rsin B (should all be same)

Time bar (total: 11.3s)

start0.0ms (0%)

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

analyze231.0ms (2%)

Memory
25.6MiB live, 254.5MiB allocated; 32ms 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)

sample1.9s (17.2%)

Memory
7.4MiB live, 986.8MiB allocated; 887ms collecting garbage
Samples
1.4s5 985×1valid
159.0ms2 271×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 455.0ms (34.4% of total)
ival-add!: 312.0ms (23.6% of total)
ival-sin: 242.0ms (18.3% of total)
adjust: 174.0ms (13.2% of total)
ival-mult!: 79.0ms (6% of total)
ival-div!: 61.0ms (4.6% of total)
Bogosity

preprocess66.0ms (0.6%)

Memory
27.1MiB live, 27.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03895
117793
279993
3526893
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Symmetry

(negabs r)

Compiler

Compiled 16 to 16 computations (0% saved)

series193.0ms (1.7%)

Memory
-2.6MiB live, 43.4MiB allocated; 10ms collecting garbage
Counts
8 → 45
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)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
#s(approx r r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))) (cos.f64 b)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))))) (cos.f64 b)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (cos (+ a b)) (cos.f64 b))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b)))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b))))) (sin.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) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a))))
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (cos.f64 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (cos.f64 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (cos (+ a b)) (cos.f64 a))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 #s(literal -1 binary64) (*.f64 b (sin.f64 a)))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a))))) (sin.f64 a)))))
#s(approx (sin b) (sin.f64 b))
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b))))
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
r
@inf
((* r (/ (sin b) (cos (+ a b)))) r (/ (sin b) (cos (+ a b))) (sin b) b (cos (+ a b)) (+ a b) a)
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
r
@-inf
((* 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)

rewrite737.0ms (6.5%)

Memory
-20.4MiB live, 235.6MiB allocated; 48ms collecting garbage
Counts
8 → 102
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
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 (*.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) (neg.f64 #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 a b))) r))
(neg.f64 (*.f64 r (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 a b)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
r
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) (sin.f64 (neg.f64 b)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 b))
(cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 b (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)))
(neg.f64 (sin.f64 (neg.f64 b)))
(sin.f64 b)
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(sin.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))
(sin.f64 (neg.f64 (+.f64 b (PI.f64))))
b
(neg.f64 (neg.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 (+.f64 a b)) #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (-.f64 (neg.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 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 (neg.f64 a))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 (neg.f64 b))))
(-.f64 (*.f64 (sin.f64 a) (cos.f64 (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 a) (sin.f64 (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))))
(-.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 (neg.f64 a))) (sin.f64 b)))
(-.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(cos.f64 (+.f64 a b))
(cos.f64 (fabs.f64 (+.f64 a b)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (neg.f64 (fabs.f64 (+.f64 a b))))
(cos.f64 (+.f64 (-.f64 (neg.f64 b) (-.f64 a (PI.f64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 a b) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 a b)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (/.f64 (+.f64 (fma.f64 (+.f64 a b) #s(literal 2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (-.f64 (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 a b)))))
(fma.f64 (sin.f64 (neg.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (fabs.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (-.f64 (neg.f64 a) b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (sin.f64 (neg.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 #s(literal 0 binary64) (sin.f64 (+.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (-.f64 (neg.f64 b) (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (-.f64 (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(+.f64 a b)
(+.f64 b a)
(+.f64 (neg.f64 (neg.f64 a)) b)
(+.f64 b (neg.f64 (neg.f64 a)))
(-.f64 a (neg.f64 b))
(-.f64 b (neg.f64 a))
(neg.f64 (-.f64 (neg.f64 a) b))
a

eval32.0ms (0.3%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 529 to 665 computations (56.5% saved)

prune21.0ms (0.2%)

Memory
-30.8MiB live, 15.5MiB allocated; 3ms collecting garbage
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New11524139
Fresh000
Picked101
Done000
Total11624140
Accuracy
99.7%
Counts
140 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
76.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))
76.8%
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) r))
76.9%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
9.0%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
41.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (neg.f64 b) (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))))
41.7%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
64.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))))))
62.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
60.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))))))
60.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b)))))))
51.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)))))))
52.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 #s(literal -1 binary64) (*.f64 b (sin.f64 a)))))))
54.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
11.1%
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
50.6%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
51.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
50.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
62.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
50.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
Compiler

Compiled 710 to 670 computations (5.6% saved)

series636.0ms (5.6%)

Memory
22.2MiB live, 254.2MiB allocated; 32ms collecting garbage
Counts
36 → 133
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))
(sin.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))))))
(/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))))
(cos.f64 #s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
(/.f64 b a)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))))
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))
(*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b)))
#s(literal -1/2 binary64)
(*.f64 a (cos.f64 b))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))))
#s(approx r r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
#s(approx (/ (* b r) (cos a)) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (* b r) (*.f64 b r))
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))) (cos.f64 b)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))))) (cos.f64 b)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 b) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b)))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 b) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b)))))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 b) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b)))))))))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx a a)
#s(approx (* (sin (neg a)) (sin b)) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b)) (*.f64 #s(literal 1/6 binary64) (sin.f64 b)))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 b) (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b))))))))))
#s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a))
#s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (/ (* b r) (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b r)) (*.f64 b r)))
#s(approx (/ (* b r) (cos a)) (fma.f64 b r (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 b r) (*.f64 #s(literal 1/24 binary64) (*.f64 b r))))) (*.f64 #s(literal -1/2 binary64) (*.f64 b r))))))
#s(approx (/ (* b r) (cos a)) (fma.f64 b r (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 b r) (fma.f64 #s(literal 1/48 binary64) (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 b r) (*.f64 #s(literal 1/24 binary64) (*.f64 b r)))))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 b r) (*.f64 #s(literal 1/24 binary64) (*.f64 b r))))) (*.f64 #s(literal -1/2 binary64) (*.f64 b r))))))
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))
#s(approx (/ r (cos (+ a b))) (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 a (*.f64 r (sin.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ r (cos (+ a b))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 r (cos.f64 b))))
#s(approx (/ r (cos (+ a b))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b))))) (cos.f64 b)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 r (cos.f64 b))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b))))) (sin.f64 b)))))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (+ 1 (/ b a)) (/.f64 b a))
#s(approx (+ 1 (/ b a)) (/.f64 (+.f64 a b) a))
#s(approx (* a (- (* -1/2 (* a (cos b))) (sin b))) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))))))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1 binary64) (sin.f64 b)))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))
#s(approx (* -1/2 (* a (cos b))) (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))))
#s(approx (* a (cos b)) (*.f64 a (cos.f64 b)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
#s(approx (sin (neg a)) (sin.f64 (neg.f64 a)))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (+ 1 (/ b a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (cos.f64 b))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (/.f64 (cos.f64 b) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (sin.f64 b) a))))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a))))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a)))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a))))
#s(approx (sin (neg a)) (sin.f64 (*.f64 #s(literal -1 binary64) a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a))))
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) a))) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (cos.f64 b) (/.f64 (sin.f64 b) a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 r (sin.f64 (neg.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 (neg.f64 a)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (cos.f64 a))))) (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 (neg.f64 a)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (cos.f64 a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (sin.f64 (neg.f64 a)))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal -1/6 binary64) (*.f64 b (sin.f64 (neg.f64 a))))))))))
#s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64)))))
#s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (sin.f64 (neg.f64 a))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 (neg.f64 a)))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 (neg.f64 a)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 (neg.f64 a)))))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 (neg.f64 a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 (neg.f64 a))) (*.f64 #s(literal 1/120 binary64) (sin.f64 (neg.f64 a))))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (cos.f64 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a)))
#s(approx (/ r (cos (+ a b))) (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
#s(approx (/ r (cos (+ a b))) (fma.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a))))
#s(approx (/ r (cos (+ a b))) (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))))) (cos.f64 a)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 #s(literal -1 binary64) (*.f64 b (sin.f64 a)))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a))))) (sin.f64 a)))))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (cos.f64 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 b (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a b) (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
#s(approx (* a (- (* -1/2 (* a (cos b))) (sin b))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))
#s(approx (* a (- (* -1/2 (* a (cos b))) (sin b))) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (* a (- (* -1/2 (* a (cos b))) (sin b))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))))))
#s(approx (* a (- (* -1/2 (* a (cos b))) (sin b))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 a b) (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (fma.f64 #s(literal -1/2 binary64) a (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a b)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (fma.f64 #s(literal -1/2 binary64) a (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) a))) #s(literal 1 binary64)))))
#s(approx (* -1/2 (* a (cos b))) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))))))
#s(approx (* -1/2 (* a (cos b))) (fma.f64 #s(literal -1/2 binary64) a (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) a)))))
#s(approx (* -1/2 (* a (cos b))) (fma.f64 #s(literal -1/2 binary64) a (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) a (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/1440 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))))))))))
#s(approx (* a (cos b)) (+.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))))))
#s(approx (* a (cos b)) (+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (* a (cos b)) (+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) a (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) a)))))))
#s(approx (sin b) (sin.f64 b))
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (+ 1 (/ b a)) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (* a (- (* -1/2 (* a (cos b))) (sin b))) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b)))))
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b))))
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b)))))
Calls

