rsin A (should all be same)

Time bar (total: 12.1s)

analyze288.0ms (2.4%)

Memory
-37.8MiB live, 384.6MiB allocated
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)

sample2.2s (18.5%)

Memory
24.4MiB live, 2 282.5MiB allocated
Samples
1.4s5 822×1valid
235.0ms2 434×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-sin: 456.0ms (33.6% of total)
ival-cos: 338.0ms (24.9% of total)
ival-add: 291.0ms (21.4% of total)
ival-div: 103.0ms (7.6% of total)
adjust: 100.0ms (7.4% of total)
ival-mult: 60.0ms (4.4% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess107.0ms (0.9%)

Memory
17.7MiB live, 54.7MiB allocated
Algorithm
egg-herbie
Rules
684×times-frac
402×associate-*r*
382×unsub-neg
370×div-sub
362×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03895
19193
219493
347793
4139493
5233993
6293693
7330793
8348993
9370693
10393593
11394193
12394193
13394993
14396993
15397793
16397793
089
1129
2159
3169
0169
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Call 2
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* (neg r) (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ (neg a) b)))
(/ (* r (sin (neg b))) (cos (+ a (neg b))))
(neg (/ (* (neg r) (sin b)) (cos (+ a b))))
(neg (/ (* r (sin b)) (cos (+ (neg a) b))))
(neg (/ (* r (sin (neg b))) (cos (+ a (neg b)))))
(/ (* a (sin b)) (cos (+ r b)))
(/ (* b (sin r)) (cos (+ a r)))
(/ (* r (sin a)) (cos (+ b a)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ b a)))
(/ (* (neg r) (sin b)) (cos (+ a b)))
(/ (* (sin b) (neg r)) (cos (+ b a)))
(/ (* r (sin b)) (cos (+ (neg a) b)))
(/ (* r (sin b)) (cos (- b a)))
(/ (* r (sin (neg b))) (cos (+ a (neg b))))
(/ (* (sin b) (neg r)) (cos (- b a)))
(neg (/ (* (neg r) (sin b)) (cos (+ a b))))
(/ (* r (sin b)) (cos (+ b a)))
(neg (/ (* r (sin b)) (cos (+ (neg a) b))))
(/ (* (sin b) (neg r)) (cos (- b a)))
(neg (/ (* r (sin (neg b))) (cos (+ a (neg b)))))
(/ (* r (sin b)) (cos (- b a)))
(/ (* a (sin b)) (cos (+ r b)))
(/ (* (sin b) a) (cos (+ r b)))
(/ (* b (sin r)) (cos (+ a r)))
(/ (* b (sin r)) (cos (+ r a)))
(/ (* r (sin a)) (cos (+ b a)))
Symmetry

(negabs r)

explain153.0ms (1.3%)

Memory
-2.9MiB live, 379.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
70109(1.7754428284654795e-181 1.550037592830358e+278 1.7248975493996565e-229)0-(cos.f64 (+.f64 a b))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-(*.f64 r (sin.f64 b))
00-0-r
00-0-b
00-0-(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1790
Confusion
Predicted +Predicted -
+700
-10977
Precision
0.39106145251396646
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7000
-109077
Precision?
0.39106145251396646
Recall?
1.0
Freqs
test
numberfreq
077
1179
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
81.0ms342×1valid
12.0ms170×0valid
Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-cos: 17.0ms (26.8% of total)
adjust: 15.0ms (23.7% of total)
ival-sin: 11.0ms (17.3% of total)
ival-mult: 11.0ms (17.3% of total)
ival-add: 5.0ms (7.9% of total)
ival-div: 4.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
10.4MiB live, 10.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
11225
21525
31625
01625
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
r
(sin b)
b
(cos (+ a b))
(+ a b)
a
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(cos (+ a b))
(cos.f64 (+.f64 b a))
(+ a b)
(+.f64 b a)
a

localize59.0ms (0.5%)

Memory
6.9MiB live, 141.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy76.0%
(cos.f64 (+.f64 a b))
Samples
42.0ms171×1valid
7.0ms85×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 13.0ms (38.9% of total)
ival-cos: 8.0ms (23.9% of total)
ival-sin: 6.0ms (17.9% of total)
adjust: 3.0ms (9% of total)
ival-add: 2.0ms (6% of total)
ival-div: 2.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-8.5MiB live, 31.0MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (* r (sin b))>
#<alt (sin b)>
#<alt (cos (+ a b))>
Outputs
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
Calls

24 calls:

TimeVariablePointExpression
3.0ms
r
@0
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
b
@inf
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
b
@0
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
r
@inf
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
a
@0
(/ (* r (sin b)) (cos (+ a b)))

rewrite482.0ms (4%)

Memory
-13.3MiB live, 458.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 510×*-lowering-*.f32
6 510×*-lowering-*.f64
3 846×accelerator-lowering-fma.f32
3 846×accelerator-lowering-fma.f64
3 176×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
13919
222919
3204719
0843419
Stop Event
iter limit
node limit
Counts
4 → 138
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(sin b)
(cos (+ a b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 r (sin.f64 b))))
(neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 r (neg.f64 (sin.f64 (neg.f64 b))))
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r)))
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 r (sin.f64 b))))
(*.f64 (sin.f64 (neg.f64 b)) (neg.f64 r))
(*.f64 (neg.f64 r) (sin.f64 (neg.f64 b)))
(*.f64 (neg.f64 (sin.f64 (neg.f64 b))) r)
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b))
(sin.f64 b)
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))
(cos.f64 (+.f64 b a))
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 a b))) (-.f64 a b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.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 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))

simplify375.0ms (3.1%)

Memory
27.5MiB live, 549.2MiB allocated
Algorithm
egg-herbie
Rules
10 934×accelerator-lowering-fma.f32
10 934×accelerator-lowering-fma.f64
4 746×*-lowering-*.f32
4 746×*-lowering-*.f64
2 894×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167960
1517928
21595886
35409885
08292853
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(/.f64 (*.f64 r b) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 (sin.f64 a) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (*.f64 a (fma.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* b r)
(*.f64 r b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))

eval28.0ms (0.2%)

Memory
4.3MiB live, 82.4MiB allocated
Compiler

Compiled 3 887 to 535 computations (86.2% saved)

prune99.0ms (0.8%)

Memory
-40.0MiB live, 129.9MiB allocated
Pruning

36 alts after pruning (36 fresh and 0 done)

PrunedKeptTotal
New19836234
Fresh000
Picked101
Done000
Total19936235
Accuracy
99.9%
Counts
235 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.1%
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
75.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
52.8%
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
52.8%
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))
53.0%
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
77.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
53.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
57.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))
98.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
77.2%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))))
75.9%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
75.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b)))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
58.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
54.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
60.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
53.5%
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
53.3%
(/.f64 (*.f64 r b) (cos.f64 a))
52.8%
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b)))
52.8%
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
75.9%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
75.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
75.8%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
75.9%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
76.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
75.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
75.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
75.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
75.9%
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
75.9%
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
36.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 1 504 to 928 computations (38.3% saved)

simplify303.0ms (2.5%)

Memory
33.0MiB live, 263.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (sin.f64 b))
cost-diff256
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
cost-diff6464
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
cost-diff7040
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
cost-diff0
(cos.f64 b)
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
cost-diff0
(cos.f64 a)
cost-diff0
(*.f64 r b)
cost-diff0
(/.f64 (*.f64 r b) (cos.f64 a))
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff6336
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Rules
4 784×accelerator-lowering-fma.f32
4 784×accelerator-lowering-fma.f64
1 968×*-lowering-*.f32
1 968×*-lowering-*.f64
1 412×/-lowering-/.f32
Iterations

Useful iterations: 18 (0.0ms)

IterNodesCost
030168
161168
2125164
3296164
4738164
51874164
62948164
74326164
85228164
95769164
106009164
116067164
126230164
136298164
146410164
156672164
166796164
176796164
187218161
08152161
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
(* r (sin b))
r
(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 b) (cos a))
(* r b)
r
b
(cos a)
a
(/ (* r (sin b)) (cos b))
(* r (sin b))
r
(sin b)
b
(cos b)
(/ (* r (sin b)) (/ 1 (/ 1 (cos (+ b a)))))
(* r (sin b))
r
(sin b)
b
(/ 1 (/ 1 (cos (+ b a))))
1
(/ 1 (cos (+ b a)))
(cos (+ b a))
(+ b a)
a
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (neg r)) -1))
(pow (/ -1 (sin b)) -1)
(/ -1 (sin b))
-1
(sin b)
b
(pow (/ (cos (+ b a)) (neg r)) -1)
(/ (cos (+ b a)) (neg r))
(cos (+ b a))
(+ b a)
a
(neg r)
r
Outputs
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (sin.f64 a)))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(sin (neg b))
(sin.f64 (neg.f64 b))
(neg b)
(neg.f64 b)
(sin a)
(sin.f64 a)
a
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos a)
(cos.f64 a)
(cos b)
(cos.f64 b)
(/ (* r b) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* r b)
(*.f64 r b)
r
b
(cos a)
(cos.f64 a)
a
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(cos b)
(cos.f64 b)
(/ (* r (sin b)) (/ 1 (/ 1 (cos (+ b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(/ 1 (/ 1 (cos (+ b a))))
(cos.f64 (+.f64 b a))
1
#s(literal 1 binary64)
(/ 1 (cos (+ b a)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
a
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (neg r)) -1))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(pow (/ -1 (sin b)) -1)
(sin.f64 (neg.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
-1
#s(literal -1 binary64)
(sin b)
(sin.f64 b)
b
(pow (/ (cos (+ b a)) (neg r)) -1)
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(/ (cos (+ b a)) (neg r))
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
a
(neg r)
(neg.f64 r)
r

localize236.0ms (1.9%)

