f64 b) r))
(*.f64 (pow.f64 (tan.f64 b) #s(literal 2 binary64)) r)
(*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 b) #s(literal 1 binary64)) (pow.f64 (tan.f64 b) #s(literal 1 binary64)))
(*.f64 (tan.f64 b) (tan.f64 b))
(pow.f64 (pow.f64 (tan.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (tan.f64 b) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (tan.f64 b)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (tan.f64 b)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (tan.f64 b)) #s(literal 2 binary64))))
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx r r)
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b)) r))
#s(approx (* r (pow (tan b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b))) r)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (tan.f64 b) r))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 (tan.f64 b) r (/.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)) (* (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)) (* (sin b) (sin a))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (tan.f64 b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64))) a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64)))) a (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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 (*.f64 a a) #s(literal -1/6 binary64)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 #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 (*.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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (tan.f64 b) r))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 (tan.f64 b) r (/.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)) (* (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)) (* (sin b) (sin a))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (tan.f64 b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64))) a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64)))) a (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (neg.f64 (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))))) (*.f64 r (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))))) a) (*.f64 r (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (*.f64 a (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64)))))) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (/.f64 (fma.f64 (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))))) (fma.f64 (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64)))))) a) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal -1/2 binary64))) a (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))
#s(approx (+ (+ a b) (/ (PI) 2)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (tan.f64 b) r))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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 (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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 (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))
#s(approx (+ (+ a b) (/ (PI) 2)) a)
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)) a))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (/.f64 r a) (tan.f64 b) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a))))
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)) #s(literal 1 binary64))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 r a) (tan.f64 b) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (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)) (* (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 (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b) (neg.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (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 (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (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 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (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)) (* (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 (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b) (neg.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (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 (* (+ (* (* b b) -1/6) 1) b) b)
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* b b) -1/6) 1) (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b r) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) b) (*.f64 r (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (*.f64 r (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) #s(literal -1/6 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (*.f64 (*.f64 r (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64))))))) b) (*.f64 r (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (*.f64 b (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) #s(literal -1 binary64) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))) b) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) b (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))) #s(literal -1/6 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (*.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))) b) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) b (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal -1 binary64))) b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) b) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal -1/2 binary64))) b (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 b r))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 b r) a) (*.f64 #s(literal 1/3 binary64) r)) b (*.f64 a r)) b r) b))
#s(approx (* r (pow (tan b) 2)) (*.f64 (*.f64 b b) r))
#s(approx (* r (pow (tan b) 2)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 2/3 binary64) r) (*.f64 b b)))
#s(approx (* r (pow (tan b) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/3 binary64) r)) (*.f64 b b) r) (*.f64 b b)))
#s(approx (* r (pow (tan b) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 17/45 binary64) r)) (*.f64 b b) (*.f64 #s(literal 2/3 binary64) r)) (*.f64 b b) r) (*.f64 b b)))
#s(approx (pow (tan b) 2) (*.f64 b b))
#s(approx (pow (tan b) 2) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (pow (tan b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (pow (tan b) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 b b) #s(literal 17/45 binary64)) (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* 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 (*.f64 (*.f64 b b) r) #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 17/315 binary64) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 b b) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (tan b) (tan.f64 b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))
#s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ (+ a b) (/ (PI) 2)) b)
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))
#s(approx (pow (tan b) 2) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal -2 binary64)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b))))
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b)) #s(literal 1 binary64))))

eval108.0ms (2%)

Memory
28.5MiB live, 73.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 10 345 to 1 804 computations (82.6% saved)

prune50.0ms (1%)

Memory
-20.2MiB live, 76.0MiB allocated; 15ms collecting garbage
Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New36028388
Fresh7815
Picked235
Done000
Total36939408
Accuracy
99.8%
Counts
408 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
54.6%
(/.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)))
81.3%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))))
81.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
70.3%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a)))))
65.0%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
59.3%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
42.4%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
42.7%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))))
7.1%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b))))
14.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
68.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
63.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
58.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
56.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
30.3%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) (cos.f64 (+.f64 a b))))
55.2%
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) (cos.f64 (+.f64 a b))))
38.3%
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
55.1%
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (cos.f64 a))))
54.6%
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b)))
60.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (pow.f64 (tan.f64 b) #s(literal 2 binary64)) (tan.f64 b))))
29.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
30.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
30.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 b (PI.f64)))))
63.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
37.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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))))
37.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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))))
37.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
38.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
38.4%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
55.2%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
61.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.f64 r (tan.f64 b))))
35.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b)))
45.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (/.f64 r a) (tan.f64 b) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a)))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
Compiler

Compiled 1 568 to 1 149 computations (26.7% saved)

series117.0ms (2.2%)

Memory
15.9MiB live, 104.2MiB allocated; 12ms collecting garbage
Counts
27 → 162
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(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)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b))
#s(approx (tan b) b)
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 r (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))
#s(approx (+ (+ a b) (/ (PI) 2)) a)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(neg.f64 b)
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 #s(hole binary64 r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ 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 (* b (/ r (cos a))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (+ (* (cos 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (* 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 (* b (/ r (cos a))) #s(hole binary64 (* b r)))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (* a (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (+ b (* 1/2 (PI))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 1))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* -1/2 a))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 a))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ b a))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (* 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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (* r (/ (sin b) (- (* (cos 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) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ b (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (cos a)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#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) (/ (PI) 2)) #s(hole binary64 b))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (/ (cos a) b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))))
Calls