9 calls:

TimeVariablePointExpression
28.0ms
b
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (sin b) b (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (cos b) (cos a) a (* (sin (neg a)) (sin b)) (sin (neg a)) (neg a) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (* a (+ 1 (/ b a))) (+ 1 (/ b a)) 1 (/ b a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (* a (- (* -1/2 (* a (cos b))) (sin b))) (- (* -1/2 (* a (cos b))) (sin b)) (* -1/2 (* a (cos b))) -1/2 (* a (cos b)))
22.0ms
a
@0
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (sin b) b (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (cos b) (cos a) a (* (sin (neg a)) (sin b)) (sin (neg a)) (neg a) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (* a (+ 1 (/ b a))) (+ 1 (/ b a)) 1 (/ b a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (* a (- (* -1/2 (* a (cos b))) (sin b))) (- (* -1/2 (* a (cos b))) (sin b)) (* -1/2 (* a (cos b))) -1/2 (* a (cos b)))
9.0ms
a
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (sin b) b (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (cos b) (cos a) a (* (sin (neg a)) (sin b)) (sin (neg a)) (neg a) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (* a (+ 1 (/ b a))) (+ 1 (/ b a)) 1 (/ b a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (* a (- (* -1/2 (* a (cos b))) (sin b))) (- (* -1/2 (* a (cos b))) (sin b)) (* -1/2 (* a (cos b))) -1/2 (* a (cos b)))
8.0ms
a
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (sin b) b (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (cos b) (cos a) a (* (sin (neg a)) (sin b)) (sin (neg a)) (neg a) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (* a (+ 1 (/ b a))) (+ 1 (/ b a)) 1 (/ b a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (* a (- (* -1/2 (* a (cos b))) (sin b))) (- (* -1/2 (* a (cos b))) (sin b)) (* -1/2 (* a (cos b))) -1/2 (* a (cos b)))
7.0ms
b
@0
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (sin b) b (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (cos b) (cos a) a (* (sin (neg a)) (sin b)) (sin (neg a)) (neg a) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (* a (+ 1 (/ b a))) (+ 1 (/ b a)) 1 (/ b a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (* a (- (* -1/2 (* a (cos b))) (sin b))) (- (* -1/2 (* a (cos b))) (sin b)) (* -1/2 (* a (cos b))) -1/2 (* a (cos b)))

rewrite1.5s (13%)

