rsin A (should all be same)

Time bar (total: 13.3s)

analyze408.0ms (3.1%)

Memory
-6.0MiB live, 403.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample2.1s (15.6%)

Memory
1.8MiB live, 1 933.0MiB allocated
Samples
1.6s5 951×1valid
189.0ms2 305×0valid
Precisions
Click to see histograms. Total time spent on operations: 865.0ms
ival-cos: 309.0ms (35.7% of total)
ival-sin: 210.0ms (24.3% of total)
ival-div: 93.0ms (10.7% of total)
adjust: 92.0ms (10.6% of total)
ival-add: 91.0ms (10.5% of total)
ival-mult: 60.0ms (6.9% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess111.0ms (0.8%)

Memory
29.3MiB live, 68.7MiB allocated
Algorithm
2×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
1×iter limit
1×saturated
1×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)

explain145.0ms (1.1%)

Memory
-9.0MiB live, 236.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
61143(3.564491437105644e-57 3.4585371293332997e+242 -1.437735934998636e-265)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))sensitivity2040
Confusion
Predicted +Predicted -
+610
-14352
Precision
0.29901960784313725
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6100
-143052
Precision?
0.29901960784313725
Recall?
1.0
Freqs
test
numberfreq
052
1204
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms390×1valid
14.0ms122×0valid
Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-cos: 17.0ms (34.7% of total)
ival-sin: 12.0ms (24.5% of total)
ival-add: 7.0ms (14.3% of total)
adjust: 5.0ms (10.2% of total)
ival-div: 4.0ms (8.2% of total)
ival-mult: 3.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
1×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
6×*-commutative
6×/-lowering-/.f32
6×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
11225
21525
31625
01625
Stop Event
1×iter limit
1×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

localize61.0ms (0.5%)

Memory
-1.0MiB live, 72.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 b)
✓accuracy99.7%
(*.f64 r (sin.f64 b))
✓accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
✓accuracy79.7%
(cos.f64 (+.f64 a b))
Samples
46.0ms195×1valid
5.0ms61×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-sin: 23.0ms (57.3% of total)
ival-cos: 8.0ms (19.9% of total)
ival-add: 2.0ms (5% of total)
ival-div: 2.0ms (5% of total)
adjust: 2.0ms (5% of total)
ival-mult: 2.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory
-17.4MiB live, 23.1MiB 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
8.0ms
b
@-inf
(/ (* r (sin b)) (cos (+ a b)))
2.0ms
r
@0
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
b
@inf
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
a
@0
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
b
@0
(/ (* r (sin b)) (cos (+ a b)))

rewrite496.0ms (3.7%)

Memory
0.5MiB live, 601.0MiB allocated
Algorithm
1×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
1×iter limit
1×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) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (/.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) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) (*.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) (-.f64 #s(literal 0 binary64) (*.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)) (-.f64 #s(literal 0 binary64) (sin.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)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 r (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) (neg.f64 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r))
(*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) r)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (sin.f64 b))
(sin.f64 b)
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (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))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))
(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.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) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (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)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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))))

simplify426.0ms (3.2%)

Memory
29.8MiB live, 577.5MiB allocated
Algorithm
1×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
1×iter limit
1×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))) (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 #s(literal 0 binary64) a) #s(literal 0 binary64))) (/.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 (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 0 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 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(* 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))))
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* 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))))
(*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64)))
(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))))
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (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)) (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) #s(literal 0 binary64))) (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 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 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)) (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 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
-2.1MiB live, 75.2MiB allocated
Compiler

Compiled 3 953 to 533 computations (86.5% saved)

prune55.0ms (0.4%)