Memory
-36.5MiB live, 379.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
accuracy99.6%
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
accuracy99.3%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
accuracy76.0%
(cos.f64 (+.f64 b a))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
accuracy76.0%
(cos.f64 (+.f64 b a))
accuracy100.0%
(sin.f64 b)
accuracy100.0%
(cos.f64 b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
accuracy100.0%
(*.f64 r b)
accuracy100.0%
(cos.f64 a)
accuracy99.8%
(/.f64 (*.f64 r b) (cos.f64 a))
accuracy99.9%
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Samples
138.0ms166×1valid
29.0ms90×0valid
Compiler

Compiled 186 to 32 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-cos: 41.0ms (30.1% of total)
ival-sin: 27.0ms (19.8% of total)
ival-pow: 24.0ms (17.6% of total)
ival-div: 18.0ms (13.2% of total)
ival-mult: 11.0ms (8.1% of total)
adjust: 8.0ms (5.9% of total)
ival-add: 4.0ms (2.9% of total)
ival-neg: 2.0ms (1.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
24.9MiB live, 100.5MiB allocated
Counts
18 → 432
Calls
Call 1
Inputs
#<alt (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))>
#<alt (* r (sin b))>
#<alt (sin b)>
#<alt (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))>
#<alt (/ (* r b) (cos a))>
#<alt (* r b)>
#<alt (cos a)>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (cos b)>
#<alt (/ 1 (/ 1 (cos (+ b a))))>
#<alt (/ (* r (sin b)) (/ 1 (/ 1 (cos (+ b a)))))>
#<alt (pow (/ -1 (sin b)) -1)>
#<alt (pow (/ (cos (+ b a)) (neg r)) -1)>
#<alt (* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (neg r)) -1))>
#<alt (/ -1 (sin b))>
#<alt (* (cos a) (cos b))>
#<alt (cos (+ b a))>
#<alt (/ 1 (cos (+ b a)))>
Outputs
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (* b r)>
#<alt (* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))>
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))>
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (* -1 b)>
#<alt (* b (- (* 1/6 (pow b 2)) 1))>
#<alt (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))>
#<alt (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (/ r (cos a)))>
#<alt (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))))>
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))))))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos b)))>
#<alt (+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))>
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))))))>
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))))))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ -1 b)>
#<alt (/ (- (* -1/6 (pow b 2)) 1) b)>
#<alt (/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)>
#<alt (/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (/ 1 (cos a))>
#<alt (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))>
#<alt (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))>
#<alt (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos b))>
#<alt (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))>
#<alt (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
Calls

108 calls:

TimeVariablePointExpression
4.0ms
r
@0
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
4.0ms
r
@0
(/ (* r b) (cos a))
3.0ms
a
@-inf
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
2.0ms
a
@0
(pow (/ (cos (+ b a)) (neg r)) -1)
2.0ms
a
@inf
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))

rewrite452.0ms (3.7%)

Memory
-9.9MiB live, 702.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 564×accelerator-lowering-fma.f32
5 564×accelerator-lowering-fma.f64
4 540×*-lowering-*.f32
4 540×*-lowering-*.f64
3 264×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030143
117087
2111587
0873287
Stop Event
iter limit
node limit
Counts
18 → 1 240
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
(* r (sin b))
(sin b)
(+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))
(/ (* r b) (cos a))
(* r b)
(cos a)
(/ (* r (sin b)) (cos b))
(cos b)
(/ 1 (/ 1 (cos (+ b a))))
(/ (* r (sin b)) (/ 1 (/ 1 (cos (+ b a)))))
(pow (/ -1 (sin b)) -1)
(pow (/ (cos (+ b a)) (neg r)) -1)
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (neg r)) -1))
(/ -1 (sin b))
(* (cos a) (cos b))
(cos (+ b a))
(/ 1 (cos (+ b a)))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))
(+.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))
(+.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a)))))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (*.f64 (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(fma.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))
(fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))
(fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(neg.f64 (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(neg.f64 (/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (*.f64 r (sin.f64 b)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 r) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (neg.f64 r) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (sin.f64 (neg.f64 b)))
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (sin.f64 (neg.f64 b))))
(*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
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(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)))

simplify368.0ms (3%)

Memory
7.7MiB live, 675.6MiB allocated
Algorithm
egg-herbie
Rules
8 564×accelerator-lowering-fma.f32
8 564×accelerator-lowering-fma.f64
7 914×*-lowering-*.f32
7 914×*-lowering-*.f64
2 352×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04894756
115274563
250464480
088464321
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(* b r)
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(* -1 b)
(* b (- (* 1/6 (pow b 2)) 1))
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (/ r (cos a)))
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))))
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))))))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos b)))
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))))))
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))))))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ -1 b)
(/ (- (* -1/6 (pow b 2)) 1) b)
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ 1 (cos a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos b))
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* b r) (cos a))
(/.f64 (*.f64 r b) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (fma.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.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)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 a (neg.f64 (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b)) (/.f64 (neg.f64 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))) (/.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)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* b r)
(*.f64 r b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 r #s(literal -1/6 binary64))) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(/ (- (* -1/6 (pow b 2)) 1) b)
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)
(/.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -7/360 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64)) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -31/15120 binary64) #s(literal -7/360 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (sin.f64 a)) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (fma.f64 a (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (sin.f64 b)) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(/ 1 (cos a))
(/.f64 #s(literal 1 binary64) (cos.f64 a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos b))
(/.f64 #s(literal 1 binary64) (cos.f64 b))
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))
(fma.f64 (sin.f64 b) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 b) (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b))) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (- b (* -1 a))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (- b (* -1 a))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (- b (* -1 a))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/ 1 (cos (- b (* -1 a))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))

eval308.0ms (2.5%)

Memory
21.3MiB live, 594.0MiB allocated
Compiler

Compiled 51 258 to 3 309 computations (93.5% saved)

prune358.0ms (3%)

Memory
-29.8MiB live, 689.3MiB allocated
Pruning

72 alts after pruning (69 fresh and 3 done)

PrunedKeptTotal
New2 035612 096
Fresh23831
Picked235
Done000
Total2 060722 132
Accuracy
100.0%
Counts
2 132 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a)))))
26.5%
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
75.8%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
53.2%
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
53.3%
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
37.4%
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (cos.f64 b))
99.5%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
55.1%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
77.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
55.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 a) (cos.f64 b))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
57.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (cos.f64 b))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
53.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
62.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
57.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
57.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
38.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
86.1%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))))
98.6%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (neg.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))
58.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))))
54.9%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
98.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a)))))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
58.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
54.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
60.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
41.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
43.1%
(/.f64 (*.f64 r (exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 b))) #s(literal -1 binary64)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
36.0%
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
53.7%
(/.f64 (*.f64 r b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
36.1%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
36.1%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
53.3%
(/.f64 (*.f64 r b) (cos.f64 a))
53.1%
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
60.4%
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
75.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
60.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
38.6%
(*.f64 (pow.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
53.8%
(*.f64 (pow.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
99.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 r)) #s(literal -1 binary64)))
99.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
58.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (neg.f64 r)) #s(literal -1 binary64)))
27.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) #s(literal -1/2 binary64)))
56.7%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 a)))
37.6%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (+.f64 #s(literal 0 binary64) (sin.f64 b))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
98.6%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
75.8%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
76.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
75.7%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
75.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
53.4%
(*.f64 (/.f64 b (cos.f64 a)) r)
60.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)) r)
53.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) b)
60.6%
(*.f64 (tan.f64 b) r)
60.5%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
53.5%
(*.f64 (neg.f64 b) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
37.9%
(*.f64 r b)
37.3%
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
37.4%
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
37.5%
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
53.3%
(*.f64 b (/.f64 r (cos.f64 a)))
26.9%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 3 242 to 2 000 computations (38.3% saved)

simplify94.0ms (0.8%)

Memory
17.4MiB live, 93.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
cost-diff1088
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64))))
cost-diff0
(cos.f64 a)
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
cost-diff0
(*.f64 r b)
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
Rules
980×accelerator-lowering-fma.f32
980×accelerator-lowering-fma.f64
824×*-lowering-*.f32
824×*-lowering-*.f64
624×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032218
167216
298216
3143216
4179216
5262216
6400216
7550216
8799216
91282216
101466216
111685216
121917216
131999216
142051216
152070216
162072216
02072212
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))
(* r (sin b))
r
(sin b)
b
(+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a)))
(cos b)
(cos a)
a
(* (sin (neg b)) (sin a))
(sin (neg b))
(neg b)
(sin a)
(* r b)
r
b
(/ (* r (sin b)) (cos a))
(* r (sin b))
r
(sin b)
b
(cos a)
a
(/ (* r (sin b)) (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2)))
(* r (sin b))
r
(sin b)
b
(/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2))
1
(pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2)
(+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))
1/2
(* 1/2 (cos (* 2 (+ b a))))
(cos (* 2 (+ b a)))
(* 2 (+ b a))
2
(+ b a)
a
-1/2
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a))))
(* r (sin b))
r
(sin b)
b
(- (* (cos a) (cos b)) (* (sin b) (sin a)))
(* (cos a) (cos b))
(cos a)
a
(cos b)
(* (sin b) (sin a))
(sin a)
Outputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos b)
(cos.f64 b)
(cos a)
(cos.f64 a)
a
(* (sin (neg b)) (sin a))
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(sin (neg b))
(sin.f64 (neg.f64 b))
(neg b)
(neg.f64 b)
(sin a)
(sin.f64 a)
(* r b)
(*.f64 r b)
r
b
(/ (* r (sin b)) (cos a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(cos a)
(cos.f64 a)
a
(/ (* r (sin b)) (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2)))
(*.f64 (*.f64 r (sin.f64 b)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 (+ b a))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))
(cos (* 2 (+ b a)))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))
(* 2 (+ b a))
(*.f64 #s(literal 2 binary64) (+.f64 b a))
2
#s(literal 2 binary64)
(+ b a)
(+.f64 b a)
a
-1/2
#s(literal -1/2 binary64)
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(- (* (cos a) (cos b)) (* (sin b) (sin a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(* (cos a) (cos b))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos a)
(cos.f64 a)
a
(cos b)
(cos.f64 b)
(* (sin b) (sin a))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin a)
(sin.f64 a)

localize219.0ms (1.8%)