9 calls:

TimeVariablePointExpression
47.0ms
r
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (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)))) (/ (sin b) (cos (+ a b))) (tan b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (* b (/ r (cos a))) (/ r (cos a)) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (* (neg b) (sin a)) (cos a)) (neg b))
31.0ms
b
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (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)))) (/ (sin b) (cos (+ a b))) (tan b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (* b (/ r (cos a))) (/ r (cos a)) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (* (neg b) (sin a)) (cos a)) (neg b))
6.0ms
a
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (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)))) (/ (sin b) (cos (+ a b))) (tan b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (* b (/ r (cos a))) (/ r (cos a)) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (* (neg b) (sin a)) (cos a)) (neg b))
6.0ms
a
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (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)))) (/ (sin b) (cos (+ a b))) (tan b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (* b (/ r (cos a))) (/ r (cos a)) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (* (neg b) (sin a)) (cos a)) (neg b))
6.0ms
b
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (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)))) (/ (sin b) (cos (+ a b))) (tan b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (* b (/ r (cos a))) (/ r (cos a)) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (* (neg b) (sin a)) (cos a)) (neg b))

rewrite226.0ms (4.3%)

Memory
-23.2MiB live, 266.9MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08205980
08495027
149285027
081234713
Stop Event
iter limit
node limit
iter limit
Counts
189 → 283
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(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)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b))
#s(approx (tan b) b)
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 r (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))
#s(approx (+ (+ a b) (/ (PI) 2)) a)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(neg.f64 b)
#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 #s(hole binary64 r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ 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 (* b (/ r (cos a))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (+ (* (cos 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (* 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 (* b (/ r (cos a))) #s(hole binary64 (* b r)))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (* a (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (+ b (* 1/2 (PI))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 1))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* -1/2 a))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 a))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ b a))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (* 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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (* r (/ (sin b) (- (* (cos 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) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ b (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (cos a)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#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) (/ (PI) 2)) #s(hole binary64 b))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (/ (cos a) b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))))
Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1 binary64) b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(fma.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (neg.f64 (-.f64 a (neg.f64 b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b))))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (-.f64 a (neg.f64 b)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 b))) #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) (sin.f64 (+.f64 a b))))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
a
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (PI.f64)) a)) (cos.f64 (+.f64 (+.f64 b (PI.f64)) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (fma.f64 #s(literal -1 binary64) b a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 a (+.f64 b (PI.f64)))) (cos.f64 (+.f64 a (+.f64 b (PI.f64))))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal -1 binary64))
(neg.f64 (sin.f64 b))
(fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (PI.f64)))
(sin.f64 (neg.f64 b))
(-.f64 (*.f64 (cos.f64 b) #s(literal 0 binary64)) (*.f64 (sin.f64 b) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (PI.f64))) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(sin.f64 a)
(*.f64 #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(approx (tan b) b)) r)
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(approx (tan b) b)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(approx (tan b) b))
#s(approx (tan b) b)
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (neg.f64 (*.f64 b r)) (neg.f64 (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 a)))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))) r)
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))
#s(approx (+ (+ a b) (/ (PI) 2)) a)
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (sin.f64 b) #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 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)))
(/.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64))) (-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (cos.f64 a) (cos.f64 a) (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))))))
(fma.f64 (*.f64 (sin.f64 a) b) #s(literal -1 binary64) (cos.f64 a))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) b) (cos.f64 a))
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))
(-.f64 (cos.f64 a) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a))
(+.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a)))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx r r)
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* b (/ r (cos a))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ r (cos a)) (/.f64 r (cos.f64 a)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 r (tan.f64 b) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (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 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 r (tan.f64 b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 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 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (tan.f64 b))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))) a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) a (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (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 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 r (tan.f64 b) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (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 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 r (tan.f64 b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 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 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (tan.f64 b))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))) a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) a (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 r (tan.f64 b) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (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 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 r (tan.f64 b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 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 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 r (tan.f64 b))))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
#s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 a a)) (*.f64 (*.f64 b r) #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 a a) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b r) (fma.f64 #s(literal 1/48 binary64) (*.f64 b r) (*.f64 (*.f64 (*.f64 b r) #s(literal -5/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 a a))) (*.f64 (*.f64 b r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 a a) (*.f64 b r)))
#s(approx (/ r (cos a)) r)
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 a a)) (*.f64 r #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) r (fma.f64 (*.f64 r #s(literal -5/24 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) r))) (*.f64 a a))) (*.f64 r #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (neg.f64 (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))))) (*.f64 r (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))))) a) (*.f64 r (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (*.f64 a (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64)))))) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (/.f64 (fma.f64 (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))))) (fma.f64 (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64)))))) a) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal -1/2 binary64))) a (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))
#s(approx (+ (+ a b) (/ (PI) 2)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) a (neg.f64 b)) a #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a (neg.f64 b)) a #s(literal 1 binary64)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.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 (cos a) (cos.f64 a))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (sin.f64 b) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))
#s(approx (+ (+ a b) (/ (PI) 2)) a)
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)) a))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (sin.f64 b) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a))))
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)) #s(literal 1 binary64))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (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)) (* (sin b) (sin a))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (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)) (* (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 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (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 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (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)) (* (sin b) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (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)) (* (sin b) (sin a))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (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)) (* (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 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (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 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (tan b) b)
#s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (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)) (* (sin b) (sin a))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (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)) (* (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 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (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 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (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) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b r) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) b) (*.f64 r (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (*.f64 r (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) #s(literal -1/6 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (*.f64 (*.f64 r (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64))))))) b) (*.f64 r (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (*.f64 b (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) #s(literal -1 binary64) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))) b) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) b (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))) #s(literal -1/6 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (*.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))) b) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) b (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal -1 binary64))) b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) b) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal -1/2 binary64))) b (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (cos.f64 a))
#s(approx (neg b) (neg.f64 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) (/ (PI) 2)) b)
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (sin.f64 b) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b))))
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b)) #s(literal 1 binary64))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (cos.f64 a) b) #s(literal -1 binary64) (sin.f64 a))))