Memory
15.3MiB live, 129.9MiB allocated
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New20133234
Fresh000
Picked011
Done000
Total20134235
Accuracy
99.9%
Counts
235 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.3%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
46.7%
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
46.6%
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
46.7%
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
▶99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
58.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) #s(literal 0 binary64))) (cos.f64 b)))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)))
59.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)))
98.7%
(/.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)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))))
79.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
79.5%
(/.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)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
48.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
44.0%
(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))))
▶32.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
✓79.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
▶60.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
50.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
47.2%
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
▶47.1%
(/.f64 (*.f64 r b) (cos.f64 a))
46.6%
(/.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)))
46.6%
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
79.5%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
79.3%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
▶79.3%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
79.4%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)))
79.5%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
79.4%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
79.5%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
79.4%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
79.5%
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
46.7%
(*.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))))
36.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 1 358 to 848 computations (37.6% saved)

simplify231.0ms (1.7%)

Memory
-17.4MiB live, 299.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -1 binary64) (sin.f64 b))
✓cost-diff320
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
✓cost-diff6464
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))
✓cost-diff6976
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
✓cost-diff192
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
✓cost-diff-64
(*.f64 r (sin.f64 b))
✓cost-diff0
(cos.f64 b)
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
✓cost-diff-64
(*.f64 r b)
✓cost-diff0
(cos.f64 a)
✓cost-diff0
(/.f64 (*.f64 r b) (cos.f64 a))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (sin.f64 b))
✓cost-diff0
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Rules
3 792×accelerator-lowering-fma.f32
3 792×accelerator-lowering-fma.f64
2 160×*-lowering-*.f32
2 160×*-lowering-*.f64
1 834×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038248
177245
2147239
3327235
4848233
51763233
62727233
74269233
85721233
96564233
106856233
116972233
127103233
137275233
08017230
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))
(* r (sin b))
r
(sin b)
b
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))
(- 0 (sin b))
0
(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)) (cos (/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a))))))
(* r (sin b))
r
(sin b)
b
(cos (/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a)))))
(/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a))))
(+ (* b (* b b)) (* a (* a a)))
(* b b)
(* a (* a a))
a
(* a a)
(- 0 (+ (* b (- b a)) (* a a)))
0
(+ (* b (- b a)) (* a a))
(- b a)
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))
(pow (/ -1 (sin b)) -1)
(/ -1 (sin b))
-1
(sin b)
b
(pow (/ (cos (+ b a)) (- 0 r)) -1)
(/ (cos (+ b a)) (- 0 r))
(cos (+ b a))
(+ b a)
a
(- 0 r)
0
r
Outputs
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64)) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64))))
(* r (sin b))
(fma.f64 r (sin.f64 b) #s(literal 0 binary64))
r
(sin b)
(sin.f64 b)
b
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))
(-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64)) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64)))
(- 0 (sin b))
(-.f64 #s(literal 0 binary64) (sin.f64 b))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)
a
(* (cos a) (cos b))
(fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64))
(cos a)
(cos.f64 a)
(cos b)
(cos.f64 b)
(/ (* r b) (cos a))
(fma.f64 r (/.f64 b (cos.f64 a)) #s(literal 0 binary64))
(* r b)
(fma.f64 r b #s(literal 0 binary64))
r
b
(cos a)
(cos.f64 a)
a
(/ (* r (sin b)) (cos b))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) #s(literal 0 binary64))
(* r (sin b))
(fma.f64 r (sin.f64 b) #s(literal 0 binary64))
r
(sin b)
(sin.f64 b)
b
(cos b)
(cos.f64 b)
(/ (* r (sin b)) (cos (/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a))))))
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (cos.f64 (/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))))
(* r (sin b))
(fma.f64 r (sin.f64 b) #s(literal 0 binary64))
r
(sin b)
(sin.f64 b)
b
(cos (/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a)))))
(cos.f64 (/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))))
(/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a))))
(/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a (-.f64 b a) (fma.f64 b (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64))))
(+ (* b (* b b)) (* a (* a a)))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
(* a (* a a))
(fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))
a
(* a a)
(fma.f64 a a #s(literal 0 binary64))
(- 0 (+ (* b (- b a)) (* a a)))
(fma.f64 a (-.f64 b a) (fma.f64 b (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(+ (* b (- b a)) (* a a))
(fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))
(- b a)
(-.f64 b a)
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (cos.f64 (+.f64 b a)))
(pow (/ -1 (sin b)) -1)
(-.f64 #s(literal 0 binary64) (sin.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)) (- 0 r)) -1)
(/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))
(/ (cos (+ b a)) (- 0 r))
(/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
a
(- 0 r)
(-.f64 #s(literal 0 binary64) r)
0
#s(literal 0 binary64)
r

localize260.0ms (2%)