Memory
0.6MiB live, 359.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
accuracy99.7%
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)))
accuracy99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
accuracy75.8%
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))
accuracy100.0%
(sin.f64 b)
accuracy100.0%
(cos.f64 a)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
accuracy100.0%
(*.f64 r b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
accuracy99.7%
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
Samples
122.0ms163×1valid
25.0ms93×0valid
Compiler

Compiled 220 to 34 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-cos: 26.0ms (23.8% of total)
ival-mult: 25.0ms (22.9% of total)
ival-sin: 21.0ms (19.2% of total)
ival-div: 11.0ms (10.1% of total)
adjust: 10.0ms (9.1% of total)
ival-pow: 7.0ms (6.4% of total)
ival-add: 6.0ms (5.5% of total)
ival-sub: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory
23.8MiB live, 96.1MiB allocated
Counts
15 → 384
Calls
Call 1
Inputs
#<alt (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))>
#<alt (* r (sin b))>
#<alt (sin b)>
#<alt (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a)))>
#<alt (* r b)>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (cos a)>
#<alt (/ (* r (sin b)) (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin b) (sin a)))>
#<alt (* (sin (neg b)) (sin a))>
#<alt (cos (* 2 (+ b a)))>
#<alt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2))>
#<alt (* (sin b) (sin a))>
Outputs
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (* r (sin b))>
#<alt (+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))>
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))>
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* b r) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))>
#<alt (* b (+ (* 1/2 (* (* b (* r (sin (* 2 a)))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))))) (* r (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))>
#<alt (* b (+ (* b (+ (* 1/2 (* (* r (sin (* 2 a))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))))) (* b (+ (* -1/2 (* (* r (+ (* -1 (/ (cos (* 2 a)) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (+ (* -1 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3)))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))))) (* -1/6 (* r (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))) (* r (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))>
#<alt (* b (+ (* b (+ (* 1/2 (* (* r (sin (* 2 a))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))))) (* b (+ (* -1/2 (* (* r (+ (* -1 (/ (cos (* 2 a)) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (+ (* -1 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3)))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))))) (+ (* -1/6 (* r (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (* b (+ (* -1/2 (* (* r (+ (* -1 (/ (* (cos (* 2 a)) (sin (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))) (+ (* -1/2 (/ (* (sin (* 2 a)) (+ (* -1 (/ (cos (* 2 a)) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (+ (* -1 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3)))))) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (+ (* 2/3 (/ (sin (* 2 a)) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (/ (* (sin (* 2 a)) (+ (* -1 (/ (cos (* 2 a)) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (* -1 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))))) (* -1/12 (* (* r (sin (* 2 a))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3)))))))))))) (* r (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))>
#<alt (+ (* 1/2 (* (* a (* r (* (sin b) (sin (* 2 b))))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))))) (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b))))))))>
#<alt (+ (* a (+ (* -1/2 (* (* a (* r (* (sin b) (+ (* -1 (/ (cos (* 2 b)) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (+ (* -1 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3)))))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))))) (* 1/2 (* (* r (* (sin b) (sin (* 2 b)))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))))))) (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b))))))))>
#<alt (+ (* a (+ (* 1/2 (* (* r (* (sin b) (sin (* 2 b)))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))))) (* a (+ (* -1/2 (* (* a (* r (* (sin b) (+ (* -1 (/ (* (cos (* 2 b)) (sin (* 2 b))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))) (+ (* -1/2 (/ (* (sin (* 2 b)) (+ (* -1 (/ (cos (* 2 b)) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (+ (* -1 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3)))))) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (+ (* 2/3 (/ (sin (* 2 b)) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (/ (* (sin (* 2 b)) (+ (* -1 (/ (cos (* 2 b)) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (* -1 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))))) (+ 1/2 (* 1/2 (cos (* 2 b))))))))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))))) (* -1/2 (* (* r (* (sin b) (+ (* -1 (/ (cos (* 2 b)) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (+ (* -1 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))))))))) (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))))>
#<alt (* (* r (sin b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 a))))>
#<alt (+ 1/2 (+ (* -1 (* b (sin (* 2 a)))) (* 1/2 (cos (* 2 a)))))>
#<alt (+ 1/2 (+ (* 1/2 (cos (* 2 a))) (* b (+ (* -1 (sin (* 2 a))) (* -1 (* b (cos (* 2 a))))))))>
#<alt (+ 1/2 (+ (* 1/2 (cos (* 2 a))) (* b (+ (* -1 (sin (* 2 a))) (* b (+ (* -1 (cos (* 2 a))) (* 2/3 (* b (sin (* 2 a))))))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (+ 1/2 (+ (* -1 (* a (sin (* 2 b)))) (* 1/2 (cos (* 2 b)))))>
#<alt (+ 1/2 (+ (* 1/2 (cos (* 2 b))) (* a (+ (* -1 (sin (* 2 b))) (* -1 (* a (cos (* 2 b))))))))>
#<alt (+ 1/2 (+ (* 1/2 (cos (* 2 b))) (* a (+ (* -1 (sin (* 2 b))) (* a (+ (* -1 (cos (* 2 b))) (* 2/3 (* a (sin (* 2 b))))))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (* -1 (* b (sin a)))>
#<alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* a (sin (neg b)))>
#<alt (* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))>
#<alt (* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))>
#<alt (* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (cos (* 2 a))>
#<alt (+ (cos (* 2 a)) (* -2 (* b (sin (* 2 a)))))>
#<alt (+ (cos (* 2 a)) (* b (- (* -2 (* b (cos (* 2 a)))) (* 2 (sin (* 2 a))))))>
#<alt (+ (cos (* 2 a)) (* b (- (* b (+ (* -2 (cos (* 2 a))) (* 4/3 (* b (sin (* 2 a)))))) (* 2 (sin (* 2 a))))))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (- a (* -1 b))))>
#<alt (cos (* 2 (- a (* -1 b))))>
#<alt (cos (* 2 (- a (* -1 b))))>
#<alt (cos (* 2 (- a (* -1 b))))>
#<alt (cos (* 2 b))>
#<alt (+ (cos (* 2 b)) (* -2 (* a (sin (* 2 b)))))>
#<alt (+ (cos (* 2 b)) (* a (- (* -2 (* a (cos (* 2 b)))) (* 2 (sin (* 2 b))))))>
#<alt (+ (cos (* 2 b)) (* a (- (* a (+ (* -2 (cos (* 2 b))) (* 4/3 (* a (sin (* 2 b)))))) (* 2 (sin (* 2 b))))))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (- b (* -1 a))))>
#<alt (cos (* 2 (- b (* -1 a))))>
#<alt (cos (* 2 (- b (* -1 a))))>
#<alt (cos (* 2 (- b (* -1 a))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 a)))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))) (* -1/2 (* (* b (sin (* 2 a))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))) (* b (+ (* -1/2 (* (sin (* 2 a)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (* 1/2 (* (* b (- (* -1 (cos (* 2 a))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))) (* b (+ (* -1/2 (* (sin (* 2 a)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (* b (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))) (- (* -1 (cos (* 2 a))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (+ 1/2 (* 1/2 (cos (* 2 a))))))))) (* 1/2 (* (* b (- (* 2/3 (sin (* 2 a))) (* -1/2 (/ (* (sin (* 2 a)) (- (* -1 (cos (* 2 a))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))) (* -1/2 (* (* a (sin (* 2 b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))) (* a (+ (* -1/2 (* (sin (* 2 b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (* 1/2 (* (* a (- (* -1 (cos (* 2 b))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))) (* a (+ (* -1/2 (* (sin (* 2 b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (* a (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))) (- (* -1 (cos (* 2 b))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (+ 1/2 (* 1/2 (cos (* 2 b))))))))) (* 1/2 (* (* a (- (* 2/3 (sin (* 2 b))) (* -1/2 (/ (* (sin (* 2 b)) (- (* -1 (cos (* 2 b))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
Calls

96 calls:

TimeVariablePointExpression
10.0ms
r
@-inf
(/ (* r (sin b)) (cos a))
4.0ms
b
@0
(/ (* r (sin b)) (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2)))
3.0ms
r
@inf
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a))))
2.0ms
a
@0
(/ (* r (sin b)) (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2)))
2.0ms
r
@0
(/ (* r (sin b)) (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2)))

rewrite339.0ms (2.8%)

Memory
-21.2MiB live, 620.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 188×/-lowering-/.f32
4 188×/-lowering-/.f64
4 080×*-lowering-*.f32
4 080×*-lowering-*.f64
2 874×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032127
118683
2133281
0888981
Stop Event
iter limit
node limit
Counts
15 → 642
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))
(* r (sin b))
(sin b)
(+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a)))
(* r b)
(/ (* r (sin b)) (cos a))
(cos a)
(/ (* r (sin b)) (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2)))
(+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a))))
(- (* (cos a) (cos b)) (* (sin b) (sin a)))
(* (sin (neg b)) (sin a))
(cos (* 2 (+ b a)))
(/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) -1/2))
(* (sin b) (sin a))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (fabs.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (fabs.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (fabs.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 r #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 r #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (/.f64 r #s(literal 1 binary64)) (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (fabs.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 r (fabs.f64 (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))
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(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 6 binary64)) (pow.f64 (sin.f64 (+.f64 b a)) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 (+.f64 b a)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 4 binary64)) (pow.f64 (sin.f64 (+.f64 b a)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 6 binary64)) (pow.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 b a))) (sin.f64 (+.f64 b a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 b a))) (sin.f64 (+.f64 b a))) (*.f64 (neg.f64 (sin.f64 (+.f64 b a))) (sin.f64 (+.f64 b a)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sin.f64 (+.f64 b a))) (sin.f64 (+.f64 b a)))))))
(*.f64 (+.f64 (cos.f64 (+.f64 b a)) (sin.f64 (+.f64 b a))) (-.f64 (cos.f64 (+.f64 b a)) (sin.f64 (+.f64 b a))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 (+.f64 b a)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fabs.f64 (cos.f64 (+.f64 b a))))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (fabs.f64 (cos.f64 (+.f64 b a)))))))
(fabs.f64 (cos.f64 (+.f64 b a)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(neg.f64 (neg.f64 (fabs.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))))
(/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) #s(literal 1/4 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 (cos.f64 (+.f64 b a))))
(*.f64 (fabs.f64 (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 (cos.f64 (+.f64 b a))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))

simplify467.0ms (3.8%)