eval60.0ms (1.1%)

Memory
40.1MiB live, 85.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 9 149 to 1 474 computations (83.9% saved)

prune59.0ms (1.1%)

Memory
-8.2MiB live, 81.5MiB allocated; 9ms collecting garbage
Pruning

44 alts after pruning (37 fresh and 7 done)

PrunedKeptTotal
New31614330
Fresh82331
Picked145
Done033
Total32544369
Accuracy
99.8%
Counts
369 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
81.3%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.2%
(*.f64 r (/.f64 (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)))))
80.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (+.f64 b (PI.f64))) (sin.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
70.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.f64 a)))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
65.0%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
59.3%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
42.4%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
42.7%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))))
7.1%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b))))
14.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
68.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
63.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
58.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
56.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))))
41.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
12.1%
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
57.7%
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
55.1%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))))
60.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (pow.f64 (tan.f64 b) #s(literal 2 binary64)) (tan.f64 b))))
29.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
30.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
30.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 b (PI.f64)))))
63.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
37.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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))))
37.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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))))
37.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
38.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
38.4%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
55.1%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (cos.f64 a)))
55.2%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
36.6%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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))))))
36.7%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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))))))
36.8%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
31.1%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))))
33.8%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r))))
61.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.f64 r (tan.f64 b))))
35.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b)))
45.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (/.f64 r a) (tan.f64 b) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a)))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
Compiler

Compiled 1 866 to 1 323 computations (29.1% saved)

series105.0ms (2%)

Memory
-9.2MiB live, 138.1MiB allocated; 31ms collecting garbage
Counts
42 → 240
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(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 (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b))
(*.f64 (fma.f64 (*.f64 b r) a r) b)
(fma.f64 (*.f64 b r) a r)
(*.f64 b r)
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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 b (/.f64 r #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 r #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 (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)))
(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 (*.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a))
(fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 a a)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b)))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))))
(/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b))
(*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)
(fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b))
#s(literal -1 binary64)
(/.f64 (cos.f64 a) b)
Outputs
#s(approx (* r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx r #s(hole binary64 r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* r (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* b (* r (+ 1 (* a b))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* r (+ 1 (* a b)))))
#s(approx (* b r) #s(hole binary64 (* b r)))
#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 (* b (/ r (cos a))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (sin b) (cos b))) (* -1 (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (* a b)) 1))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* r (- (* -1 (* a b)) 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 b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (+ (* (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 (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 r))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (+ r (* a (* b r)))))
#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 (* b (/ r (cos a))) #s(hole binary64 (* b r)))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 (- (* 1/24 (pow a 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) #s(hole binary64 (* 1/24 (pow a 2))))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2))))))
#s(approx (+ (* -1/720 (* a a)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* a a)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (* a (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 1))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* -1/2 a))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 1))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* -1/2 a))))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (/ 1 b)))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (+ (* -1 a) (/ 1 b))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (+ (* a (- (* -1/2 (/ a b)) 1)) (/ 1 b))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (+ (* a (- (* a (- (* 1/6 a) (* 1/2 (/ 1 b)))) 1)) (/ 1 b))))
#s(approx (/ (cos a) b) #s(hole binary64 (/ 1 b)))
#s(approx (/ (cos a) b) #s(hole binary64 (+ (* -1/2 (/ (pow a 2) b)) (/ 1 b))))
#s(approx (/ (cos a) b) #s(hole binary64 (+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) b)) (* 1/2 (/ 1 b)))) (/ 1 b))))
#s(approx (/ (cos a) b) #s(hole binary64 (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) b)) (* 1/24 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ 1 b))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* a (+ (/ (* r (sin b)) (* a (cos b))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* a (* (pow b 2) r))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* a (+ (* (pow b 2) r) (/ (* b r) a)))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (* b r))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (+ (* b r) (/ r a)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (* -1/720 (pow a 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (* 1/24 (/ 1 (pow a 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (* 1/24 (/ 1 (pow a 2))) (+ 1/720 (/ 1/2 (pow a 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (+ (* 1/24 (/ 1 (pow a 2))) (/ 1 (pow a 6))) (+ 1/720 (/ 1/2 (pow a 4)))))))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 (* -1/720 (pow a 4))))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 (* (pow a 4) (- (* 1/24 (/ 1 (pow a 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 (* (pow a 4) (- (* 1/24 (/ 1 (pow a 2))) (+ 1/720 (/ 1/2 (pow a 4)))))))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) #s(hole binary64 (* -1/720 (pow a 4))))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) #s(hole binary64 (* (pow a 4) (- (* 1/24 (/ 1 (pow a 2))) 1/720))))
#s(approx (+ (* -1/720 (* a a)) 1/24) #s(hole binary64 (* -1/720 (pow a 2))))
#s(approx (+ (* -1/720 (* a a)) 1/24) #s(hole binary64 (* (pow a 2) (- (* 1/24 (/ 1 (pow a 2))) 1/720))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (* b (+ (* -1 (sin a)) (/ (cos a) b)))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (+ (* -1 (sin a)) (/ (cos a) b))))
#s(approx (/ (cos a) b) #s(hole binary64 (/ (cos a) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (* r (sin b)) (* a (cos b)))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a)))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a)))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (* 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 (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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 (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b r)))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* a (* b r))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* 1/3 (* b r)) (* a r)))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* a r) (* b (+ (* 1/3 r) (* 2/3 (* a (* b r)))))))))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* b (+ r (* a (* b r))))))
#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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ b (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (cos a)))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (/ (cos a) b)))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (/ (+ (cos a) (* -1 (* b (sin a)))) b)))
#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 (* (+ (* (* b r) a) r) b) #s(hole binary64 (* (pow b 2) (+ (* a r) (/ r b)))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* b (+ (* a r) (/ r b)))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (/ (cos a) b)))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (* -1 (sin a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b)))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))))
Calls