Memory
43.8MiB live, 1 072.4MiB allocated; 221ms collecting garbage
Counts
36 → 1 006
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))
(sin.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))))))
(/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))))
(cos.f64 #s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
(/.f64 b a)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))))
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))
(*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b)))
#s(literal -1/2 binary64)
(*.f64 a (cos.f64 b))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) r))
(*.f64 (neg.f64 r) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)) #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) (neg.f64 #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(neg.f64 (*.f64 r (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 a b)))))
(neg.f64 (*.f64 (sin.f64 b) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 a b))) r))
(neg.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b)))
r
(*.f64 r #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) r)
(+.f64 r (*.f64 #s(literal 0 binary64) r))
(+.f64 r (*.f64 r #s(literal 0 binary64)))
(/.f64 (*.f64 r #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 r #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) r))
(fma.f64 r #s(literal 1 binary64) (*.f64 r #s(literal 0 binary64)))
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(neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (-.f64 (neg.f64 a) (-.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (fabs.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) b))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (neg.f64 b)))
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (-.f64 (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
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(-.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (neg.f64 (*.f64 (cos.f64 b) #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 b)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(cos.f64 b)
(cos.f64 (fabs.f64 b))
(cos.f64 (neg.f64 b))
(cos.f64 (neg.f64 (fabs.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 b))))
(fma.f64 (sin.f64 (neg.f64 b)) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fabs.f64 b)) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 b) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 b) (*.f64 (sin.f64 b) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 b) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))
(sin.f64 (+.f64 (fabs.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(-.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (neg.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 a)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(cos.f64 a)
(cos.f64 (fabs.f64 a))
(cos.f64 (neg.f64 a))
(cos.f64 (+.f64 (+.f64 a (PI.f64)) (PI.f64)))
(cos.f64 (neg.f64 (fabs.f64 a)))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (fabs.f64 a) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (/.f64 (+.f64 (fma.f64 a #s(literal 2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (-.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 a))))
(fma.f64 (sin.f64 (fabs.f64 a)) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (neg.f64 a)) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(fma.f64 (cos.f64 a) #s(literal 1 binary64) (*.f64 (sin.f64 a) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 a) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 a) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (cos.f64 a)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))
(sin.f64 (+.f64 (fabs.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a (PI.f64))) (PI.f64)))
(sin.f64 (+.f64 (-.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) a) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a (PI.f64)))))
a
(*.f64 a #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) a)
(+.f64 a (*.f64 #s(literal 0 binary64) a))
(+.f64 a (*.f64 a #s(literal 0 binary64)))
(/.f64 (+.f64 a a) #s(literal 2 binary64))
(fma.f64 a #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal 0 binary64) a))
(fma.f64 #s(literal 1 binary64) a (*.f64 a #s(literal 0 binary64)))
(neg.f64 (neg.f64 a))
(*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))
(*.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))
(*.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))))
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(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (neg.f64 a) b) (-.f64 a b)) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (-.f64 (neg.f64 a) b) (-.f64 b a)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) (neg.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 (-.f64 b a))) #s(literal 2 binary64)))
(-.f64 (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (neg.f64 (neg.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (PI.f64)) b)) (cos.f64 (+.f64 (+.f64 a (PI.f64)) b))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 b a)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 a (+.f64 b (PI.f64)))) (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 a (PI.f64)))) (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 b (PI.f64)))) (cos.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 b (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(fma.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 (-.f64 b a))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
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(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (sin.f64 a)))
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))
(cos.f64 (-.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (fabs.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(fma.f64 (sin.f64 a) (cos.f64 (PI.f64)) (*.f64 (cos.f64 a) (sin.f64 (PI.f64))))
(fma.f64 (cos.f64 a) #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(neg.f64 (sin.f64 a))
(sin.f64 (neg.f64 a))
(sin.f64 (+.f64 a (PI.f64)))
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(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) a) (*.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 a a)))
(fma.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (cos.f64 b) (*.f64 (sin.f64 (neg.f64 b)) a))
(fma.f64 (*.f64 a (cos.f64 b)) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 (neg.f64 b)) a))
(fma.f64 a (sin.f64 (neg.f64 b)) (*.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 a a)))
(fma.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 a a) (*.f64 (sin.f64 (neg.f64 b)) a))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (sin.f64 (neg.f64 b)) a))
(fma.f64 (cos.f64 b) (*.f64 (*.f64 a #s(literal -1/2 binary64)) a) (*.f64 (sin.f64 (neg.f64 b)) a))
(fma.f64 (sin.f64 (neg.f64 b)) a (*.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 a a)))
(fma.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) a (*.f64 (sin.f64 (neg.f64 b)) a))
(fma.f64 a (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) (*.f64 (sin.f64 (neg.f64 b)) a))
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a (cos.f64 b)) (*.f64 (sin.f64 (neg.f64 b)) a))
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (*.f64 (neg.f64 (*.f64 a #s(literal -1/2 binary64))) (cos.f64 b)) (neg.f64 a)))
(fma.f64 (neg.f64 a) (sin.f64 b) (*.f64 (neg.f64 a) (*.f64 (neg.f64 (*.f64 a #s(literal -1/2 binary64))) (cos.f64 b))))
(neg.f64 (*.f64 (-.f64 (sin.f64 b) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b))) a))
(+.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) (sin.f64 (neg.f64 b)))
(+.f64 (sin.f64 (neg.f64 b)) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)))
(+.f64 (sin.f64 (neg.f64 b)) (neg.f64 (*.f64 (neg.f64 (*.f64 a #s(literal -1/2 binary64))) (cos.f64 b))))
(-.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) (sin.f64 b))
(-.f64 (sin.f64 (neg.f64 b)) (*.f64 (neg.f64 (*.f64 a #s(literal -1/2 binary64))) (cos.f64 b)))
(fma.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) a (sin.f64 (neg.f64 b)))
(fma.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) #s(literal 1 binary64) (sin.f64 (neg.f64 b)))
(fma.f64 (*.f64 a (cos.f64 b)) #s(literal -1/2 binary64) (sin.f64 (neg.f64 b)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b)) (sin.f64 (neg.f64 b)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) (sin.f64 (neg.f64 b)))
(fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 (neg.f64 b)))
(fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (sin.f64 (neg.f64 b)))
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (sin.f64 (neg.f64 b)))
(fma.f64 (*.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) #s(literal 1 binary64)) a (sin.f64 (neg.f64 b)))
(fma.f64 a (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 b)))
(neg.f64 (-.f64 (sin.f64 b) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b))))
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b))
(*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b)))
(*.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) a)
(*.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) #s(literal 1 binary64))
(*.f64 (*.f64 a (cos.f64 b)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) #s(literal 1 binary64)) a)
(*.f64 a (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 a #s(literal -1/2 binary64))) (*.f64 (*.f64 (cos.f64 b) #s(literal 1 binary64)) (*.f64 a #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) #s(literal 0 binary64))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64))))
(fma.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 b) #s(literal 1 binary64)) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64))))
#s(literal -1/2 binary64)
(*.f64 a (cos.f64 b))
(*.f64 (cos.f64 b) a)
(*.f64 (*.f64 (cos.f64 b) #s(literal 1 binary64)) a)
(*.f64 (*.f64 a (cos.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a (cos.f64 b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) a) (*.f64 a (cos.f64 b)))
(+.f64 (*.f64 a (*.f64 (sin.f64 b) #s(literal 0 binary64))) (*.f64 a (cos.f64 b)))
(fma.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) a (*.f64 a (cos.f64 b)))
(fma.f64 a (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 a (cos.f64 b)))

eval230.0ms (2%)

Memory
-47.5MiB live, 155.3MiB allocated; 63ms collecting garbage
Compiler

Compiled 14 966 to 6 438 computations (57% saved)

prune81.0ms (0.7%)

Memory
16.9MiB live, 64.4MiB allocated; 2ms collecting garbage
Pruning

53 alts after pruning (51 fresh and 2 done)

PrunedKeptTotal
New1 210411 251
Fresh91019
Picked325
Done000
Total1 222531 275
Accuracy
99.8%
Counts
1 275 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
76.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))
66.4%
(*.f64 (sin.f64 (/.f64 (*.f64 b a) a)) (/.f64 r (cos.f64 (+.f64 a (/.f64 (*.f64 b a) a)))))
9.0%
(*.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (/.f64 r (cos.f64 (+.f64 a b))))
62.2%
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))) (/.f64 r (cos.f64 (+.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))))))
62.7%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b))))
76.8%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) r))
50.8%
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (fma.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
54.9%
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
11.1%
(*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
9.0%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
77.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (+.f64 a (PI.f64))) (sin.f64 b)))))
77.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 a) (PI.f64)))) (sin.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
78.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (sin.f64 b)))))
62.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 b)))))
68.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b)))))
64.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg a)) (sin b)) (*.f64 b (sin.f64 (neg.f64 a)))))))
60.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
63.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
77.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
41.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (neg.f64 b) (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))))
41.7%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
60.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 a b)))))))
47.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (*.f64 a (/.f64 (/.f64 (+.f64 a b) a) a)))))))
50.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a #s(approx (+ 1 (/ b a)) (/.f64 b a)))))))
62.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
60.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 b) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b)))))))
52.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (sin.f64 (neg.f64 a)))))))
60.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))))
59.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
54.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
36.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
32.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) a))) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
50.7%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64))))))))))
50.6%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
50.8%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
99.4%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))))
62.8%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
43.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
43.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) r) (cos.f64 a)))
50.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
36.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
36.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
35.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
35.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
36.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
Compiler

Compiled 1 739 to 1 650 computations (5.1% saved)

series696.0ms (6.2%)