Memory
-2.8MiB live, 337.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
✓accuracy99.6%
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))
✓accuracy99.6%
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
✓accuracy79.7%
(cos.f64 (+.f64 b a))
✓accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
✓accuracy96.9%
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))
✓accuracy79.7%
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
✓accuracy32.8%
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))
✓accuracy100.0%
(sin.f64 b)
✓accuracy100.0%
(cos.f64 b)
✓accuracy99.7%
(*.f64 r (sin.f64 b))
✓accuracy99.7%
(/.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))
✓accuracy99.9%
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
✓accuracy99.7%
(*.f64 r (sin.f64 b))
✓accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Samples
180.0ms202×1valid
21.0ms54×0valid
Compiler

Compiled 271 to 40 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-cos: 36.0ms (21.5% of total)
ival-mult: 30.0ms (18% of total)
ival-pow: 28.0ms (16.8% of total)
ival-sin: 22.0ms (13.2% of total)
ival-div: 19.0ms (11.4% of total)
ival-add: 13.0ms (7.8% of total)
adjust: 11.0ms (6.6% of total)
ival-sub: 8.0ms (4.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series96.0ms (0.7%)

Memory
-5.1MiB live, 112.7MiB allocated
Counts
20 → 468
Calls
Call 1
Inputs
#<alt (/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))>
#<alt (sin b)>
#<alt (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))>
#<alt (- 0 (sin b))>
#<alt (/ (* r b) (cos a))>
#<alt (cos a)>
#<alt (* r b)>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (cos b)>
#<alt (* r (sin b))>
#<alt (cos (/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a)))))>
#<alt (/ (* r (sin b)) (cos (/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a))))))>
#<alt (/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a))))>
#<alt (pow (/ -1 (sin b)) -1)>
#<alt (pow (/ (cos (+ b a)) (- 0 r)) -1)>
#<alt (* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))>
#<alt (/ -1 (sin b))>
#<alt (* (cos a) (cos b))>
#<alt (+ (* b (* b b)) (* a (* a a)))>
#<alt (cos (+ b a))>
Outputs
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt b>
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#<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 (pow a 3)>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (pow b 3)>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (pow b 3)>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<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)))>
Calls

117 calls:

TimeVariablePointExpression
27.0ms
a
@inf
(/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a))))
8.0ms
b
@0
(/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a))))
4.0ms
r
@0
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))
4.0ms
a
@-inf
(/ (* r b) (cos a))
3.0ms
b
@0
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))

rewrite404.0ms (3%)

Memory
2.6MiB live, 742.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 542×/-lowering-/.f32
4 542×/-lowering-/.f64
3 962×*-lowering-*.f32
3 962×*-lowering-*.f64
3 416×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038176
1227139
21899137
08493134
Stop Event
1×iter limit
1×node limit
Counts
20 → 862
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))
(sin b)
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))
(- 0 (sin b))
(/ (* r b) (cos a))
(cos a)
(* r b)
(/ (* r (sin b)) (cos b))
(cos b)
(* r (sin b))
(cos (/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a)))))
(/ (* r (sin b)) (cos (/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a))))))
(/ (+ (* b (* b b)) (* a (* a a))) (- 0 (+ (* b (- b a)) (* a a))))
(pow (/ -1 (sin b)) -1)
(pow (/ (cos (+ b a)) (- 0 r)) -1)
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))
(/ -1 (sin b))
(* (cos a) (cos b))
(+ (* b (* b b)) (* a (* a a)))
(cos (+ b a))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))))
(exp.f64 (+.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) (log.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.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 #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 (sin.f64 b) (-.f64 #s(literal 0 binary64) r)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(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))
(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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) #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 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.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 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(*.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))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.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 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
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(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 a)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (sin.f64 b) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)))) (*.f64 #s(literal 2 binary64) (sin.f64 b)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sin.f64 b) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sin.f64 b) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (sin.f64 b) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))))) (*.f64 #s(literal -2 binary64) (sin.f64 b)))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 a)))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (sin.f64 b) (*.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)))) (*.f64 #s(literal -2 binary64) (sin.f64 b)))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.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 b b))))))) (*.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b)))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(/.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 b b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (neg.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 b b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (neg.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))
(/.f64 (neg.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 b b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 3 binary64)) (pow.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 b b))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (fma.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 b b))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.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 b b))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.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 b b))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #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 b 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)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))