9 calls:

TimeVariablePointExpression
39.0ms
r
@inf
((* r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))))) r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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)))) (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (* (+ (* (* b r) a) r) b) (+ (* (* b r) a) r) (* b r) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (* b (/ r (cos a))) (/ r (cos a)) (cos a) (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* (+ (* -1/720 (* a a)) 1/24) (* a a)) (+ (* -1/720 (* a a)) 1/24) -1/720 (* a a) 1/24 1/2 1 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (* (neg b) (sin a)) (cos a)) (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (+ (* -1 (sin a)) (/ (cos a) b)) -1 (/ (cos a) b))
14.0ms
b
@-inf
((* r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))))) r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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)))) (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (* (+ (* (* b r) a) r) b) (+ (* (* b r) a) r) (* b r) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (* b (/ r (cos a))) (/ r (cos a)) (cos a) (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* (+ (* -1/720 (* a a)) 1/24) (* a a)) (+ (* -1/720 (* a a)) 1/24) -1/720 (* a a) 1/24 1/2 1 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (* (neg b) (sin a)) (cos a)) (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (+ (* -1 (sin a)) (/ (cos a) b)) -1 (/ (cos a) b))
10.0ms
a
@inf
((* r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))))) r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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)))) (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (* (+ (* (* b r) a) r) b) (+ (* (* b r) a) r) (* b r) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (* b (/ r (cos a))) (/ r (cos a)) (cos a) (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* (+ (* -1/720 (* a a)) 1/24) (* a a)) (+ (* -1/720 (* a a)) 1/24) -1/720 (* a a) 1/24 1/2 1 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (* (neg b) (sin a)) (cos a)) (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (+ (* -1 (sin a)) (/ (cos a) b)) -1 (/ (cos a) b))
8.0ms
r
@-inf
((* r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))))) r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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)))) (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (* (+ (* (* b r) a) r) b) (+ (* (* b r) a) r) (* b r) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (* b (/ r (cos a))) (/ r (cos a)) (cos a) (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* (+ (* -1/720 (* a a)) 1/24) (* a a)) (+ (* -1/720 (* a a)) 1/24) -1/720 (* a a) 1/24 1/2 1 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (* (neg b) (sin a)) (cos a)) (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (+ (* -1 (sin a)) (/ (cos a) b)) -1 (/ (cos a) b))
7.0ms
a
@-inf
((* r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))))) r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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)))) (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (* (+ (* (* b r) a) r) b) (+ (* (* b r) a) r) (* b r) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (* b (/ r (cos a))) (/ r (cos a)) (cos a) (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* (+ (* -1/720 (* a a)) 1/24) (* a a)) (+ (* -1/720 (* a a)) 1/24) -1/720 (* a a) 1/24 1/2 1 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (* (neg b) (sin a)) (cos a)) (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (+ (* -1 (sin a)) (/ (cos a) b)) -1 (/ (cos a) b))

rewrite291.0ms (5.5%)