Memory
18.2MiB live, 207.2MiB allocated; 21ms collecting garbage
Counts
43 → 153
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64)))
(*.f64 b r)
#s(approx (cos a) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))
#s(literal -1 binary64)
(*.f64 a b)
(*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a))))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))
(+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) a)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b)))
(*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b))
#s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal -1 binary64) a)
Outputs
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
#s(approx r r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
#s(approx (/ (* b r) (cos a)) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (* b r) (*.f64 b r))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 r (*.f64 (sin.f64 b) (sin.f64 (neg.f64 b))))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (*.f64 (sin.f64 b) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))) (/.f64 (*.f64 r (*.f64 (sin.f64 b) (sin.f64 (neg.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (*.f64 (sin.f64 b) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))) (cos.f64 b)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 r (*.f64 (sin.f64 b) (sin.f64 (neg.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (*.f64 (sin.f64 b) (sin.f64 (neg.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (*.f64 (sin.f64 b) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))) (/.f64 (*.f64 r (*.f64 (sin.f64 b) (sin.f64 (neg.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 (sin.f64 b) (sin.f64 (neg.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 b) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 (neg.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 b) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))))) (cos.f64 b)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (sin.f64 b) (sin.f64 (neg.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 b) (sin.f64 (neg.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 b) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 (neg.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (+.f64 (cos.f64 b) (*.f64 a (sin.f64 (neg.f64 b)))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (+.f64 (cos.f64 b) (*.f64 a (+.f64 (sin.f64 (neg.f64 b)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b)))))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (+.f64 (cos.f64 b) (*.f64 a (+.f64 (sin.f64 (neg.f64 b)) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal -1/6 binary64) (*.f64 a (sin.f64 (neg.f64 b))))))))))
#s(approx (sin a) a)
#s(approx (sin a) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (sin a) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin a) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (cos.f64 b)))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (cos.f64 b)))))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (cos.f64 b)) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))))))))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))) (cos.f64 b)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (/ (* b r) (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b r)) (*.f64 b r)))
#s(approx (/ (* b r) (cos a)) (fma.f64 b r (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 b r) (*.f64 #s(literal 1/24 binary64) (*.f64 b r))))) (*.f64 #s(literal -1/2 binary64) (*.f64 b r))))))
#s(approx (/ (* b r) (cos a)) (fma.f64 b r (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 b r) (fma.f64 #s(literal 1/48 binary64) (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 b r) (*.f64 #s(literal 1/24 binary64) (*.f64 b r)))))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 b r) (*.f64 #s(literal 1/24 binary64) (*.f64 b r))))) (*.f64 #s(literal -1/2 binary64) (*.f64 b r))))))
#s(approx (/ (sin b) (cos (+ a b))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))))) (cos.f64 b)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b)))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b))))) (sin.f64 b)))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 (cos.f64 b) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b)))))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a b))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal -1/2 binary64) a)))))
#s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b)))
#s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 a (fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal -1/2 binary64) a))))
#s(approx (* a b) (*.f64 a b))
#s(approx (* -1/2 (pow a 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))
#s(approx (pow a 2) (pow.f64 a #s(literal 2 binary64)))
#s(approx (* a (- (* -1/2 (* a (cos b))) (sin b))) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b))))
#s(approx (* a (- (* -1/2 (* a (cos b))) (sin b))) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))))))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1 binary64) (sin.f64 b)))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))
#s(approx (* -1/2 a) (*.f64 #s(literal -1/2 binary64) a))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 b) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b)))))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b)) (*.f64 #s(literal 1/6 binary64) (sin.f64 b)))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 b) (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b))))))))))
#s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a))
#s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
#s(approx (sin a) (sin.f64 a))
#s(approx (* (cos a) (cos b)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (/ (sin 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 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (cos.f64 b))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (/.f64 (cos.f64 b) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (sin.f64 b) a))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
#s(approx (sin (neg a)) (sin.f64 (neg.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) a))) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) a)) a)) #s(literal 1/2 binary64))))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (cos.f64 b) (/.f64 (sin.f64 b) a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a))))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a)))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a))))
#s(approx (sin (neg a)) (sin.f64 (*.f64 #s(literal -1 binary64) a)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (cos.f64 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
#s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
#s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (cos.f64 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (+.f64 (cos.f64 a) (*.f64 #s(literal -1 binary64) (*.f64 b (sin.f64 a)))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (+.f64 (cos.f64 a) (*.f64 b (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (+.f64 (cos.f64 a) (*.f64 b (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a)))))))))
#s(approx (sin (neg b)) (*.f64 #s(literal -1 binary64) b))
#s(approx (sin (neg b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sin (neg b)) (*.f64 b (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (sin (neg b)) (*.f64 b (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (cos.f64 a)))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 a) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (cos.f64 a)))))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 a) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (cos.f64 a)) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))))))))
#s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64)))))
#s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a))))) (sin.f64 a)))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 b (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a b) (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
#s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (* a (- (* -1/2 (* a (cos b))) (sin b))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))))))
#s(approx (* a (- (* -1/2 (* a (cos b))) (sin b))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 a b) (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (fma.f64 #s(literal -1/2 binary64) a (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a b)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (fma.f64 #s(literal -1/2 binary64) a (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) a))) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 r (sin.f64 (neg.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 (neg.f64 a)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (cos.f64 a))))) (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 (neg.f64 a)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (cos.f64 a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (sin.f64 (neg.f64 a)))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal -1/6 binary64) (*.f64 b (sin.f64 (neg.f64 a))))))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (sin.f64 (neg.f64 a))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 (neg.f64 a)))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 (neg.f64 a)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 (neg.f64 a)))))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 (neg.f64 a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 (neg.f64 a))) (*.f64 #s(literal 1/120 binary64) (sin.f64 (neg.f64 a))))))))))
#s(approx (sin b) (sin.f64 b))
#s(approx (sin (neg b)) (sin.f64 (neg.f64 b)))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 b (fma.f64 #s(literal -1 binary64) a (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b) (/.f64 #s(literal 1 binary64) b)))))
#s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)))))
#s(approx (* a (- (* -1/2 (* a (cos b))) (sin b))) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal -1 binary64) b))))))
#s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal -1 binary64) b))))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal -1 binary64) b)))))
#s(approx (sin (neg b)) (sin.f64 (*.f64 #s(literal -1 binary64) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))) b))))))
#s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
a
@-inf
((* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (sin b) b (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (sin (neg b)) (neg b) (sin a) a (* (cos a) (cos b)) (cos a) (cos b) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (cos a) 1 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (+ (* -1 (* a b)) (* -1/2 (pow a 2))) -1 (* a b) (* -1/2 (pow a 2)) -1/2 (pow a 2) 2 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (* a (- (* -1/2 (* a (cos b))) (sin b))) (- (* -1/2 (* a (cos b))) (sin b)) (* -1/2 a) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (* (sin (neg a)) (sin b)) (sin (neg a)) (* -1 a))
8.0ms
a
@inf
((* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (sin b) b (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (sin (neg b)) (neg b) (sin a) a (* (cos a) (cos b)) (cos a) (cos b) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (cos a) 1 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (+ (* -1 (* a b)) (* -1/2 (pow a 2))) -1 (* a b) (* -1/2 (pow a 2)) -1/2 (pow a 2) 2 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (* a (- (* -1/2 (* a (cos b))) (sin b))) (- (* -1/2 (* a (cos b))) (sin b)) (* -1/2 a) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (* (sin (neg a)) (sin b)) (sin (neg a)) (* -1 a))
7.0ms
r
@-inf
((* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (sin b) b (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (sin (neg b)) (neg b) (sin a) a (* (cos a) (cos b)) (cos a) (cos b) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (cos a) 1 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (+ (* -1 (* a b)) (* -1/2 (pow a 2))) -1 (* a b) (* -1/2 (pow a 2)) -1/2 (pow a 2) 2 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (* a (- (* -1/2 (* a (cos b))) (sin b))) (- (* -1/2 (* a (cos b))) (sin b)) (* -1/2 a) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (* (sin (neg a)) (sin b)) (sin (neg a)) (* -1 a))
6.0ms
r
@inf
((* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (sin b) b (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (sin (neg b)) (neg b) (sin a) a (* (cos a) (cos b)) (cos a) (cos b) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (cos a) 1 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (+ (* -1 (* a b)) (* -1/2 (pow a 2))) -1 (* a b) (* -1/2 (pow a 2)) -1/2 (pow a 2) 2 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (* a (- (* -1/2 (* a (cos b))) (sin b))) (- (* -1/2 (* a (cos b))) (sin b)) (* -1/2 a) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (* (sin (neg a)) (sin b)) (sin (neg a)) (* -1 a))
6.0ms
b
@-inf
((* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (sin b) b (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (sin (neg b)) (neg b) (sin a) a (* (cos a) (cos b)) (cos a) (cos b) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (cos a) 1 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (+ (* -1 (* a b)) (* -1/2 (pow a 2))) -1 (* a b) (* -1/2 (pow a 2)) -1/2 (pow a 2) 2 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (* a (- (* -1/2 (* a (cos b))) (sin b))) (- (* -1/2 (* a (cos b))) (sin b)) (* -1/2 a) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (* (sin (neg a)) (sin b)) (sin (neg a)) (* -1 a))

rewrite1.7s (14.8%)