Memory
22.3MiB live, 812.3MiB allocated
Algorithm
egg-herbie
Rules
12 576×accelerator-lowering-fma.f32
12 576×accelerator-lowering-fma.f64
8 162×*-lowering-*.f32
8 162×*-lowering-*.f64
3 630×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06406016
121045725
269815676
084625410
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
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(sqrt (+ 1/2 (* 1/2 (cos (* 2 a)))))
(+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))) (* -1/2 (* (* b (sin (* 2 a))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
(+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))) (* b (+ (* -1/2 (* (sin (* 2 a)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (* 1/2 (* (* b (- (* -1 (cos (* 2 a))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
(+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))) (* b (+ (* -1/2 (* (sin (* 2 a)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (* b (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))) (- (* -1 (cos (* 2 a))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (+ 1/2 (* 1/2 (cos (* 2 a))))))))) (* 1/2 (* (* b (- (* 2/3 (sin (* 2 a))) (* -1/2 (/ (* (sin (* 2 a)) (- (* -1 (cos (* 2 a))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 b)))))
(+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))) (* -1/2 (* (* a (sin (* 2 b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))))
(+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))) (* a (+ (* -1/2 (* (sin (* 2 b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (* 1/2 (* (* a (- (* -1 (cos (* 2 b))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))))))
(+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))) (* a (+ (* -1/2 (* (sin (* 2 b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (* a (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))) (- (* -1 (cos (* 2 b))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (+ 1/2 (* 1/2 (cos (* 2 b))))))))) (* 1/2 (* (* a (- (* 2/3 (sin (* 2 b))) (* -1/2 (/ (* (sin (* 2 b)) (- (* -1 (cos (* 2 b))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (+.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 a) (+.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a))) (neg.f64 b) (+.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64))) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (fma.f64 a (+.f64 (fma.f64 (fma.f64 (sin.f64 b) (/.f64 (fma.f64 r (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b)) (*.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal 1/3 binary64))) (neg.f64 a) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (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 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* b r)
(*.f64 r b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 r #s(literal -1/6 binary64))) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos b)
(cos.f64 b)
(+ (cos b) (* a (sin (neg b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 b (sin.f64 (*.f64 a #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))) (* b (+ (* -1/2 (* (sin (* 2 a)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (* 1/2 (* (* b (- (* -1 (cos (* 2 a))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
(fma.f64 b (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (neg.f64 (cos.f64 (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 a #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))) (* b (+ (* -1/2 (* (sin (* 2 a)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (* b (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))) (- (* -1 (cos (* 2 a))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (+ 1/2 (* 1/2 (cos (* 2 a))))))))) (* 1/2 (* (* b (- (* 2/3 (sin (* 2 a))) (* -1/2 (/ (* (sin (* 2 a)) (- (* -1 (cos (* 2 a))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))))
(fma.f64 b (fma.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.f64 (neg.f64 (cos.f64 (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (*.f64 b (-.f64 (*.f64 (sin.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 2/3 binary64)) (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 b)))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))) (* -1/2 (* (* a (sin (* 2 b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (sin.f64 (*.f64 b #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))) (* a (+ (* -1/2 (* (sin (* 2 b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (* 1/2 (* (* a (- (* -1 (cos (* 2 b))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 (cos.f64 (*.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 b #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+ (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))) (* a (+ (* -1/2 (* (sin (* 2 b)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (* a (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))) (- (* -1 (cos (* 2 b))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (+ 1/2 (* 1/2 (cos (* 2 b))))))))) (* 1/2 (* (* a (- (* 2/3 (sin (* 2 b))) (* -1/2 (/ (* (sin (* 2 b)) (- (* -1 (cos (* 2 b))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (+ 1/2 (* 1/2 (cos (* 2 b)))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))))))))
(fma.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.f64 (neg.f64 (cos.f64 (*.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (*.f64 a (-.f64 (*.f64 #s(literal 2/3 binary64) (sin.f64 (*.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 (*.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(*.f64 b (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(*.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))

eval207.0ms (1.7%)

Memory
16.7MiB live, 285.7MiB allocated
Compiler

Compiled 29 858 to 2 173 computations (92.7% saved)

prune232.0ms (1.9%)

Memory
-28.8MiB live, 385.0MiB allocated
Pruning

85 alts after pruning (78 fresh and 7 done)

PrunedKeptTotal
New1 184281 212
Fresh145064
Picked145
Done033
Total1 199851 284
Accuracy
100.0%
Counts
1 284 → 85
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a)))))
26.5%
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
75.8%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
37.4%
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (cos.f64 b))
99.5%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
55.1%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
77.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
55.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 a) (cos.f64 b))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
53.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
62.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
57.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
57.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
58.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))
61.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))
65.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 b (sin.f64 a)))))
62.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
38.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
86.1%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))))
98.6%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
58.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
69.7%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) (cos.f64 (*.f64 a #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 b #s(literal 2 binary64))) (sin.f64 (*.f64 a #s(literal 2 binary64))))))) #s(literal -1/2 binary64))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))))
54.9%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
98.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a)))))))
56.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (sin.f64 a))))
56.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) (sin.f64 a))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
58.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
54.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
30.8%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))))
57.8%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
50.7%
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))))
49.2%
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
58.8%
(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
60.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
43.1%
(/.f64 (*.f64 r (exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 b))) #s(literal -1 binary64)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
36.0%
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
36.1%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
36.1%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
53.7%
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
53.3%
(/.f64 (*.f64 r b) (cos.f64 a))
60.4%
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
55.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
60.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
38.6%
(*.f64 (pow.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
53.8%
(*.f64 (pow.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
99.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 r)) #s(literal -1 binary64)))
58.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (neg.f64 r)) #s(literal -1 binary64)))
27.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) #s(literal -1/2 binary64)))
37.6%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (+.f64 #s(literal 0 binary64) (sin.f64 b))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
98.6%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
75.8%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
56.8%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
75.7%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
75.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
58.9%
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a)))))
53.4%
(*.f64 (/.f64 b (cos.f64 a)) r)
56.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r (sin.f64 b)))
60.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)) r)
53.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) b)
58.3%
(*.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))))
60.6%
(*.f64 (tan.f64 b) r)
58.8%
(*.f64 (sin.f64 b) (/.f64 r (fabs.f64 (cos.f64 (+.f64 b a)))))
60.5%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
56.8%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
56.8%
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
58.8%
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (fabs.f64 (cos.f64 (+.f64 b a)))))
53.5%
(*.f64 (neg.f64 b) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
41.9%
(*.f64 r (sin.f64 b))
37.9%
(*.f64 r b)
37.3%
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
37.4%
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
37.5%
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
53.3%
(*.f64 b (/.f64 r (cos.f64 a)))
27.2%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
26.9%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 3 616 to 2 274 computations (37.1% saved)

simplify186.0ms (1.5%)

Memory
15.0MiB live, 250.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
cost-diff320
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))
cost-diff704
(*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))
cost-diff0
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 a))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
cost-diff320
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))
cost-diff0
(*.f64 r #s(literal 1/3 binary64))
cost-diff0
(*.f64 b (*.f64 r #s(literal 1/3 binary64)))
cost-diff0
(fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)
cost-diff0
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
Rules
3 944×accelerator-lowering-fma.f32
3 944×accelerator-lowering-fma.f64
2 556×*-lowering-*.f32
2 556×*-lowering-*.f64
1 154×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044283
1107271
2233266
3616261
41570261
53968261
65706261
77413261
08065255
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b))))
(* r (sin b))
r
(sin b)
b
(+ (* (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))
(sin (neg b))
(neg b)
(sin a)
a
(* (/ 1 (/ 1 (cos a))) (cos b))
(/ 1 (/ 1 (cos a)))
1
(/ 1 (cos a))
(cos a)
(cos b)
(* b (+ (* b (* b (* r 1/3))) r))
b
(+ (* b (* b (* r 1/3))) r)
(* b (* r 1/3))
(* r 1/3)
r
1/3
(* (sin b) (* r (/ 1 (cos a))))
(sin b)
b
(* r (/ 1 (cos a)))
r
(/ 1 (cos a))
1
(cos a)
a
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(* r (sin b))
r
(sin b)
b
(- (cos a) (* b (sin a)))
(cos a)
a
(* b (sin a))
(sin a)
(pow (* (pow (sin (neg b)) -2) (* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r)))) -1/2)
(* (pow (sin (neg b)) -2) (* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r))))
(pow (sin (neg b)) -2)
(sin (neg b))
(neg b)
b
-2
(* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r)))
(+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))
1/2
(* 1/2 (cos (* 2 (+ b a))))
(cos (* 2 (+ b a)))
(* 2 (+ b a))
2
(+ b a)
a
(* (/ -1 r) (/ -1 r))
(/ -1 r)
-1
r
-1/2
Outputs
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(+ (* (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(sin (neg b))
(sin.f64 (neg.f64 b))
(neg b)
(neg.f64 b)
(sin a)
(sin.f64 a)
a
(* (/ 1 (/ 1 (cos a))) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(/ 1 (/ 1 (cos a)))
(cos.f64 a)
1
#s(literal 1 binary64)
(/ 1 (cos a))
(/.f64 #s(literal 1 binary64) (cos.f64 a))
(cos a)
(cos.f64 a)
(cos b)
(cos.f64 b)
(* b (+ (* b (* b (* r 1/3))) r))
(*.f64 r (fma.f64 b (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) b))
b
(+ (* b (* b (* r 1/3))) r)
(fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)
(* b (* r 1/3))
(*.f64 r (*.f64 b #s(literal 1/3 binary64)))
(* r 1/3)
(*.f64 r #s(literal 1/3 binary64))
r
1/3
#s(literal 1/3 binary64)
(* (sin b) (* r (/ 1 (cos a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(sin b)
(sin.f64 b)
b
(* r (/ 1 (cos a)))
(/.f64 r (cos.f64 a))
r
(/ 1 (cos a))
(/.f64 #s(literal 1 binary64) (cos.f64 a))
1
#s(literal 1 binary64)
(cos a)
(cos.f64 a)
a
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(- (cos a) (* b (sin a)))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(cos a)
(cos.f64 a)
a
(* b (sin a))
(*.f64 b (sin.f64 a))
(sin a)
(sin.f64 a)
(pow (* (pow (sin (neg b)) -2) (* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r)))) -1/2)
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)) (*.f64 r r))) #s(literal -1/2 binary64))
(* (pow (sin (neg b)) -2) (* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r))))
(*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)) (*.f64 r r)))
(pow (sin (neg b)) -2)
(pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64))
(sin (neg b))
(sin.f64 (neg.f64 b))
(neg b)
(neg.f64 b)
b
-2
#s(literal -2 binary64)
(* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)) (*.f64 r r))
(+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 (+ b a))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))
(cos (* 2 (+ b a)))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))
(* 2 (+ b a))
(*.f64 #s(literal 2 binary64) (+.f64 b a))
2
#s(literal 2 binary64)
(+ b a)
(+.f64 b a)
a
(* (/ -1 r) (/ -1 r))
(/.f64 #s(literal 1 binary64) (*.f64 r r))
(/ -1 r)
(/.f64 #s(literal -1 binary64) r)
-1
#s(literal -1 binary64)
r
-1/2
#s(literal -1/2 binary64)