Memory
-0.3MiB live, 291.2MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010217775
010716756
158526756
086656385
Stop Event
iter limit
node limit
iter limit
Counts
282 → 433
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(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 (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b))
(*.f64 (fma.f64 (*.f64 b r) a r) b)
(fma.f64 (*.f64 b r) a r)
(*.f64 b r)
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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 b (/.f64 r #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 r #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 (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)))
(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 (*.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a))
(fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 a a)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b)))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))))
(/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b))
(*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)
(fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b))
#s(literal -1 binary64)
(/.f64 (cos.f64 a) b)
#s(approx (* r (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx r #s(hole binary64 r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* r (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* b (* r (+ 1 (* a b))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* r (+ 1 (* a b)))))
#s(approx (* b r) #s(hole binary64 (* b r)))
#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 (* b (/ r (cos a))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (sin b) (cos b))) (* -1 (/ (* a (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (* a b)) 1))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* r (- (* -1 (* a b)) 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 b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (+ (* (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 (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 r))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (+ r (* a (* b r)))))
#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 (* b (/ r (cos a))) #s(hole binary64 (* b r)))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* b (/ r (cos a))) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 (- (* 1/24 (pow a 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) #s(hole binary64 (* 1/24 (pow a 2))))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2))))))
#s(approx (+ (* -1/720 (* a a)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* a a)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (* a (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin b) (sin (+ b (* 1/2 (PI))))))))) (/ (* (cos (+ b (* 1/2 (PI)))) (sin b)) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (sin b) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 1))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* -1/2 a))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 1))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* -1/2 a))))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (/ 1 b)))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (+ (* -1 a) (/ 1 b))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (+ (* a (- (* -1/2 (/ a b)) 1)) (/ 1 b))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (+ (* a (- (* a (- (* 1/6 a) (* 1/2 (/ 1 b)))) 1)) (/ 1 b))))
#s(approx (/ (cos a) b) #s(hole binary64 (/ 1 b)))
#s(approx (/ (cos a) b) #s(hole binary64 (+ (* -1/2 (/ (pow a 2) b)) (/ 1 b))))
#s(approx (/ (cos a) b) #s(hole binary64 (+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) b)) (* 1/2 (/ 1 b)))) (/ 1 b))))
#s(approx (/ (cos a) b) #s(hole binary64 (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) b)) (* 1/24 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ 1 b))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* a (+ (/ (* r (sin b)) (* a (cos b))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* a (* (pow b 2) r))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* a (+ (* (pow b 2) r) (/ (* b r) a)))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (* b r))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (+ (* b r) (/ r a)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (* -1/720 (pow a 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (* 1/24 (/ 1 (pow a 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (* 1/24 (/ 1 (pow a 2))) (+ 1/720 (/ 1/2 (pow a 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (+ (* 1/24 (/ 1 (pow a 2))) (/ 1 (pow a 6))) (+ 1/720 (/ 1/2 (pow a 4)))))))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 (* -1/720 (pow a 4))))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 (* (pow a 4) (- (* 1/24 (/ 1 (pow a 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(hole binary64 (* (pow a 4) (- (* 1/24 (/ 1 (pow a 2))) (+ 1/720 (/ 1/2 (pow a 4)))))))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) #s(hole binary64 (* -1/720 (pow a 4))))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) #s(hole binary64 (* (pow a 4) (- (* 1/24 (/ 1 (pow a 2))) 1/720))))
#s(approx (+ (* -1/720 (* a a)) 1/24) #s(hole binary64 (* -1/720 (pow a 2))))
#s(approx (+ (* -1/720 (* a a)) 1/24) #s(hole binary64 (* (pow a 2) (- (* 1/24 (/ 1 (pow a 2))) 1/720))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (* b (+ (* -1 (sin a)) (/ (cos a) b)))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (+ (* -1 (sin a)) (/ (cos a) b))))
#s(approx (/ (cos a) b) #s(hole binary64 (/ (cos a) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (* r (sin b)) (* a (cos b)))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a)))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a)))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (* 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 (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (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 (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b r)))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* a (* b r))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* 1/3 (* b r)) (* a r)))))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(hole binary64 (* b (+ r (* b (+ (* a r) (* b (+ (* 1/3 r) (* 2/3 (* a (* b r)))))))))))
#s(approx (* (+ (* (* b r) a) r) b) #s(hole binary64 (* b (+ r (* a (* b r))))))
#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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ b (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* 1/2 (/ 1 (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ a (* 1/2 (PI)))) 2) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ a (* 1/2 (PI))))))))) (/ (cos (+ a (* 1/2 (PI)))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ a (* 1/2 (PI)))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (cos a)))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (/ (cos a) b)))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (/ (+ (cos a) (* -1 (* b (sin a)))) b)))
#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 (* (+ (* (* b r) a) r) b) #s(hole binary64 (* (pow b 2) (+ (* a r) (/ r b)))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* b (+ (* a r) (/ r b)))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (/ (cos a) b)))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) #s(hole binary64 (* -1 (sin a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b)))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (sin b) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(hole binary64 (* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))))
Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(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 a b)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.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 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.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 a)) (sin.f64 b) (*.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 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.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 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(sin.f64 (+.f64 (neg.f64 (-.f64 a (neg.f64 b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.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 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 b))) #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) (sin.f64 (+.f64 a b))))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.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 (+.f64 b (PI.f64)))
(sin.f64 (neg.f64 b))
(-.f64 (*.f64 (cos.f64 b) #s(literal 0 binary64)) (*.f64 (sin.f64 b) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
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#s(literal 1/24 binary64)
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(+.f64 (*.f64 (neg.f64 (sin.f64 a)) b) (*.f64 (/.f64 (cos.f64 a) b) b))
(+.f64 (*.f64 b (neg.f64 (sin.f64 a))) (*.f64 b (/.f64 (cos.f64 a) b)))
(/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 a))) (*.f64 (/.f64 (cos.f64 a) b) (/.f64 (cos.f64 a) b))) (-.f64 (neg.f64 (sin.f64 a)) (/.f64 (cos.f64 a) b)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 (cos.f64 a) b) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 a)) (-.f64 (*.f64 (/.f64 (cos.f64 a) b) (/.f64 (cos.f64 a) b)) (*.f64 (neg.f64 (sin.f64 a)) (/.f64 (cos.f64 a) b)))))
(fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b))
(fma.f64 (sin.f64 a) #s(literal -1 binary64) (/.f64 (cos.f64 a) b))
(+.f64 (/.f64 (cos.f64 a) b) (neg.f64 (sin.f64 a)))
(+.f64 (neg.f64 (sin.f64 a)) (/.f64 (cos.f64 a) b))
#s(literal -1 binary64)
(/.f64 (neg.f64 (cos.f64 a)) (neg.f64 b))
(/.f64 (cos.f64 a) b)
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx r r)
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b)) r))
#s(approx (* (+ (* (* b r) a) r) b) (*.f64 (*.f64 (fma.f64 a b #s(literal 1 binary64)) r) b))
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a b #s(literal 1 binary64)) r))
#s(approx (* b r) (*.f64 b r))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* b (/ r (cos a))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ r (cos a)) (/.f64 r (cos.f64 a)))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b))) r)))
#s(approx (* (+ (* (* b r) a) r) b) (*.f64 (neg.f64 b) (*.f64 (-.f64 (*.f64 (neg.f64 a) b) #s(literal 1 binary64)) r)))