Memory
-5.5MiB live, 529.7MiB allocated; 162ms collecting garbage
Counts
43 → 698
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64)))
(*.f64 b r)
#s(approx (cos a) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))
#s(literal -1 binary64)
(*.f64 a b)
(*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a))))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))
(+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) a)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b)))
(*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b))
#s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal -1 binary64) a)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 (*.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) r))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) (neg.f64 #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 r (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) r))
r
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) (sin.f64 (neg.f64 b)))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 b) (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 b))
(+.f64 (sin.f64 b) (*.f64 (sin.f64 b) #s(literal 0 binary64)))
(/.f64 (*.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64))
(cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 b (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)))
(fma.f64 (sin.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 b) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sin.f64 b) (*.f64 (sin.f64 b) #s(literal 0 binary64)))
(neg.f64 (sin.f64 (neg.f64 b)))
(sin.f64 b)
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(sin.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))
(sin.f64 (neg.f64 (+.f64 b (PI.f64))))
b
(neg.f64 (neg.f64 b))
(*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
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a
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(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1 binary64))) (sqrt.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1 binary64))) (sqrt.f64 #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) #s(literal 0 binary64))
(neg.f64 (neg.f64 #s(literal 2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* (* -1/2 a) (cos b)) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* (* -1/2 a) (cos b)) (sin b)) (*.f64 #s(literal -1/2 binary64) a))))))
#s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* (* -1/2 a) (cos b)) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))
(+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* (* -1/2 a) (cos b)) (sin b)) (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 a #s(approx (- (* (* -1/2 a) (cos b)) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (- (* (* -1/2 a) (cos b)) (sin b)) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) a)
(*.f64 a #s(literal -1/2 binary64))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (neg.f64 a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (neg.f64 a)) (sin.f64 b))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (neg.f64 a)) (sin.f64 b)))
(*.f64 #s(approx (sin (neg a)) (neg.f64 a)) (sin.f64 b))
#s(approx (sin (neg a)) (neg.f64 a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)

eval158.0ms (1.4%)

Memory
-14.8MiB live, 119.7MiB allocated; 20ms collecting garbage
Compiler

Compiled 12 453 to 5 256 computations (57.8% saved)

prune65.0ms (0.6%)

Memory
0.2MiB live, 54.7MiB allocated; 8ms collecting garbage
Pruning

58 alts after pruning (53 fresh and 5 done)

PrunedKeptTotal
New985171 002
Fresh103646
Picked235
Done022
Total997581 055
Accuracy
99.8%
Counts
1 055 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
76.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
66.4%
(*.f64 (sin.f64 (/.f64 (*.f64 b a) a)) (/.f64 r (cos.f64 (+.f64 a (/.f64 (*.f64 b a) a)))))
9.0%
(*.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (/.f64 r (cos.f64 (+.f64 a b))))
62.2%
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))) (/.f64 r (cos.f64 (+.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))))))
62.7%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b))))
76.8%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) r))
50.8%
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (fma.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
54.9%
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
11.1%
(*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
9.0%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
99.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
98.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 (+.f64 (+.f64 a (PI.f64)) (PI.f64))) (*.f64 (cos.f64 a) (cos.f64 b)))))
77.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 (+.f64 (neg.f64 a) (PI.f64))) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
60.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (cos.f64 b)))))
77.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (+.f64 a (PI.f64))) (sin.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
78.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (sin.f64 b)))))
62.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 b)))))
64.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg a)) (sin b)) (*.f64 b (sin.f64 (neg.f64 a)))))))
60.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
60.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b)))))
63.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
77.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64))) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
41.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (neg.f64 b) (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))))
41.7%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))))
60.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 a b)))))))
47.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (*.f64 a (/.f64 (/.f64 (+.f64 a b) a) a)))))))
50.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a #s(approx (+ 1 (/ b a)) (/.f64 b a)))))))
62.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
60.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (+.f64 (cos.f64 b) (*.f64 a (sin.f64 (neg.f64 b)))))))
52.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (sin.f64 (neg.f64 a)))))))
59.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
35.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 #s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))))) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
54.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
37.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
32.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) a))) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
8.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
50.7%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64))))))))))
50.6%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
35.6%
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
35.5%
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
50.8%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
99.4%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
62.8%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
43.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
50.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
36.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
36.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
35.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
35.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
36.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
Compiler

Compiled 1 987 to 1 894 computations (4.7% saved)

series973.0ms (8.6%)