localize285.0ms (2.4%)

Memory
-14.5MiB live, 506.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
accuracy85.5%
(*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))))
accuracy75.8%
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))
accuracy63.5%
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
accuracy100.0%
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(*.f64 b (sin.f64 a))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
accuracy100.0%
(cos.f64 a)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 a))
accuracy99.7%
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))
accuracy99.7%
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
accuracy99.9%
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
accuracy99.9%
(fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)
accuracy99.8%
(*.f64 b (*.f64 r #s(literal 1/3 binary64)))
accuracy99.5%
(*.f64 r #s(literal 1/3 binary64))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b))))
Samples
180.0ms163×1valid
39.0ms93×0valid
Compiler

Compiled 297 to 46 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
adjust: 39.0ms (21.6% of total)
ival-mult: 36.0ms (19.9% of total)
ival-sin: 29.0ms (16% of total)
ival-cos: 28.0ms (15.5% of total)
ival-pow: 17.0ms (9.4% of total)
ival-div: 13.0ms (7.2% of total)
ival-add: 8.0ms (4.4% of total)
const: 5.0ms (2.8% of total)
ival-neg: 2.0ms (1.1% of total)
ival-sub: 2.0ms (1.1% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series145.0ms (1.2%)

Memory
8.8MiB live, 167.8MiB allocated
Counts
22 → 528
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (cos a)))>
#<alt (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b))))>
#<alt (* r (sin b))>
#<alt (sin b)>
#<alt (* b (+ (* b (* b (* r 1/3))) r))>
#<alt (+ (* b (* b (* r 1/3))) r)>
#<alt (* b (* r 1/3))>
#<alt (* r 1/3)>
#<alt (* r (/ 1 (cos a)))>
#<alt (* (sin b) (* r (/ 1 (cos a))))>
#<alt (/ 1 (cos a))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (- (cos a) (* b (sin a)))>
#<alt (* (/ -1 r) (/ -1 r))>
#<alt (* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))>
#<alt (pow (* (pow (sin (neg b)) -2) (* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r)))) -1/2)>
#<alt (+ (* (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))>
#<alt (cos a)>
#<alt (* b (sin a))>
#<alt (cos (* 2 (+ b a)))>
#<alt (* (pow (sin (neg b)) -2) (* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r))))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (* b r)>
#<alt (* b (+ r (* 1/3 (* (pow b 2) r))))>
#<alt (* b (+ r (* 1/3 (* (pow b 2) r))))>
#<alt (* b (+ r (* 1/3 (* (pow b 2) r))))>
#<alt (* 1/3 (* (pow b 3) r))>
#<alt (* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* 1/3 (* (pow b 3) r))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))>
#<alt (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))>
#<alt (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))>
#<alt (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))>
#<alt r>
#<alt (+ r (* 1/3 (* (pow b 2) r)))>
#<alt (+ r (* 1/3 (* (pow b 2) r)))>
#<alt (+ r (* 1/3 (* (pow b 2) r)))>
#<alt (* 1/3 (* (pow b 2) r))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* 1/3 (* (pow b 2) r))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* -1 (* r (- (* -1/3 (pow b 2)) 1)))>
#<alt (* -1 (* r (- (* -1/3 (pow b 2)) 1)))>
#<alt (* -1 (* r (- (* -1/3 (pow b 2)) 1)))>
#<alt (* -1 (* r (- (* -1/3 (pow b 2)) 1)))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt r>
#<alt (+ r (* 1/2 (* (pow a 2) r)))>
#<alt (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))>
#<alt (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (* r (sin b))>
#<alt (+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))>
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))>
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2)))))>
#<alt (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 2)))))))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
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#<alt (cos (* 2 (- a (* -1 b))))>
#<alt (cos (* 2 (- a (* -1 b))))>
#<alt (cos (* 2 (- a (* -1 b))))>
#<alt (cos (* 2 b))>
#<alt (+ (cos (* 2 b)) (* -2 (* a (sin (* 2 b)))))>
#<alt (+ (cos (* 2 b)) (* a (- (* -2 (* a (cos (* 2 b)))) (* 2 (sin (* 2 b))))))>
#<alt (+ (cos (* 2 b)) (* a (- (* a (+ (* -2 (cos (* 2 b))) (* 4/3 (* a (sin (* 2 b)))))) (* 2 (sin (* 2 b))))))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (+ a b)))>
#<alt (cos (* 2 (- b (* -1 a))))>
#<alt (cos (* 2 (- b (* -1 a))))>
#<alt (cos (* 2 (- b (* -1 a))))>
#<alt (cos (* 2 (- b (* -1 a))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 a)))) (* (pow b 2) (pow r 2)))>
#<alt (/ (+ (* -1 (/ (* b (sin (* 2 a))) (pow r 2))) (+ (* 1/2 (/ (cos (* 2 a)) (pow r 2))) (* 1/2 (/ 1 (pow r 2))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (/ (cos (* 2 a)) (pow r 2))) (+ (* b (+ (* -1 (/ (sin (* 2 a)) (pow r 2))) (* b (- (* -1 (/ (cos (* 2 a)) (pow r 2))) (* -1/3 (/ (+ 1/2 (* 1/2 (cos (* 2 a)))) (pow r 2))))))) (* 1/2 (/ 1 (pow r 2))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (/ (cos (* 2 a)) (pow r 2))) (+ (* b (+ (* -1 (/ (sin (* 2 a)) (pow r 2))) (* b (- (+ (* -1 (/ (cos (* 2 a)) (pow r 2))) (* b (- (* 2/3 (/ (sin (* 2 a)) (pow r 2))) (* 1/3 (/ (sin (* 2 a)) (pow r 2)))))) (* -1/3 (/ (+ 1/2 (* 1/2 (cos (* 2 a)))) (pow r 2))))))) (* 1/2 (/ 1 (pow r 2))))) (pow b 2))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (* (pow r 2) (pow (sin (* -1 b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (* (pow r 2) (pow (sin (* -1 b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (* (pow r 2) (pow (sin (* -1 b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (* (pow r 2) (pow (sin (* -1 b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 b)))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (+ (* -1 (/ (* a (sin (* 2 b))) (* (pow r 2) (pow (sin (neg b)) 2)))) (+ (* 1/2 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* 1/2 (/ 1 (* (pow r 2) (pow (sin (neg b)) 2))))))>
#<alt (+ (* 1/2 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (+ (* a (+ (* -1 (/ (sin (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* -1 (/ (* a (cos (* 2 b))) (* (pow r 2) (pow (sin (neg b)) 2)))))) (* 1/2 (/ 1 (* (pow r 2) (pow (sin (neg b)) 2))))))>
#<alt (+ (* 1/2 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (+ (* a (+ (* -1 (/ (sin (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* a (+ (* -1 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* 2/3 (/ (* a (sin (* 2 b))) (* (pow r 2) (pow (sin (neg b)) 2)))))))) (* 1/2 (/ 1 (* (pow r 2) (pow (sin (neg b)) 2))))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))>
Calls

132 calls:

TimeVariablePointExpression
37.0ms
a
@0
(pow (* (pow (sin (neg b)) -2) (* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r)))) -1/2)
37.0ms
b
@-inf
(- (cos a) (* b (sin a)))
22.0ms
a
@-inf
(* (pow (sin (neg b)) -2) (* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r))))
3.0ms
r
@inf
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
3.0ms
b
@inf
(/ (* r (sin b)) (- (cos a) (* b (sin a))))

rewrite578.0ms (4.8%)