simplify402.0ms (3%)

Memory
29.1MiB live, 783.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 974×accelerator-lowering-fma.f32
8 974×accelerator-lowering-fma.f64
5 370×*-lowering-*.f32
5 370×*-lowering-*.f64
3 342×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06285635
119825287
267345194
086605022
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(/ (* 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))
(pow a 3)
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(pow b 3)
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(pow b 3)
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(pow a 3)
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(pow a 3)
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(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)))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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))))
(/ (* 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 (+.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 r (/.f64 (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 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 r (/.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 #s(literal 0 binary64) 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 r (/.f64 (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (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 r (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r a)) (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 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)))))) (/.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 (fma.f64 a (fma.f64 (fma.f64 (fma.f64 r (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.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))) (-.f64 #s(literal 0 binary64) a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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)) (+ (* -1 (* (sin a) (sin b))) (* (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))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (*.f64 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))))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(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 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 b (-.f64 (*.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (sin.f64 a)) (cos.f64 a))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 a (fma.f64 a (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* b (- (* 1/6 (pow b 2)) 1))
(*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))
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(+ (pow a 3) (pow b 3))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))
(+ (pow a 3) (pow b 3))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))
(+ (pow a 3) (pow b 3))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 a (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 a (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 a (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64))))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(+ (pow a 3) (pow b 3))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))
(+ (pow a 3) (pow b 3))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))
(+ (pow a 3) (pow b 3))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))
(pow a 3)
(*.f64 a (fma.f64 a a #s(literal 0 binary64)))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(*.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 b (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64)))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(*.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 b (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64)))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(*.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 b (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64)))
(pow a 3)
(*.f64 a (fma.f64 a a #s(literal 0 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))))))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))))))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))))))
(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 #s(literal 0 binary64) (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 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.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))))
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) 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 (fma.f64 a (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a))) (-.f64 #s(literal 0 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))

eval193.0ms (1.4%)

Memory
15.0MiB live, 293.4MiB allocated
Compiler

Compiled 38 994 to 2 741 computations (93% saved)

prune262.0ms (2%)

Memory
-21.8MiB live, 394.4MiB allocated
Pruning

71 alts after pruning (68 fresh and 3 done)

PrunedKeptTotal
New1 444561 500
Fresh161228
Picked325
Done011
Total1 463711 534
Accuracy
100.0%
Counts
1 534 → 71
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
79.4%
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))
66.2%
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
8.4%
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
34.1%
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 b))
28.3%
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 b))
88.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1/2 binary64)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
▶99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
▶58.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
62.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
52.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
29.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)))
59.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)))
98.9%
(/.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 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 b b)))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))
79.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
48.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
14.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 a (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
28.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
✓79.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
30.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
▶39.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
44.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (-.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 a b)) (*.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64)))))))))
✓60.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
50.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
32.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
27.6%
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
27.6%
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
27.6%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓47.1%
(/.f64 (*.f64 r b) (cos.f64 a))
79.5%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
46.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
60.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
24.5%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
32.2%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
99.2%
(*.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 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
99.2%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
60.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 r r #s(literal 0 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
79.4%
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
34.5%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
46.0%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
34.4%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
99.2%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #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 b 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)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))
46.4%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (fma.f64 r r #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) r))
79.3%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
79.5%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
79.4%
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
98.9%
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
60.7%
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)))
47.1%
(*.f64 (/.f64 b (cos.f64 a)) r)
46.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b)))
79.4%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
60.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
60.7%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))
60.8%
(*.f64 (tan.f64 b) r)
▶60.7%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
▶28.7%
(*.f64 r b)
28.2%
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 r #s(literal 1/3 binary64)) r))
46.7%
(*.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))))
47.1%
(*.f64 b (/.f64 r (cos.f64 a)))
47.1%
(*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
36.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
23.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64)))
26.0%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 3 037 to 1 953 computations (35.7% saved)

simplify219.0ms (1.6%)