#s(approx (+ (* (* b r) a) r) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) b) #s(literal 1 binary64)) r)))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (tan.f64 b) r))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 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) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (tan.f64 b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64))) a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64)))) a (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (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 b) (/ (PI) 2))) (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 (*.f64 a a) #s(literal 1/24 binary64)) (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 (*.f64 a a) #s(literal -1/720 binary64)) (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 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (tan.f64 b) r))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 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) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (tan.f64 b) r))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (* (+ (* (* b r) a) r) b) (*.f64 b r))
#s(approx (* (+ (* (* b r) a) r) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))
#s(approx (+ (* (* b r) a) r) r)
#s(approx (+ (* (* b r) a) r) (fma.f64 (*.f64 b r) a r))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (tan.f64 b) r))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 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) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
#s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 a a)) (*.f64 (*.f64 b r) #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 a a) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 b r) (*.f64 (*.f64 (*.f64 b r) #s(literal -5/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 a a))) (*.f64 (*.f64 b r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 a a) (*.f64 b r)))
#s(approx (/ r (cos a)) r)
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 a a)) (*.f64 r #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) r (fma.f64 (*.f64 r #s(literal -5/24 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) r))) (*.f64 a a))) (*.f64 r #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a))
#s(approx (+ (* -1/720 (* a a)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* a a)) 1/24) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (tan.f64 b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (tan.f64 b)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64))) a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (tan.f64 b) (pow.f64 (neg.f64 (tan.f64 b)) #s(literal 3 binary64)))) a (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (tan.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (neg.f64 (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 b))) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64))))))) (*.f64 r (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (neg.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64))))))) a) (*.f64 r (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (*.f64 a (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64)))))) (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (neg.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (/.f64 (fma.f64 (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64))))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))))) (fma.f64 (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64)))))) a) (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal -1/2 binary64))) a (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) a (neg.f64 b)) a #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a b)) #s(literal 1/2 binary64)) a (neg.f64 b)) a #s(literal 1 binary64)))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(literal 1 binary64))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (fma.f64 (fma.f64 #s(literal -1/2 binary64) a (neg.f64 b)) a #s(literal 1 binary64)))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a b)) #s(literal 1/2 binary64)) a (neg.f64 b)) a #s(literal 1 binary64)))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (pow.f64 b #s(literal -1 binary64)))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (fma.f64 #s(literal -1 binary64) a (pow.f64 b #s(literal -1 binary64))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (fma.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1 binary64)) a (pow.f64 b #s(literal -1 binary64))))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a) #s(literal 1 binary64)) a (pow.f64 b #s(literal -1 binary64))))
#s(approx (/ (cos a) b) (pow.f64 b #s(literal -1 binary64)))
#s(approx (/ (cos a) b) (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (pow.f64 b #s(literal -1 binary64))))
#s(approx (/ (cos a) b) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 a a) b) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) (pow.f64 b #s(literal -1 binary64))))
#s(approx (/ (cos a) b) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) (pow.f64 b #s(literal -1 binary64))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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 (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (/.f64 r a) (tan.f64 b) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a))
#s(approx (* (+ (* (* b r) a) r) b) (*.f64 (*.f64 (*.f64 b b) r) a))
#s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 (*.f64 b b) r (/.f64 (*.f64 b r) a)) a))
#s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (*.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 a #s(literal 6 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 6 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (* a a)) 1) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 a #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 6 binary64))))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (- (* (+ (* -1/720 (* a a)) 1/24) (* a a)) 1/2) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* a a)) 1/24) (* a a)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* a a)) 1/24) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* a a)) 1/24) (*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (*.f64 a a)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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 (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)))
#s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 r a) (tan.f64 b) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))))
#s(approx (* (+ (* (* b r) a) r) b) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) r (/.f64 (*.f64 b r) a)))))
#s(approx (+ (* (* b r) a) r) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (fma.f64 b r (/.f64 r a)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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) (sin (+ (+ a b) (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (neg.f64 a)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (neg.f64 a)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (neg.f64 a))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 (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 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (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 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (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 (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (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 b) (/ (PI) 2))) (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 (*.f64 b b) #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (* (cos a) (cos b)) (cos.f64 a))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (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 a) (cos b)) (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 (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 (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 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (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 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (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 (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 b r))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b))
#s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 a b) r) (*.f64 #s(literal 1/3 binary64) r)) b (*.f64 a r)) b r) b))
#s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 (*.f64 b r) a r) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 (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 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (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 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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) (sin (+ (+ a b) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b r) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) b) (*.f64 r (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) b))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (*.f64 r (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) #s(literal -1/6 binary64) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (*.f64 (*.f64 r (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64))))))) b) (*.f64 r (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (*.f64 b (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) #s(literal -1 binary64) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))) b) (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) b (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))) b))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) #s(literal -1/6 binary64) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (*.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))))) b) (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) b (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))) b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) b (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) b (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) b) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal -1/2 binary64))) b (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) b (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (cos.f64 a))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (cos.f64 a))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (/.f64 (cos.f64 a) b))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))
#s(approx (sin b) (sin.f64 b))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (cos b) (cos.f64 b))
#s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 a r (/.f64 r b)) (*.f64 b b)))
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (neg.f64 (sin.f64 a)))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (* b r) a) r) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (fma.f64 a r (/.f64 r b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (* r (/ (sin b) (sin (+ (+ a b) (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) (neg.f64 b)))))
#s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) (neg.f64 b)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) (neg.f64 b))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (cos.f64 a) b) #s(literal -1 binary64) (sin.f64 a))))
#s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (cos.f64 a) b) #s(literal -1 binary64) (sin.f64 a))))