Memory
31.1MiB live, 965.7MiB allocated; 145ms collecting garbage
Counts
46 → 180
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 b r)
#s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64)))))))
#s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
#s(literal -1 binary64)
(/.f64 b a)
#s(literal 1/2 binary64)
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 b a)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))))
(fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))
(sin.f64 (neg.f64 a))
(neg.f64 a)
Outputs
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx r r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
#s(approx (/ (* b r) (cos a)) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (* b r) (*.f64 b r))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))) (cos.f64 b)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
#s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))))) (cos.f64 b)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 b))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (+.f64 (cos.f64 b) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b)))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b))))) (sin.f64 b)))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (cos.f64 b)))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (cos.f64 b)))))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (cos.f64 b)) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))))))))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx a a)
#s(approx (* (sin a) (sin b)) (*.f64 a (sin.f64 b)))
#s(approx (* (sin a) (sin b)) (*.f64 a (+.f64 (sin.f64 b) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b))))))
#s(approx (* (sin a) (sin b)) (*.f64 a (+.f64 (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b))))))))
#s(approx (* (sin a) (sin b)) (*.f64 a (+.f64 (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b)) (*.f64 #s(literal 1/120 binary64) (sin.f64 b)))))))))
#s(approx (sin a) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (sin a) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin a) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (* b r) (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b r)) (*.f64 b r)))
#s(approx (/ (* b r) (cos a)) (fma.f64 b r (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 b r) (*.f64 #s(literal 1/24 binary64) (*.f64 b r))))) (*.f64 #s(literal -1/2 binary64) (*.f64 b r))))))
#s(approx (/ (* b r) (cos a)) (fma.f64 b r (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 b r) (fma.f64 #s(literal 1/48 binary64) (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 b r) (*.f64 #s(literal 1/24 binary64) (*.f64 b r)))))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 b r) (*.f64 #s(literal 1/24 binary64) (*.f64 b r))))) (*.f64 #s(literal -1/2 binary64) (*.f64 b r))))))
#s(approx (* -1/2 (pow a 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))
#s(approx (pow a 2) (pow.f64 a #s(literal 2 binary64)))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 (cos.f64 b) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b)))))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a b))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal -1/2 binary64) a)))))
#s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 a b)))
#s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 a (fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal -1/2 binary64) a))))
#s(approx (- (* -1 (/ b a)) 1/2) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (- (* -1 (/ b a)) 1/2) (/.f64 (fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal -1/2 binary64) a)) a))
#s(approx (/ b a) (/.f64 b a))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 r (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b)))) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (*.f64 (pow.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (sin.f64 b))) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (/.f64 (*.f64 r (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b))) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (*.f64 (pow.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (sin.f64 b))) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 r (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b))) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b))) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (*.f64 (pow.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (sin.f64 b))) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (/.f64 (*.f64 r (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b))) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b))) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (fma.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (/.f64 (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b)) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b)) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b)) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (/.f64 (*.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b)) (pow.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (+ b a) (/ (PI) 2))) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (+ b a) (/ (PI) 2))) (+.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 a (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (+ b a) (/ (PI) 2))) (+.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 a (+.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 a (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (+ b a) (/ (PI) 2))) (+.f64 (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 a (+.f64 (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 a (cos.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (+ b a) (/ (PI) 2)) (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (+ b a) (/ (PI) 2)) (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 a b))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 b) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b)))))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b)) (*.f64 #s(literal 1/6 binary64) (sin.f64 b)))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 b) (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sin.f64 b))))))))))
#s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a))
#s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
#s(approx (* (cos a) (cos b)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (+ 1 (* -1/2 (pow a 2))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#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 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (cos.f64 b))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (/.f64 (cos.f64 b) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (sin.f64 b) a))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- (* -1 (/ b a)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* -1 (/ b a)) 1/2) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64)))
#s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (+ b a) (/ (PI) 2))) (sin.f64 (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ (+ b a) (/ (PI) 2)) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 b a)))))
#s(approx (+ b a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
#s(approx (sin (neg a)) (sin.f64 (neg.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) a))) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) a)) a)) #s(literal 1/2 binary64))))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) a)))))
#s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) a)))))
#s(approx (sin (+ (+ b a) (/ (PI) 2))) (sin.f64 (-.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) a))))
#s(approx (+ (+ b a) (/ (PI) 2)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) #s(literal 1 binary64)))))
#s(approx (+ b a) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a))))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a)))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1 binary64) a))))
#s(approx (sin (neg a)) (sin.f64 (*.f64 #s(literal -1 binary64) a)))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (cos.f64 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
#s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
#s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (cos.f64 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (+.f64 (cos.f64 a) (*.f64 #s(literal -1 binary64) (*.f64 b (sin.f64 a)))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a))))) (sin.f64 a)))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (cos.f64 a)))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 a) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (cos.f64 a)))))))
#s(approx (* (cos a) (cos b)) (+.f64 (cos.f64 a) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (cos.f64 a)) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))))))))
#s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64)))))
#s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (sin a) (sin b)) (*.f64 b (sin.f64 a)))
#s(approx (* (sin a) (sin b)) (*.f64 b (+.f64 (sin.f64 a) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 a))))))
#s(approx (* (sin a) (sin b)) (*.f64 b (+.f64 (sin.f64 a) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 a) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 a))))))))
#s(approx (* (sin a) (sin b)) (*.f64 b (+.f64 (sin.f64 a) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 a) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 a)) (*.f64 #s(literal 1/120 binary64) (sin.f64 a)))))))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 b (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a b) (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
#s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 r (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 r (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (/.f64 (*.f64 r (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 r (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 r (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (*.f64 #s(literal -1/6 binary64) (/.f64 r (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (/.f64 (*.f64 r (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 r (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (/.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (/.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (sin (+ (+ b a) (/ (PI) 2))) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (+ b a) (/ (PI) 2))) (+.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 b (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (+ b a) (/ (PI) 2))) (+.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 b (+.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (+ b a) (/ (PI) 2))) (+.f64 (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 b (+.f64 (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 b (cos.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (+ b a) (/ (PI) 2)) (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 r (sin.f64 (neg.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 (neg.f64 a)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (cos.f64 a))))) (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (/.f64 (*.f64 r (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 (neg.f64 a)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (cos.f64 a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (sin.f64 (neg.f64 a)))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))))))
#s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal -1/6 binary64) (*.f64 b (sin.f64 (neg.f64 a))))))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (sin.f64 (neg.f64 a))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 (neg.f64 a)))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 (neg.f64 a)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 (neg.f64 a)))))))))
#s(approx (* (sin (neg a)) (sin b)) (*.f64 b (+.f64 (sin.f64 (neg.f64 a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 (neg.f64 a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sin.f64 (neg.f64 a))) (*.f64 #s(literal 1/120 binary64) (sin.f64 (neg.f64 a))))))))))
#s(approx (sin b) (sin.f64 b))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 b (fma.f64 #s(literal -1 binary64) a (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b) (/.f64 #s(literal 1 binary64) b)))))
#s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)))))
#s(approx (- (* -1 (/ b a)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (+ (+ b a) (/ (PI) 2)) (*.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 a b)))))
#s(approx (+ b a) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))) b))))))
#s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b))))))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) b)))))
#s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) b)))))
#s(approx (sin (+ (+ b a) (/ (PI) 2))) (sin.f64 (-.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) b))))
#s(approx (+ (+ b a) (/ (PI) 2)) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)) #s(literal 1 binary64)))))
#s(approx (+ b a) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
a
@inf
((* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (sin b) b (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (cos a) (+ 1 (* -1/2 (pow a 2))) 1 (* -1/2 (pow a 2)) -1/2 (pow a 2) 2 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (- (* -1 (/ b a)) 1/2) (* -1 (/ b a)) -1 (/ b a) 1/2 (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (sin (+ (+ b a) (/ (PI) 2))) (+ (+ b a) (/ (PI) 2)) (+ b a) (/ (PI) 2) (PI) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (* (sin (neg a)) (sin b)) (sin (neg a)) (neg a))
9.0ms
a
@0
((* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (sin b) b (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (cos a) (+ 1 (* -1/2 (pow a 2))) 1 (* -1/2 (pow a 2)) -1/2 (pow a 2) 2 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (- (* -1 (/ b a)) 1/2) (* -1 (/ b a)) -1 (/ b a) 1/2 (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (sin (+ (+ b a) (/ (PI) 2))) (+ (+ b a) (/ (PI) 2)) (+ b a) (/ (PI) 2) (PI) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (* (sin (neg a)) (sin b)) (sin (neg a)) (neg a))
9.0ms
b
@-inf
((* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (sin b) b (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (cos a) (+ 1 (* -1/2 (pow a 2))) 1 (* -1/2 (pow a 2)) -1/2 (pow a 2) 2 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (- (* -1 (/ b a)) 1/2) (* -1 (/ b a)) -1 (/ b a) 1/2 (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (sin (+ (+ b a) (/ (PI) 2))) (+ (+ b a) (/ (PI) 2)) (+ b a) (/ (PI) 2) (PI) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (* (sin (neg a)) (sin b)) (sin (neg a)) (neg a))
9.0ms
b
@inf
((* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (sin b) b (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (cos a) (+ 1 (* -1/2 (pow a 2))) 1 (* -1/2 (pow a 2)) -1/2 (pow a 2) 2 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (- (* -1 (/ b a)) 1/2) (* -1 (/ b a)) -1 (/ b a) 1/2 (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (sin (+ (+ b a) (/ (PI) 2))) (+ (+ b a) (/ (PI) 2)) (+ b a) (/ (PI) 2) (PI) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (* (sin (neg a)) (sin b)) (sin (neg a)) (neg a))
7.0ms
a
@-inf
((* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (sin b) b (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (* r (/ (sin b) (cos (+ a b)))) (/ (* b r) (cos a)) (* b r) (cos a) (+ 1 (* -1/2 (pow a 2))) 1 (* -1/2 (pow a 2)) -1/2 (pow a 2) 2 (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (- (* -1 (/ b a)) 1/2) (* -1 (/ b a)) -1 (/ b a) 1/2 (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (sin (+ (+ b a) (/ (PI) 2))) (+ (+ b a) (/ (PI) 2)) (+ b a) (/ (PI) 2) (PI) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (* (sin (neg a)) (sin b)) (sin (neg a)) (neg a))

rewrite768.0ms (6.8%)