Memory
-6.9MiB live, 618.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 576×*-lowering-*.f32
4 576×*-lowering-*.f64
3 964×accelerator-lowering-fma.f32
3 964×accelerator-lowering-fma.f64
3 676×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044188
1233166
21728146
08203144
Stop Event
iter limit
node limit
Counts
22 → 666
Calls
Call 1
Inputs
(/ 1 (/ 1 (cos a)))
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b))))
(* r (sin b))
(sin b)
(* b (+ (* b (* b (* r 1/3))) r))
(+ (* b (* b (* r 1/3))) r)
(* b (* r 1/3))
(* r 1/3)
(* r (/ 1 (cos a)))
(* (sin b) (* r (/ 1 (cos a))))
(/ 1 (cos a))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(- (cos a) (* b (sin a)))
(* (/ -1 r) (/ -1 r))
(* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r)))
(+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))
(pow (* (pow (sin (neg b)) -2) (* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r)))) -1/2)
(+ (* (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))
(cos a)
(* b (sin a))
(cos (* 2 (+ b a)))
(* (pow (sin (neg b)) -2) (* (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (* (/ -1 r) (/ -1 r))))
Outputs
(exp.f64 (log.f64 (cos.f64 a)))
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 1 binary64)))
(cos.f64 a)
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 a) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (cos.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(/.f64 (cos.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 a)))
(/.f64 (neg.f64 (cos.f64 a)) #s(literal -1 binary64))
(pow.f64 (cos.f64 a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 a) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 a))
(*.f64 (cos.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 a)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (-.f64 (neg.f64 b) a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (-.f64 (neg.f64 b) a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (-.f64 (neg.f64 b) a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (-.f64 (neg.f64 b) a)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (-.f64 (neg.f64 b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 (neg.f64 b) a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (-.f64 (neg.f64 b) a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (-.f64 (neg.f64 b) a)) (*.f64 r (sin.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (neg.f64 b) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (-.f64 (neg.f64 b) a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (-.f64 (neg.f64 b) a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (-.f64 (neg.f64 b) a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 (-.f64 (neg.f64 b) a)))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (-.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (neg.f64 b) a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (-.f64 (neg.f64 b) a))))
(pow.f64 (/.f64 (cos.f64 (-.f64 (neg.f64 b) a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (-.f64 (neg.f64 b) a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 (neg.f64 b) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 (neg.f64 b) a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 (neg.f64 b) a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 (neg.f64 b) a))))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (-.f64 (neg.f64 b) a)))))
(*.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (-.f64 (neg.f64 b) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 (neg.f64 b) a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 (neg.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a))) r)
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 a (neg.f64 b))))))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 a (neg.f64 b))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 a (neg.f64 b))))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 a (neg.f64 b))))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (-.f64 (neg.f64 b) a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (-.f64 (neg.f64 b) a))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(+.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b))
(+.f64 (*.f64 r b) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b))) (/.f64 (*.f64 (*.f64 r b) (*.f64 r b)) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b))))
(fma.f64 r b (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)))
(fma.f64 b r (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)))
(fma.f64 b (*.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b))) (*.f64 r b))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b) (*.f64 r b))
(fma.f64 (*.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b))) b (*.f64 r b))
(fma.f64 (*.f64 b (*.f64 b b)) (*.f64 r #s(literal 1/3 binary64)) (*.f64 r b))
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(*.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))))
(*.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))))))) (/.f64 #s(literal 1 binary64) (*.f64 r r)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) r) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) r))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) r) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) r))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 b))) r) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64))) r))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))))) r) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))))) r) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r r)))

simplify558.0ms (4.6%)