Memory
0.2MiB live, 352.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) (sin.f64 b))
✓cost-diff0
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
✓cost-diff192
(cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
✓cost-diff3456
(*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))
✓cost-diff-64
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
✓cost-diff0
(cos.f64 b)
✓cost-diff0
(/.f64 r (cos.f64 b))
✓cost-diff0
(sin.f64 b)
✓cost-diff-64
(*.f64 r b)
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
✓cost-diff6784
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b))
✓cost-diff13888
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
Rules
6 008×accelerator-lowering-fma.f32
6 008×accelerator-lowering-fma.f64
3 790×*-lowering-*.f32
3 790×*-lowering-*.f64
1 268×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046338
198338
2187333
3430315
41151256
53561251
65940251
08490243
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (/ (- 0 (pow (sin b) 3)) (sin b)) (/ (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
r
(sin b)
b
(+ (* (/ (- 0 (pow (sin b) 3)) (sin b)) (/ (sin a) (sin b))) (* (cos a) (cos b)))
(/ (- 0 (pow (sin b) 3)) (sin b))
(- 0 (pow (sin b) 3))
0
(pow (sin b) 3)
3
(/ (sin a) (sin b))
(sin a)
a
(* (cos a) (cos b))
(cos a)
(cos b)
(* r b)
r
b
(* (sin b) (/ r (cos b)))
(sin b)
b
(/ r (cos b))
r
(cos b)
(/ (* r (sin b)) (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a))))))
(* r (sin b))
r
(sin b)
b
(cos (* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a)))))
(* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a))))
(/ (+ (* a (- a b)) (* b b)) -1)
(+ (* a (- a b)) (* b b))
a
(- a b)
(* b b)
-1
(/ (+ b a) (+ (* b (- b a)) (* a a)))
(+ b a)
(+ (* b (- b a)) (* a a))
(- b a)
(* a a)
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (+ (* a (* a -1/2)) 1) (cos b))))
(* r (sin b))
r
(sin b)
b
(+ (* (- 0 (sin b)) (sin a)) (* (+ (* a (* a -1/2)) 1) (cos b)))
(- 0 (sin b))
0
(sin a)
a
(* (+ (* a (* a -1/2)) 1) (cos b))
(+ (* a (* a -1/2)) 1)
(* a -1/2)
-1/2
1
(cos b)
Outputs
(/ (* r (sin b)) (+ (* (/ (- 0 (pow (sin b) 3)) (sin b)) (/ (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64)) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64))))
(* r (sin b))
(fma.f64 r (sin.f64 b) #s(literal 0 binary64))
r
(sin b)
(sin.f64 b)
b
(+ (* (/ (- 0 (pow (sin b) 3)) (sin b)) (/ (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64)) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64)))
(/ (- 0 (pow (sin b) 3)) (sin b))
(-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 b) #s(literal 0 binary64)))
(- 0 (pow (sin b) 3))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))
0
#s(literal 0 binary64)
(pow (sin b) 3)
(pow.f64 (sin.f64 b) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(sin a)
(sin.f64 a)
a
(* (cos a) (cos b))
(fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64))
(cos a)
(cos.f64 a)
(cos b)
(cos.f64 b)
(* r b)
(fma.f64 r b #s(literal 0 binary64))
r
b
(* (sin b) (/ r (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) #s(literal 0 binary64))
(sin b)
(sin.f64 b)
b
(/ r (cos b))
(/.f64 r (cos.f64 b))
r
(cos b)
(cos.f64 b)
(/ (* r (sin b)) (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a))))))
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (cos.f64 (+.f64 b a)))
(* r (sin b))
(fma.f64 r (sin.f64 b) #s(literal 0 binary64))
r
(sin b)
(sin.f64 b)
b
(cos (* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a)))))
(cos.f64 (+.f64 b a))
(* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a))))
(-.f64 (-.f64 #s(literal 0 binary64) b) a)
(/ (+ (* a (- a b)) (* b b)) -1)
(/.f64 (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))
(+ (* a (- a b)) (* b b))
(fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))
a
(- a b)
(-.f64 a b)
(* b b)
(fma.f64 b b #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(/ (+ b a) (+ (* b (- b a)) (* a a)))
(/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))
(+ b a)
(+.f64 b a)
(+ (* b (- b a)) (* a a))
(fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))
(- b a)
(-.f64 b a)
(* a a)
(fma.f64 a a #s(literal 0 binary64))
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (+ (* a (* a -1/2)) 1) (cos b))))
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (fma.f64 (cos.f64 b) (fma.f64 a (fma.f64 a #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) #s(literal 0 binary64))))
(* r (sin b))
(fma.f64 r (sin.f64 b) #s(literal 0 binary64))
r
(sin b)
(sin.f64 b)
b
(+ (* (- 0 (sin b)) (sin a)) (* (+ (* a (* a -1/2)) 1) (cos b)))
(fma.f64 (cos.f64 b) (fma.f64 a (fma.f64 a #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) #s(literal 0 binary64)))
(- 0 (sin b))
(-.f64 #s(literal 0 binary64) (sin.f64 b))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)
a
(* (+ (* a (* a -1/2)) 1) (cos b))
(fma.f64 (cos.f64 b) (fma.f64 a (fma.f64 a #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* a (* a -1/2)) 1)
(fma.f64 a (fma.f64 a #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* a -1/2)
(fma.f64 a #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(cos b)
(cos.f64 b)