Memory
56.2MiB live, 743.1MiB allocated; 246ms collecting garbage
Counts
46 → 333
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 b r)
#s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64)))))))
#s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))
#s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
#s(literal -1 binary64)
(/.f64 b a)
#s(literal 1/2 binary64)
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 b a)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))))
(fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))
(sin.f64 (neg.f64 a))
(neg.f64 a)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) r) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 (neg.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 b a)))))
r
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(sin.f64 b)
b
(+.f64 (*.f64 (sin.f64 (+.f64 b a)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 b a)) #s(literal 0 binary64)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)) (neg.f64 (*.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(-.f64 (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (sin.f64 (+.f64 b a)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 (+.f64 b a)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (*.f64 (sin.f64 (+.f64 b a)) #s(literal 0 binary64)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)) #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64) (*.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64) (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (fabs.f64 (+.f64 b a)))
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 b a))))
(cos.f64 (neg.f64 (fabs.f64 (+.f64 b a))))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (neg.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 (+.f64 b a)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64) (*.f64 (sin.f64 (+.f64 b a)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 (+.f64 b a)) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))
(sin.f64 (+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (+.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) b)) (cos.f64 (-.f64 (fabs.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) (fabs.f64 b))) (cos.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) (neg.f64 b))) (cos.f64 (-.f64 (fabs.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (fabs.f64 b))) (cos.f64 (-.f64 (neg.f64 a) (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) a)) (cos.f64 (-.f64 (fabs.f64 b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (fabs.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (fabs.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (fabs.f64 a)))) #s(literal 2 binary64))
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a
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(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (+.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (fma.f64 (+.f64 b a) #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)
(+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))
(+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))
(+.f64 (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a))
(-.f64 a (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 b (-.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (+.f64 b a) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (neg.f64 b) a))
(-.f64 b (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(-.f64 a (+.f64 (neg.f64 b) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 b (+.f64 (neg.f64 a) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (+.f64 b a) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 b a) (neg.f64 #s(literal 2 binary64)) (neg.f64 (PI.f64))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (+.f64 b a) #s(literal 2 binary64) (PI.f64))) (neg.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (PI.f64) (+.f64 b a))
(fma.f64 (PI.f64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 b a))
(fma.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) (+.f64 b a))
(neg.f64 (-.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b a)))
(+.f64 b a)
(+.f64 a b)
(+.f64 a (neg.f64 (neg.f64 b)))
(+.f64 b (neg.f64 (neg.f64 a)))
(-.f64 a (neg.f64 b))
(-.f64 b (neg.f64 a))
(neg.f64 (-.f64 (neg.f64 b) a))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (PI.f64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 #s(literal 2 binary64))))
(neg.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(PI.f64)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))))
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))
(*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b))
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))
(*.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))
(*.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(-.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (neg.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))
(neg.f64 (sin.f64 a))
(sin.f64 (neg.f64 a))
(sin.f64 (+.f64 a (PI.f64)))
(*.f64 a #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) a)
(neg.f64 a)

eval66.0ms (0.6%)

Memory
5.6MiB live, 97.4MiB allocated; 12ms collecting garbage
Compiler

Compiled 6 712 to 2 882 computations (57.1% saved)

prune73.0ms (0.6%)

Memory
-24.8MiB live, 116.6MiB allocated; 19ms collecting garbage
Pruning

64 alts after pruning (58 fresh and 6 done)

PrunedKeptTotal
New47322495
Fresh123648
Picked415
Done055
Total48964553
Accuracy
99.8%
Counts
553 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
76.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
9.0%
(*.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (/.f64 r (cos.f64 (+.f64 a b))))
62.2%
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))) (/.f64 r (cos.f64 (+.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))))))
62.7%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b))))
76.8%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
50.8%
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (fma.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
54.9%
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
11.1%
(*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
9.0%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
99.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
98.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 (+.f64 (+.f64 a (PI.f64)) (PI.f64))) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
62.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 b)))))
60.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
60.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (+.f64 a (PI.f64))) (sin.f64 b)))))
60.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (sin.f64 b)))))
60.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b)))))
77.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64))) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))))
77.7%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 (+.f64 (neg.f64 a) (PI.f64))) (sin.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
64.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 b (sin.f64 a))))))
60.6%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
63.9%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
41.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (neg.f64 b) (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))))
40.5%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 #s(approx (+ b a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
41.7%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ b a) (/ (PI) 2)) (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
39.9%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ b a) (/ (PI) 2)) (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
60.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 a b)))))))
47.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (*.f64 a (/.f64 (/.f64 (+.f64 a b) a) a)))))))
50.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a #s(approx (+ 1 (/ b a)) (/.f64 b a)))))))
62.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
60.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (+.f64 (cos.f64 b) (*.f64 a (sin.f64 (neg.f64 b)))))))
52.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (sin.f64 (neg.f64 a)))))))
59.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
54.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
37.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
32.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) a))) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
7.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(approx (- (* -1 (/ b a)) 1/2) #s(literal -1/2 binary64))))))))
8.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (*.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1/2 binary64)) a) a))))))
6.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) #s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
50.7%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64))))))))))
50.6%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
35.6%
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
35.5%
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
50.8%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
36.6%
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
35.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
99.4%
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
62.8%
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
99.4%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
41.5%
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
41.7%
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
36.6%
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
43.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
50.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
36.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
35.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
36.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
51.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
Compiler

Compiled 2 328 to 1 730 computations (25.7% saved)

regimes166.0ms (1.5%)

Memory
15.6MiB live, 222.2MiB allocated; 57ms collecting garbage
Counts
105 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
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(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
Calls

5 calls:

47.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
30.0ms
a
30.0ms
b
29.0ms
r
25.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
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 17 to 24 computations (-41.2% saved)

regimes154.0ms (1.4%)

Memory
-16.7MiB live, 219.8MiB allocated; 28ms collecting garbage
Counts
90 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) #s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (*.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1/2 binary64)) a) a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(approx (- (* -1 (/ b a)) 1/2) #s(literal -1/2 binary64))))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 #s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))))) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ b a) (/ (PI) 2)) (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a #s(approx (+ 1 (/ b a)) (/.f64 b a)))))))
(*.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) r))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ b a) (/ (PI) 2)) (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(*.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) (sin.f64 (+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (neg.f64 b) (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 a b)))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 #s(approx (+ b a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (*.f64 a (/.f64 (/.f64 (+.f64 a b) a) a)))))))
(*.f64 (sin.f64 (/.f64 (*.f64 b a) a)) (/.f64 r (cos.f64 (+.f64 a (/.f64 (*.f64 b a) a)))))
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))) (/.f64 r (cos.f64 (+.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (sin.f64 (neg.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (+.f64 (cos.f64 b) (*.f64 a (sin.f64 (neg.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 #s(literal -1 binary64) (*.f64 b (sin.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 b) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg a)) (sin b)) (*.f64 b (sin.f64 (neg.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64))))))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (+.f64 a (PI.f64))) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) a))) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
Calls

5 calls:

47.0ms
r
27.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
26.0ms
a
24.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
22.0ms
b
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 17 to 24 computations (-41.2% saved)

regimes180.0ms (1.6%)