eval68.0ms (1.3%)

Memory
31.9MiB live, 164.6MiB allocated; 19ms collecting garbage
Compiler

Compiled 17 167 to 2 544 computations (85.2% saved)

prune150.0ms (2.9%)

Memory
-15.1MiB live, 172.9MiB allocated; 28ms collecting garbage
Pruning

54 alts after pruning (45 fresh and 9 done)

PrunedKeptTotal
New47520495
Fresh72532
Picked325
Done077
Total48554539
Accuracy
99.9%
Counts
539 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
63.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
81.3%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))))
99.1%
(*.f64 r (/.f64 (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)))))
80.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
65.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
59.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))))
70.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
42.4%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
42.3%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
42.7%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))))
7.1%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b))))
14.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
68.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
58.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
58.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 #s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (/.f64 (cos.f64 a) b)) b)))))
41.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(literal 1 binary64))))))
12.1%
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
57.7%
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
57.7%
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))))
55.1%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))))
60.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (pow.f64 (tan.f64 b) #s(literal 2 binary64)) (tan.f64 b))))
29.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
30.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
30.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 b (PI.f64)))))
63.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
37.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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))))
37.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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))))
37.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
38.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
38.4%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
55.1%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (cos.f64 a)))
36.6%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))
55.2%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
31.0%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a) #s(literal 1 binary64))))))
36.6%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.7%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.8%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
31.1%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))))
33.8%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r))))
61.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.f64 r (tan.f64 b))))
35.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b)))
45.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (/.f64 r a) (tan.f64 b) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a)))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
27.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r)) b)))
29.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a)) b)))
27.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b)) b)))
13.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r)) b)))
34.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 (*.f64 b b) r (/.f64 (*.f64 b r) a)) a))))
14.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (*.f64 (*.f64 b b) r) a))))
Compiler

Compiled 3 513 to 1 453 computations (58.6% saved)

regimes126.0ms (2.4%)

Memory
2.0MiB live, 247.6MiB allocated; 40ms collecting garbage
Counts
83 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (*.f64 (*.f64 b b) r) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 (*.f64 b b) r (/.f64 (*.f64 b r) a)) a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 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 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 #s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (/.f64 (cos.f64 a) b)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (pow.f64 (tan.f64 b) #s(literal 2 binary64)) (tan.f64 b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.f64 r (tan.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (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 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b)))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (+.f64 b (PI.f64))) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))) (*.f64 (cos.f64 a) (cos.f64 b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (/.f64 r a) (tan.f64 b) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (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 r (/.f64 (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 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.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 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
Calls

5 calls:

31.0ms
b
25.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
22.0ms
a
22.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
22.0ms
r
Results
AccuracySegmentsBranch
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes175.0ms (3.3%)

Memory
-7.2MiB live, 181.3MiB allocated; 19ms collecting garbage
Counts
73 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (*.f64 (*.f64 b b) r) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 (*.f64 b b) r (/.f64 (*.f64 b r) a)) a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 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 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 #s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (/.f64 (cos.f64 a) b)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (pow.f64 (tan.f64 b) #s(literal 2 binary64)) (tan.f64 b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.f64 r (tan.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (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 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b)))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
Calls