localize269.0ms (2%)

Memory
15.3MiB live, 449.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))
✓accuracy99.7%
(*.f64 r (sin.f64 b))
✓accuracy99.7%
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))
✓accuracy94.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
✓accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
✓accuracy79.7%
(cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
✓accuracy51.7%
(/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a)))
✓accuracy51.7%
(*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))
✓accuracy100.0%
(sin.f64 b)
✓accuracy100.0%
(cos.f64 b)
✓accuracy99.8%
(/.f64 r (cos.f64 b))
✓accuracy99.7%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
✓accuracy100.0%
(*.f64 r b)
✓accuracy99.7%
(/.f64 (sin.f64 a) (sin.f64 b))
✓accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
✓accuracy99.4%
(pow.f64 (sin.f64 b) #s(literal 3 binary64))
✓accuracy91.4%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b))
Samples
173.0ms202×1valid
18.0ms54×0valid
Compiler

Compiled 329 to 48 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-mult: 37.0ms (24.2% of total)
ival-cos: 26.0ms (17% of total)
ival-div: 23.0ms (15% of total)
ival-sin: 23.0ms (15% of total)
ival-add: 15.0ms (9.8% of total)
adjust: 13.0ms (8.5% of total)
ival-sub: 8.0ms (5.2% of total)
ival-pow: 7.0ms (4.6% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory
-27.1MiB live, 85.9MiB allocated
Counts
19 → 432
Calls
Call 1
Inputs
#<alt (+ (* (/ (- 0 (pow (sin b) 3)) (sin b)) (/ (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (/ (- 0 (pow (sin b) 3)) (sin b))>
#<alt (/ (* r (sin b)) (+ (* (/ (- 0 (pow (sin b) 3)) (sin b)) (/ (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (sin b)>
#<alt (* r b)>
#<alt (/ r (cos b))>
#<alt (cos b)>
#<alt (* (sin b) (/ r (cos b)))>
#<alt (* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a))))>
#<alt (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a)))))>
#<alt (/ (* r (sin b)) (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a))))))>
#<alt (/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (+ (* a (* a -1/2)) 1) (cos b))))>
#<alt (+ (* (- 0 (sin b)) (sin a)) (* (+ (* a (* a -1/2)) 1) (cos b)))>
#<alt (- 0 (sin b))>
#<alt (pow (sin b) 3)>
#<alt (/ (sin a) (sin b))>
#<alt (/ (+ b a) (+ (* b (- b a)) (* a a)))>
#<alt (* (+ (* a (* a -1/2)) 1) (cos b))>
#<alt (* r (sin b))>
Outputs
#<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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/3 (pow b 2)) 1))>
#<alt (* (pow b 2) (- (* (pow b 2) (+ 1/3 (* -2/45 (pow b 2)))) 1))>
#<alt (* (pow b 2) (- (* (pow b 2) (+ 1/3 (* (pow b 2) (- (* 1/315 (pow b 2)) 2/45)))) 1))>
#<alt (* -1 (pow (sin b) 2))>
#<alt (* -1 (pow (sin b) 2))>
#<alt (* -1 (pow (sin b) 2))>
#<alt (* -1 (pow (sin b) 2))>
#<alt (* -1 (pow (sin b) 2))>
#<alt (* -1 (pow (sin b) 2))>