Memory
16.5MiB live, 545.9MiB allocated
Algorithm
egg-herbie
Rules
11 350×accelerator-lowering-fma.f32
11 350×accelerator-lowering-fma.f64
8 408×*-lowering-*.f32
8 408×*-lowering-*.f64
3 476×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07717443
125297288
083126885
Stop Event
iter limit
node limit
Counts
528 → 528
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
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(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(* b r)
(* b (+ r (* 1/3 (* (pow b 2) r))))
(* b (+ r (* 1/3 (* (pow b 2) r))))
(* b (+ r (* 1/3 (* (pow b 2) r))))
(* 1/3 (* (pow b 3) r))
(* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))
(* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))
(* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))
(* 1/3 (* (pow b 3) r))
(* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))
(* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))
(* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))
(* b (* r (+ 1 (* 1/3 (pow b 2)))))
(* b (* r (+ 1 (* 1/3 (pow b 2)))))
(* b (* r (+ 1 (* 1/3 (pow b 2)))))
(* b (* r (+ 1 (* 1/3 (pow b 2)))))
(* b (* r (+ 1 (* 1/3 (pow b 2)))))
(* b (* r (+ 1 (* 1/3 (pow b 2)))))
(* b (* r (+ 1 (* 1/3 (pow b 2)))))
(* b (* r (+ 1 (* 1/3 (pow b 2)))))
(* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))
(* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))
(* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))
(* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))
r
(+ r (* 1/3 (* (pow b 2) r)))
(+ r (* 1/3 (* (pow b 2) r)))
(+ r (* 1/3 (* (pow b 2) r)))
(* 1/3 (* (pow b 2) r))
(* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))
(* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))
(* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))
(* 1/3 (* (pow b 2) r))
(* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))
(* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))
(* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))
(* r (+ 1 (* 1/3 (pow b 2))))
(* r (+ 1 (* 1/3 (pow b 2))))
(* r (+ 1 (* 1/3 (pow b 2))))
(* r (+ 1 (* 1/3 (pow b 2))))
(* r (+ 1 (* 1/3 (pow b 2))))
(* r (+ 1 (* 1/3 (pow b 2))))
(* r (+ 1 (* 1/3 (pow b 2))))
(* r (+ 1 (* 1/3 (pow b 2))))
(* -1 (* r (- (* -1/3 (pow b 2)) 1)))
(* -1 (* r (- (* -1/3 (pow b 2)) 1)))
(* -1 (* r (- (* -1/3 (pow b 2)) 1)))
(* -1 (* r (- (* -1/3 (pow b 2)) 1)))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 (* b r))
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ (* b r) (cos a))
(* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a))))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(* r (sin b))
(+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))
(+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))
(+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
1
(+ 1 (* 1/2 (pow a 2)))
(+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2)))))
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 2)))))))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1/6 (/ r (cos a))) (/ (* b (* (sin a) (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* -1 (/ (* r (sin b)) (* b (sin a))))
(/ (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))))) b)
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b)
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 3) (sin b))) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))) (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) b)
(* -1 (/ (* r (sin b)) (* b (sin a))))
(* -1 (/ (+ (/ (* r (sin b)) (sin a)) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* b (pow (sin a) 3)))) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (* (pow (cos a) 3) (sin b))) (* b (pow (sin a) 4))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (pow (sin a) 3)))) b)) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))
(* r (sin b))
(+ (* a (* b (* r (sin b)))) (* r (sin b)))
(+ (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (* r (sin b)))) (+ (* 1/6 (* b (* r (sin b)))) (* b (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* a (- (* -1/2 a) b)))
(+ 1 (* a (- (* a (- (* 1/6 (* a b)) 1/2)) b)))
(- (cos a) (* b (sin a)))
(- (cos a) (* b (sin a)))
(- (cos a) (* b (sin a)))
(- (cos a) (* b (sin a)))
(- (cos a) (* b (sin a)))
(- (cos a) (* b (sin a)))
(- (cos a) (* b (sin a)))
(- (cos a) (* b (sin a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(* -1 (* b (sin a)))
(* b (- (/ (cos a) b) (sin a)))
(* b (- (/ (cos a) b) (sin a)))
(* b (- (/ (cos a) b) (sin a)))
(* -1 (* b (sin a)))
(* -1 (* b (- (* -1 (/ (cos a) b)) (* -1 (sin a)))))
(* -1 (* b (- (* -1 (/ (cos a) b)) (* -1 (sin a)))))
(* -1 (* b (- (* -1 (/ (cos a) b)) (* -1 (sin a)))))
(/ 1 (pow r 2))
(/ 1 (pow r 2))
(/ 1 (pow r 2))
(/ 1 (pow r 2))
(/ 1 (pow r 2))
(/ 1 (pow r 2))
(/ 1 (pow r 2))
(/ 1 (pow r 2))
(/ 1 (pow r 2))
(/ 1 (pow r 2))
(/ 1 (pow r 2))
(/ 1 (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 a)))) (pow r 2))
(+ (* -1 (/ (* b (sin (* 2 a))) (pow r 2))) (+ (* 1/2 (/ (cos (* 2 a)) (pow r 2))) (* 1/2 (/ 1 (pow r 2)))))
(+ (* 1/2 (/ (cos (* 2 a)) (pow r 2))) (+ (* b (+ (* -1 (/ (sin (* 2 a)) (pow r 2))) (* -1 (/ (* b (cos (* 2 a))) (pow r 2))))) (* 1/2 (/ 1 (pow r 2)))))
(+ (* 1/2 (/ (cos (* 2 a)) (pow r 2))) (+ (* b (+ (* -1 (/ (sin (* 2 a)) (pow r 2))) (* b (+ (* -1 (/ (cos (* 2 a)) (pow r 2))) (* 2/3 (/ (* b (sin (* 2 a))) (pow r 2))))))) (* 1/2 (/ 1 (pow r 2)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 b)))) (pow r 2))
(+ (* -1 (/ (* a (sin (* 2 b))) (pow r 2))) (+ (* 1/2 (/ (cos (* 2 b)) (pow r 2))) (* 1/2 (/ 1 (pow r 2)))))
(+ (* 1/2 (/ (cos (* 2 b)) (pow r 2))) (+ (* a (+ (* -1 (/ (sin (* 2 b)) (pow r 2))) (* -1 (/ (* a (cos (* 2 b))) (pow r 2))))) (* 1/2 (/ 1 (pow r 2)))))
(+ (* 1/2 (/ (cos (* 2 b)) (pow r 2))) (+ (* a (+ (* -1 (/ (sin (* 2 b)) (pow r 2))) (* a (+ (* -1 (/ (cos (* 2 b)) (pow r 2))) (* 2/3 (/ (* a (sin (* 2 b))) (pow r 2))))))) (* 1/2 (/ 1 (pow r 2)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (pow r 2))
(+ 1/2 (* 1/2 (cos (* 2 a))))
(+ 1/2 (+ (* -1 (* b (sin (* 2 a)))) (* 1/2 (cos (* 2 a)))))
(+ 1/2 (+ (* 1/2 (cos (* 2 a))) (* b (+ (* -1 (sin (* 2 a))) (* -1 (* b (cos (* 2 a))))))))
(+ 1/2 (+ (* 1/2 (cos (* 2 a))) (* b (+ (* -1 (sin (* 2 a))) (* b (+ (* -1 (cos (* 2 a))) (* 2/3 (* b (sin (* 2 a))))))))))
(+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))
(+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b))))))
(+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b))))))
(+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b))))))
(+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b))))))
(+ 1/2 (* 1/2 (cos (* 2 b))))
(+ 1/2 (+ (* -1 (* a (sin (* 2 b)))) (* 1/2 (cos (* 2 b)))))
(+ 1/2 (+ (* 1/2 (cos (* 2 b))) (* a (+ (* -1 (sin (* 2 b))) (* -1 (* a (cos (* 2 b))))))))
(+ 1/2 (+ (* 1/2 (cos (* 2 b))) (* a (+ (* -1 (sin (* 2 b))) (* a (+ (* -1 (cos (* 2 b))) (* 2/3 (* a (sin (* 2 b))))))))))
(+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))
(+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))
(+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))
(+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))
(+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))
(* -1 (* (* b r) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a))))))))
(* b (+ (* -1 (* r (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (* -1/2 (* (* b (* r (sin (* 2 a)))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3)))))))
(* b (+ (* -1 (* r (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (* b (+ (* -1/2 (* (* r (sin (* 2 a))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))))) (* b (+ (* 1/6 (* r (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (* 1/2 (* (* r (+ (* -1 (/ (cos (* 2 a)) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (+ (* -1 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3)))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))))
(* b (+ (* -1 (* r (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (* b (+ (* -1/2 (* (* r (sin (* 2 a))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))))) (* b (+ (* 1/6 (* r (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 a)))))))) (+ (* 1/2 (* (* r (+ (* -1 (/ (cos (* 2 a)) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (+ (* -1 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3)))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))))) (* b (+ (* 1/12 (* (* r (sin (* 2 a))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))))) (* 1/2 (* (* r (+ (* -1 (/ (* (cos (* 2 a)) (sin (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))) (+ (* -1/2 (/ (* (sin (* 2 a)) (+ (* -1 (/ (cos (* 2 a)) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (+ (* -1 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))) (* 1/4 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3)))))) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (+ (* 2/3 (/ (sin (* 2 a)) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (/ (* (sin (* 2 a)) (+ (* -1 (/ (cos (* 2 a)) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (* -1 (/ (pow (sin (* 2 a)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 3))))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 a))))))))))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (* -1 b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))))
(* (* r (sin (* -1 b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))))
(* (* r (sin (* -1 b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))))
(* (* r (sin (* -1 b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b)))))))
(+ (* 1/2 (* (* a (* r (* (sin (neg b)) (sin (* 2 b))))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))))) (* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b))))))))
(+ (* a (+ (* -1/2 (* (* a (* r (* (sin (neg b)) (+ (* -1 (/ (cos (* 2 b)) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (+ (* -1 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3)))))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))))) (* 1/2 (* (* r (* (sin (neg b)) (sin (* 2 b)))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))))))) (* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b))))))))
(+ (* a (+ (* 1/2 (* (* r (* (sin (neg b)) (sin (* 2 b)))) (sqrt (/ 1 (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))))) (* a (+ (* -1/2 (* (* a (* r (* (sin (neg b)) (+ (* -1 (/ (* (cos (* 2 b)) (sin (* 2 b))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))) (+ (* -1/2 (/ (* (sin (* 2 b)) (+ (* -1 (/ (cos (* 2 b)) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (+ (* -1 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3)))))) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (+ (* 2/3 (/ (sin (* 2 b)) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (/ (* (sin (* 2 b)) (+ (* -1 (/ (cos (* 2 b)) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (* -1 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))))) (+ 1/2 (* 1/2 (cos (* 2 b))))))))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))))) (* -1/2 (* (* r (* (sin (neg b)) (+ (* -1 (/ (cos (* 2 b)) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (+ (* -1 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))) (* 1/4 (/ (pow (sin (* 2 b)) 2) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 3))))))) (sqrt (+ 1/2 (* 1/2 (cos (* 2 b))))))))))) (* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))))
(* -1 (* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))))))
(* -1 (* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))))))
(* -1 (* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))))))
(* -1 (* (* r (sin (neg b))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* a b)
(* a (+ b (* -1/6 (* (pow a 2) b))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(cos (* 2 a))
(+ (cos (* 2 a)) (* -2 (* b (sin (* 2 a)))))
(+ (cos (* 2 a)) (* b (- (* -2 (* b (cos (* 2 a)))) (* 2 (sin (* 2 a))))))
(+ (cos (* 2 a)) (* b (- (* b (+ (* -2 (cos (* 2 a))) (* 4/3 (* b (sin (* 2 a)))))) (* 2 (sin (* 2 a))))))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (- a (* -1 b))))
(cos (* 2 (- a (* -1 b))))
(cos (* 2 (- a (* -1 b))))
(cos (* 2 (- a (* -1 b))))
(cos (* 2 b))
(+ (cos (* 2 b)) (* -2 (* a (sin (* 2 b)))))
(+ (cos (* 2 b)) (* a (- (* -2 (* a (cos (* 2 b)))) (* 2 (sin (* 2 b))))))
(+ (cos (* 2 b)) (* a (- (* a (+ (* -2 (cos (* 2 b))) (* 4/3 (* a (sin (* 2 b)))))) (* 2 (sin (* 2 b))))))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (- b (* -1 a))))
(cos (* 2 (- b (* -1 a))))
(cos (* 2 (- b (* -1 a))))
(cos (* 2 (- b (* -1 a))))
(/ (+ 1/2 (* 1/2 (cos (* 2 a)))) (* (pow b 2) (pow r 2)))
(/ (+ (* -1 (/ (* b (sin (* 2 a))) (pow r 2))) (+ (* 1/2 (/ (cos (* 2 a)) (pow r 2))) (* 1/2 (/ 1 (pow r 2))))) (pow b 2))
(/ (+ (* 1/2 (/ (cos (* 2 a)) (pow r 2))) (+ (* b (+ (* -1 (/ (sin (* 2 a)) (pow r 2))) (* b (- (* -1 (/ (cos (* 2 a)) (pow r 2))) (* -1/3 (/ (+ 1/2 (* 1/2 (cos (* 2 a)))) (pow r 2))))))) (* 1/2 (/ 1 (pow r 2))))) (pow b 2))
(/ (+ (* 1/2 (/ (cos (* 2 a)) (pow r 2))) (+ (* b (+ (* -1 (/ (sin (* 2 a)) (pow r 2))) (* b (- (+ (* -1 (/ (cos (* 2 a)) (pow r 2))) (* b (- (* 2/3 (/ (sin (* 2 a)) (pow r 2))) (* 1/3 (/ (sin (* 2 a)) (pow r 2)))))) (* -1/3 (/ (+ 1/2 (* 1/2 (cos (* 2 a)))) (pow r 2))))))) (* 1/2 (/ 1 (pow r 2))))) (pow b 2))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (* (pow r 2) (pow (sin (* -1 b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (* (pow r 2) (pow (sin (* -1 b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (* (pow r 2) (pow (sin (* -1 b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))) (* (pow r 2) (pow (sin (* -1 b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 b)))) (* (pow r 2) (pow (sin (neg b)) 2)))
(+ (* -1 (/ (* a (sin (* 2 b))) (* (pow r 2) (pow (sin (neg b)) 2)))) (+ (* 1/2 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* 1/2 (/ 1 (* (pow r 2) (pow (sin (neg b)) 2))))))
(+ (* 1/2 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (+ (* a (+ (* -1 (/ (sin (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* -1 (/ (* a (cos (* 2 b))) (* (pow r 2) (pow (sin (neg b)) 2)))))) (* 1/2 (/ 1 (* (pow r 2) (pow (sin (neg b)) 2))))))
(+ (* 1/2 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (+ (* a (+ (* -1 (/ (sin (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* a (+ (* -1 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* 2/3 (/ (* a (sin (* 2 b))) (* (pow r 2) (pow (sin (neg b)) 2)))))))) (* 1/2 (/ 1 (* (pow r 2) (pow (sin (neg b)) 2))))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(+ (* -1 (/ (* a (sin (* 2 b))) (* (pow r 2) (pow (sin (neg b)) 2)))) (+ (* 1/2 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* 1/2 (/ 1 (* (pow r 2) (pow (sin (neg b)) 2))))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))) (/.f64 (*.f64 a (sin.f64 (*.f64 #s(literal 2 binary64) b))) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64))))))
(+ (* 1/2 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (+ (* a (+ (* -1 (/ (sin (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* -1 (/ (* a (cos (* 2 b))) (* (pow r 2) (pow (sin (neg b)) 2)))))) (* 1/2 (/ 1 (* (pow r 2) (pow (sin (neg b)) 2))))))
(fma.f64 a (neg.f64 (fma.f64 a (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64))))) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))))
(+ (* 1/2 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (+ (* a (+ (* -1 (/ (sin (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* a (+ (* -1 (/ (cos (* 2 b)) (* (pow r 2) (pow (sin (neg b)) 2)))) (* 2/3 (/ (* a (sin (* 2 b))) (* (pow r 2) (pow (sin (neg b)) 2)))))))) (* 1/2 (/ 1 (* (pow r 2) (pow (sin (neg b)) 2))))))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 a #s(literal 2/3 binary64))) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64))))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) b))) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))) (* (pow r 2) (pow (sin (neg b)) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r (*.f64 r (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 2 binary64)))))

eval197.0ms (1.6%)

Memory
-12.0MiB live, 379.9MiB allocated
Compiler

Compiled 34 782 to 3 507 computations (89.9% saved)

prune254.0ms (2.1%)

Memory
29.1MiB live, 630.7MiB allocated
Pruning

97 alts after pruning (88 fresh and 9 done)