5 calls:

71.0ms
b
40.0ms
r
22.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
21.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
17.0ms
a
Results
AccuracySegmentsBranch
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes143.0ms (2.7%)

Memory
13.0MiB live, 148.4MiB allocated; 11ms collecting garbage
Counts
72 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (*.f64 (*.f64 b b) r) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 (*.f64 b b) r (/.f64 (*.f64 b r) a)) a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 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 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 #s(approx (+ (* -1 (sin a)) (/ (cos a) b)) (/.f64 (cos.f64 a) b)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (pow.f64 (tan.f64 b) #s(literal 2 binary64)) (tan.f64 b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (*.f64 r (pow.f64 (tan.f64 b) #s(literal 2 binary64))) (*.f64 r (tan.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (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 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b)))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

54.0ms
r
33.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
18.0ms
b
17.0ms
a
17.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
81.3%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
81.3%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
81.3%1r
81.3%1a
81.3%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes105.0ms (2%)

Memory
-10.0MiB live, 130.2MiB allocated; 18ms collecting garbage
Counts
44 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (*.f64 (*.f64 b b) r) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 (*.f64 b b) r (/.f64 (*.f64 b r) a)) a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 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 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 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 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
Calls

5 calls:

14.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
13.0ms
r
11.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
11.0ms
b
11.0ms
a
Results
AccuracySegmentsBranch
63.8%1r
70.2%3(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
80.7%3b
80.7%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
80.6%3a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes24.0ms (0.4%)

Memory
11.2MiB live, 54.2MiB allocated; 4ms collecting garbage
Counts
38 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (*.f64 (*.f64 b b) r) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 (*.f64 b b) r (/.f64 (*.f64 b r) a)) a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
Calls

2 calls:

12.0ms
b
10.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
80.7%3b
80.7%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes30.0ms (0.6%)

Memory
-4.3MiB live, 57.4MiB allocated; 19ms collecting garbage
Counts
37 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (*.f64 (*.f64 b b) r) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 (*.f64 b b) r (/.f64 (*.f64 b r) a)) a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(approx (* (+ (* -1 (sin a)) (/ (cos a) b)) b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
Calls

2 calls:

19.0ms
b
9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
80.7%3b
80.7%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes31.0ms (0.6%)

Memory
-15.2MiB live, 75.4MiB allocated; 7ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (*.f64 (*.f64 b b) r) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 (*.f64 b b) r (/.f64 (*.f64 b r) a)) a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 b (PI.f64)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
Calls

4 calls:

9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms
b
6.0ms
a
6.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
63.8%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
63.8%1a
63.8%1b
63.8%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 18 to 21 computations (-16.7% saved)

regimes32.0ms (0.6%)

Memory
32.1MiB live, 77.1MiB allocated; 3ms collecting garbage
Accuracy

Total -19.5b remaining (-49.2%)

Threshold costs -19.5b (-49.2%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (*.f64 (*.f64 b b) r) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (*.f64 b r) a r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b r) (*.f64 a r)) b r) b)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) #s(approx (* (+ (* (* b r) a) r) b) (*.f64 (fma.f64 (*.f64 b b) r (/.f64 (*.f64 b r) a)) a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a 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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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 (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* a a)) 1/24) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (*.f64 b (/.f64 r #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) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (+ (* a (* r (pow (tan b) 2))) (* r (tan b))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r)) b)))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
Calls

5 calls:

9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms
a
5.0ms
r
5.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms
b
Results
AccuracySegmentsBranch
38.1%1b
38.1%1r
38.1%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
38.1%1a
38.1%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1098223339949302e-16
3.115864947326849e-16
0.0ms
-0.01300757789367861
-6.696065810251276e-6
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1098223339949302e-16
3.115864947326849e-16
0.0ms
-0.01300757789367861
-6.696065810251276e-6
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1098223339949302e-16
3.115864947326849e-16
0.0ms
-0.01300757789367861
-6.696065810251276e-6
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify29.0ms (0.6%)

Memory
0.2MiB live, 55.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056218
183218
2111218
3153218
4221218
5675218
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 6084722881095501/20282409603651670423947251286016 binary64)) (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 6084722881095501/20282409603651670423947251286016 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 6084722881095501/20282409603651670423947251286016 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 6084722881095501/20282409603651670423947251286016 binary64)) (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))))
(if (or (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (not (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 6084722881095501/20282409603651670423947251286016 binary64)))) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 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))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 6084722881095501/20282409603651670423947251286016 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))))
(if (or (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (not (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 6084722881095501/20282409603651670423947251286016 binary64)))) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))) (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 6084722881095501/20282409603651670423947251286016 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))))
(if (or (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (not (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 6084722881095501/20282409603651670423947251286016 binary64)))) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (tan b) b)))

derivations152.0ms (2.9%)

Memory
-33.7MiB live, 151.8MiB allocated; 22ms collecting garbage
Stop Event
fuel
Compiler

Compiled 218 to 55 computations (74.8% saved)

preprocess46.0ms (0.9%)

Memory
23.1MiB live, 115.8MiB allocated; 5ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 518 to 174 computations (66.4% saved)

end0.0ms (0%)

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

Profiling

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