Memory
6.5MiB live, 190.3MiB allocated; 41ms collecting garbage
Counts
86 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) #s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (*.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1/2 binary64)) a) a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(approx (- (* -1 (/ b a)) 1/2) #s(literal -1/2 binary64))))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 #s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))))) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ b a) (/ (PI) 2)) (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a #s(approx (+ 1 (/ b a)) (/.f64 b a)))))))
(*.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) r))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ b a) (/ (PI) 2)) (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(*.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) (sin.f64 (+.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (neg.f64 b) (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 a b)))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 #s(approx (+ b a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 a (*.f64 a (/.f64 (/.f64 (+.f64 a b) a) a)))))))
(*.f64 (sin.f64 (/.f64 (*.f64 b a) a)) (/.f64 r (cos.f64 (+.f64 a (/.f64 (*.f64 b a) a)))))
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))) (/.f64 r (cos.f64 (+.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 a) (*.f64 b (sin.f64 (neg.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (+.f64 (cos.f64 b) (*.f64 a (sin.f64 (neg.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 #s(literal -1 binary64) (*.f64 b (sin.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))) (+.f64 (cos.f64 b) (*.f64 #s(literal -1 binary64) (*.f64 a (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg a)) (sin b)) (*.f64 b (sin.f64 (neg.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 #s(literal -1 binary64) a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64))))))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 a)) #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (sin.f64 (+.f64 a (PI.f64))) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin (neg a)) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) a))) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

49.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
40.0ms
b
34.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
31.0ms
a
22.0ms
r
Results
AccuracySegmentsBranch
76.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
76.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
76.9%1r
76.9%1a
76.9%1b
Compiler

Compiled 17 to 24 computations (-41.2% saved)

regimes89.0ms (0.8%)

Memory
-2.5MiB live, 86.1MiB allocated; 23ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) #s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (*.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1/2 binary64)) a) a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(approx (- (* -1 (/ b a)) 1/2) #s(literal -1/2 binary64))))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 #s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))))) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
Calls

5 calls:

26.0ms
b
23.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
17.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
10.0ms
r
10.0ms
a
Results
AccuracySegmentsBranch
76.9%1b
76.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
76.9%1a
76.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
76.9%1r
Compiler

Compiled 17 to 24 computations (-41.2% saved)

regimes58.0ms (0.5%)

Memory
-21.5MiB live, 81.6MiB allocated; 13ms collecting garbage
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) #s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (*.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1/2 binary64)) a) a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(approx (- (* -1 (/ b a)) 1/2) #s(literal -1/2 binary64))))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 #s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))))) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
Outputs
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Calls

5 calls:

18.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
9.0ms
r
9.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
9.0ms
a
9.0ms
b
Results
AccuracySegmentsBranch
77.1%3b
77.4%3a
77.1%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
67.2%3(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
62.8%1r
Compiler

Compiled 17 to 24 computations (-41.2% saved)

regimes27.0ms (0.2%)

Memory
18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) #s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (*.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1/2 binary64)) a) a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(approx (- (* -1 (/ b a)) 1/2) #s(literal -1/2 binary64))))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 #s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))))) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Outputs
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Calls

1 calls:

24.0ms
a
Results
AccuracySegmentsBranch
77.4%3a
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) #s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (*.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1/2 binary64)) a) a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(approx (- (* -1 (/ b a)) 1/2) #s(literal -1/2 binary64))))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 #s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))))) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg a)) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
Outputs
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
Calls

1 calls:

10.0ms
a
Results
AccuracySegmentsBranch
77.4%3a
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory
-30.8MiB live, 16.0MiB allocated; 2ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) #s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (*.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1/2 binary64)) a) a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(approx (- (* -1 (/ b a)) 1/2) #s(literal -1/2 binary64))))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 #s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))))) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b))))
Outputs
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b))))
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
Calls

1 calls:

10.0ms
a
Results
AccuracySegmentsBranch
77.3%3a
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes40.0ms (0.4%)

Memory
22.8MiB live, 69.6MiB allocated; 2ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) #s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (*.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1/2 binary64)) a) a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(approx (- (* -1 (/ b a)) 1/2) #s(literal -1/2 binary64))))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 #s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))))) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
Outputs
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))))
Calls

5 calls:

9.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
7.0ms
b
7.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms
r
7.0ms
a
Results
AccuracySegmentsBranch
54.9%1r
54.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
54.9%1b
54.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
54.9%1a
Compiler

Compiled 17 to 24 computations (-41.2% saved)

regimes112.0ms (1%)

Memory
-63.2MiB live, 70.9MiB allocated; 97ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b r)))
#s(approx (* r (/ (sin b) (sin (+ (+ b a) (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r #s(approx (/ (sin b) (sin (+ (+ b a) (/ (PI) 2)))) (/.f64 b (sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) #s(approx (* (pow a 2) (- (* -1 (/ b a)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (/.f64 (*.f64 b a) a) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1 (* a b)) (* -1/2 (pow a 2))) (*.f64 #s(literal -1 binary64) (*.f64 a b))))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) (+.f64 (cos.f64 b) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)) r) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (*.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1/2 binary64)) a) a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(approx (- (* -1 (/ b a)) 1/2) #s(literal -1/2 binary64))))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 2 binary64)))))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) #s(approx (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/2 binary64))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (+.f64 #s(approx (cos b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))))) (*.f64 a #s(approx (- (* -1/2 (* a (cos b))) (sin b)) (*.f64 #s(literal -1/2 binary64) a)))))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
Calls

5 calls:

60.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
23.0ms
b
10.0ms
r
7.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms
a
Results
AccuracySegmentsBranch
51.0%1r
51.0%1b
51.0%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
51.0%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
51.0%1a
Compiler

Compiled 17 to 24 computations (-41.2% saved)

regimes12.0ms (0.1%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 b (cos.f64 a)) r))
Calls

5 calls:

2.0ms
a
2.0ms
b
2.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
2.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
2.0ms
r
Results
AccuracySegmentsBranch
51.0%1a
51.0%1b
51.0%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
51.0%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
51.0%1r
Compiler

Compiled 17 to 24 computations (-41.2% saved)

regimes11.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Accuracy

Total -1.2b remaining (-3%)

Threshold costs -1.2b (-3%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) a #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (cos (+ a b)) #s(approx (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) #s(approx (cos a) #s(literal 1 binary64))))
Calls

5 calls:

2.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
2.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
2.0ms
a
2.0ms
b
2.0ms
r
Results
AccuracySegmentsBranch
36.5%1a
36.5%1b
36.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
36.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
36.5%1r
Compiler

Compiled 17 to 24 computations (-41.2% saved)

bsearch58.0ms (0.5%)

Memory
2.4MiB live, 96.4MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
2.776490753327265e-6
111771263.93186629
30.0ms
-2.394513360141804e+26
-130.3043056426858
Samples
30.0ms187×1valid
10.0ms149×0valid
Compiler

Compiled 422 to 466 computations (-10.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-cos: 13.0ms (42% of total)
ival-sin: 8.0ms (25.8% of total)
adjust: 4.0ms (12.9% of total)
ival-add!: 2.0ms (6.5% of total)
ival-div!: 2.0ms (6.5% of total)
ival-mult!: 2.0ms (6.5% of total)

bsearch19.0ms (0.2%)

Memory
-33.6MiB live, 3.6MiB allocated; 20ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
2.776490753327265e-6
111771263.93186629
1.0ms
-2.394513360141804e+26
-130.3043056426858
Compiler

Compiled 506 to 550 computations (-8.7% saved)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.776490753327265e-6
111771263.93186629
1.0ms
-2.394513360141804e+26
-130.3043056426858
Compiler

Compiled 516 to 560 computations (-8.5% saved)

bsearch2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.776490753327265e-6
111771263.93186629
1.0ms
-2.394513360141804e+26
-130.3043056426858
Compiler

Compiled 432 to 476 computations (-10.2% saved)

derivations4.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 107 to 68 computations (36.4% saved)

preprocess218.0ms (1.9%)

Memory
-3.1MiB live, 229.4MiB allocated; 98ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 521 to 446 computations (14.4% saved)

end0.0ms (0%)

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

Profiling

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