PrunedKeptTotal
New1 315261 341
Fresh116273
Picked325
Done077
Total1 329971 426
Accuracy
100.0%
Counts
1 426 → 97
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a)))))
21.7%
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 r r))) #s(literal -1/2 binary64))
21.8%
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
26.5%
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1 binary64)) r) (/.f64 #s(literal 1/2 binary64) r))) #s(literal -1/2 binary64))
32.3%
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 (+.f64 a a)) (cos.f64 (*.f64 b #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 a #s(literal 2 binary64))) (sin.f64 (*.f64 b #s(literal 2 binary64))))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
75.8%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
15.5%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b)))
24.4%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) b) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))
99.5%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
55.1%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
77.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
55.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 a) (cos.f64 b))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
59.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
53.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
62.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
57.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
57.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
58.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))
61.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))
65.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 b (sin.f64 a)))))
62.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
38.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
58.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (sin.f64 (neg.f64 b)) (cos.f64 b)))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
86.1%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))))
58.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
69.7%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) (cos.f64 (*.f64 a #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 b #s(literal 2 binary64))) (sin.f64 (*.f64 a #s(literal 2 binary64))))))) #s(literal -1/2 binary64))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
98.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a)))))))
56.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (sin.f64 a))))
56.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) (sin.f64 a))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
30.8%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))))
57.8%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
50.7%
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))))
49.2%
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
58.8%
(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
60.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
43.1%
(/.f64 (*.f64 r (exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 b))) #s(literal -1 binary64)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
36.0%
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
36.1%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
36.1%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
56.2%
(/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
53.3%
(/.f64 (*.f64 r b) (cos.f64 a))
60.4%
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
60.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
37.7%
(*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
99.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 r)) #s(literal -1 binary64)))
58.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (neg.f64 r)) #s(literal -1 binary64)))
37.6%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (+.f64 #s(literal 0 binary64) (sin.f64 b))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
98.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
98.6%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
75.8%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
56.8%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
75.7%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
75.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
56.8%
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
58.9%
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a)))))
53.4%
(*.f64 (/.f64 b (cos.f64 a)) r)
54.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b)))
56.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r (sin.f64 b)))
12.2%
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
60.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)) r)
53.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) b)
33.6%
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)))))
27.0%
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 1/2 binary64)))))
58.3%
(*.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))))
60.6%
(*.f64 (tan.f64 b) r)
22.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 b) r))
58.8%
(*.f64 (sin.f64 b) (/.f64 r (fabs.f64 (cos.f64 (+.f64 b a)))))
60.5%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
49.3%
(*.f64 (sin.f64 b) (*.f64 r (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal -1/2 binary64))))
56.8%
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
41.9%
(*.f64 (sin.f64 b) r)
58.8%
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (fabs.f64 (cos.f64 (+.f64 b a)))))
53.5%
(*.f64 (neg.f64 b) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
37.5%
(*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
15.3%
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
37.9%
(*.f64 r b)
37.3%
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
37.4%
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
37.5%
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
53.3%
(*.f64 b (/.f64 r (cos.f64 a)))
27.0%
(*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))))
15.3%
(*.f64 b (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))
15.2%
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
27.2%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
26.9%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
21.6%
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r r)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))))))))
Compiler

Compiled 5 105 to 1 950 computations (61.8% saved)

regimes194.0ms (1.6%)

Memory
-17.1MiB live, 338.2MiB allocated
Counts
152 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) b) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))
(*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) b)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (cos.f64 b))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 b) r))
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 b) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (fabs.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
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(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (neg.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a)))))))
(fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (cos.f64 b) (neg.f64 (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Calls

4 calls:

58.0ms
b
43.0ms
r
42.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
42.0ms
a
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes181.0ms (1.5%)

Memory
-8.4MiB live, 321.8MiB allocated
Counts
123 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) b) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))
(*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) b)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (cos.f64 b))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 b) r))
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 b) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (fabs.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal -1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (sin.f64 (neg.f64 b)) (cos.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 b (sin.f64 a)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 r r))) #s(literal -1/2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1 binary64)) r) (/.f64 #s(literal 1/2 binary64) r))) #s(literal -1/2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (cos.f64 b))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (+.f64 #s(literal 0 binary64) (sin.f64 b))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r r)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Calls

4 calls:

56.0ms
b
50.0ms
r
36.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
34.0ms
a
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes198.0ms (1.6%)

Memory
5.5MiB live, 320.8MiB allocated
Counts
121 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) b) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))
(*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) b)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (cos.f64 b))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 b) r))
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 b) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (fabs.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal -1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (sin.f64 (neg.f64 b)) (cos.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 b (sin.f64 a)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 r r))) #s(literal -1/2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1 binary64)) r) (/.f64 #s(literal 1/2 binary64) r))) #s(literal -1/2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (cos.f64 b))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (+.f64 #s(literal 0 binary64) (sin.f64 b))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r r)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

4 calls:

82.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
40.0ms
a
36.0ms
r
34.0ms
b
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes150.0ms (1.2%)

Memory
-5.1MiB live, 355.6MiB allocated
Counts
120 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) b) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))
(*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) b)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (cos.f64 b))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 b) r))
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 b) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (fabs.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal -1/2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (sin.f64 (neg.f64 b)) (cos.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 b (sin.f64 a)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 r r))) #s(literal -1/2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1 binary64)) r) (/.f64 #s(literal 1/2 binary64) r))) #s(literal -1/2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (cos.f64 b))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (+.f64 #s(literal 0 binary64) (sin.f64 b))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)))) #s(literal -1/2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1/2 binary64)) (*.f64 r r)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
Calls

4 calls:

38.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
38.0ms
b
34.0ms
a
34.0ms
r
Results
AccuracySegmentsBranch
76.0%1r
76.0%1a
76.0%1b
76.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes73.0ms (0.6%)

Memory
6.1MiB live, 126.6MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) b) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))
(*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) b)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (cos.f64 b))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 b) r))
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Calls

4 calls:

31.0ms
b
14.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
13.0ms
a
12.0ms
r
Results
AccuracySegmentsBranch
75.9%1b
75.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
75.9%1r
75.9%1a
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes105.0ms (0.9%)

Memory
-9.9MiB live, 109.9MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) b) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))
(*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) b)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (cos.f64 b))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 b) r))
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
Outputs
(*.f64 (tan.f64 b) r)
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (tan.f64 b) r)
Calls

4 calls:

36.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
29.0ms
a
26.0ms
r
12.0ms
b
Results
AccuracySegmentsBranch
63.1%2r
75.9%3a
76.0%3b
65.5%3(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) b) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))
(*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
Outputs
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (tan.f64 b) r)
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
76.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes64.0ms (0.5%)

Memory
-6.9MiB live, 70.7MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) b) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))
(*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
Outputs
(*.f64 (tan.f64 b) r)
Calls

4 calls:

26.0ms
b
26.0ms
r
6.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
6.0ms
a
Results
AccuracySegmentsBranch
60.6%1r
60.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
60.6%1a
60.6%1b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes30.0ms (0.2%)

Memory
6.1MiB live, 44.9MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) b) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))
(*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
Outputs
(*.f64 r (sin.f64 b))
Calls

4 calls:

12.0ms
r
6.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
41.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
41.9%1r
41.9%1b
41.9%1a
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes38.0ms (0.3%)

Memory
-13.0MiB live, 39.4MiB allocated
Accuracy

Total -23.1b remaining (-58.2%)

Threshold costs -23.1b (-58.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64)))) r))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) b) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))
(*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 r b) (*.f64 #s(literal 1/3 binary64) b) r) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 r)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 r #s(literal 1/72 binary64) (fma.f64 r #s(literal -1/720 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64)))))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal 1/6 binary64) (*.f64 r #s(literal -1/24 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) b)) (*.f64 b b)) (*.f64 r b)))
Outputs
(*.f64 r b)
Calls

4 calls:

22.0ms
r
5.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms
b
5.0ms
a
Results
AccuracySegmentsBranch
37.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
37.9%1r
37.9%1a
37.9%1b
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch45.0ms (0.4%)

Memory
14.2MiB live, 52.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
1.3578200132955494e-9
0.7420235983906264
12.0ms
-1.371776357947416
-0.31153158339912423
Samples
20.0ms135×0valid
14.0ms105×1valid
Compiler

Compiled 285 to 209 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 13.0ms (48.1% of total)
ival-cos: 6.0ms (22.2% of total)
ival-sin: 3.0ms (11.1% of total)
ival-add: 2.0ms (7.4% of total)
ival-div: 2.0ms (7.4% of total)
adjust: 2.0ms (7.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch56.0ms (0.5%)

Memory
-23.5MiB live, 52.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
1.3578200132955494e-9
0.7420235983906264
22.0ms
-1.371776357947416
-0.31153158339912423
Samples
31.0ms130×0valid
14.0ms110×1valid
Compiler

Compiled 285 to 209 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-cos: 18.0ms (47.3% of total)
ival-sin: 13.0ms (34.2% of total)
ival-add: 2.0ms (5.3% of total)
ival-div: 2.0ms (5.3% of total)
adjust: 2.0ms (5.3% of total)
ival-mult: 2.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
29.3MiB live, 29.3MiB allocated
Algorithm
egg-herbie
Rules
26×*-commutative_binary64
12×+-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042115
170115
283115
389115
491115
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 b #s(literal -5674535530486825/18014398509481984 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -5674535530486825/18014398509481984 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5902958103587057/2361183241434822606848 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r)))
(*.f64 (tan.f64 b) r)
(*.f64 r (sin.f64 b))
(*.f64 r b)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(if (<=.f64 b #s(literal -5674535530486825/18014398509481984 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -5674535530486825/18014398509481984 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -5674535530486825/18014398509481984 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5902958103587057/2361183241434822606848 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -5674535530486825/18014398509481984 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 5902958103587057/2361183241434822606848 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b))))
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(*.f64 r (sin.f64 b))
(*.f64 r b)

soundness1.2s (9.8%)

Memory
-30.4MiB live, 691.4MiB allocated
Rules
12 576×accelerator-lowering-fma.f32
12 576×accelerator-lowering-fma.f64
10 934×accelerator-lowering-fma.f32
10 934×accelerator-lowering-fma.f64
8 564×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167960
1517928
21595886
35409885
08292853
0819
13919
222919
3204719
0843419
030143
117087
2111587
0873287
04894756
115274563
250464480
088464321
06406016
121045725
269815676
084625410
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 324 to 178 computations (45.1% saved)

preprocess67.0ms (0.6%)

Memory
23.6MiB live, 142.9MiB allocated
Remove

(negabs r)

Compiler

Compiled 462 to 232 computations (49.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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