#<alt (* -1 (pow (sin b) 2))>
#<alt (* -1 (pow (sin b) 2))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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))))>
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#<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 (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))>
#<alt (/ (+ (* -4 (/ (* r (* (sin b) (+ (cos b) (* -1 (* (sin a) (sin b)))))) (* (pow a 2) (pow (cos b) 2)))) (* -2 (/ (* r (sin b)) (cos b)))) (pow a 2))>
#<alt (/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos b) (* -1 (* (sin a) (sin b)))) 2))) (* (pow a 4) (pow (cos b) 3)))) (* -2 (/ (* r (sin b)) (cos b)))) (* 4 (/ (* r (* (sin b) (+ (cos b) (* -1 (* (sin a) (sin b)))))) (* (pow a 2) (pow (cos b) 2))))) (pow a 2))>
#<alt (/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos b) (* -1 (* (sin a) (sin b)))) 3))) (* (pow a 6) (pow (cos b) 4)))) (* -2 (/ (* r (sin b)) (cos b)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos b) (* -1 (* (sin a) (sin b)))))) (* (pow a 2) (pow (cos b) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos b) (* -1 (* (sin a) (sin b)))) 2))) (* (pow a 4) (pow (cos b) 3)))))) (pow a 2))>
#<alt (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))>
#<alt (/ (+ (* -4 (/ (* r (* (sin b) (+ (cos b) (* -1 (* (sin a) (sin b)))))) (* (pow a 2) (pow (cos b) 2)))) (* -2 (/ (* r (sin b)) (cos b)))) (pow a 2))>
#<alt (/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos b) (* -1 (* (sin a) (sin b)))) 2))) (* (pow a 4) (pow (cos b) 3)))) (* -2 (/ (* r (sin b)) (cos b)))) (* 4 (/ (* r (* (sin b) (+ (cos b) (* -1 (* (sin a) (sin b)))))) (* (pow a 2) (pow (cos b) 2))))) (pow a 2))>
#<alt (/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos b) (* -1 (* (sin a) (sin b)))) 3))) (* (pow a 6) (pow (cos b) 4)))) (* -2 (/ (* r (sin b)) (cos b)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos b) (* -1 (* (sin a) (sin b)))))) (* (pow a 2) (pow (cos b) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos b) (* -1 (* (sin a) (sin b)))) 2))) (* (pow a 4) (pow (cos b) 3)))))) (pow a 2))>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (+ (* -1 (* b (sin a))) (* -1/2 (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 (sin a)) (* -1/2 (* b (+ 1 (* -1/2 (pow a 2)))))))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (+ 1 (* -1/2 (pow a 2)))) (* 1/6 (* b (sin a)))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos b) (+ 1 (* -1/2 (pow a 2)))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos b) (+ 1 (* -1/2 (pow a 2)))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos b) (+ 1 (* -1/2 (pow a 2)))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos b) (+ 1 (* -1/2 (pow a 2)))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos b) (+ 1 (* -1/2 (pow a 2)))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos b) (+ 1 (* -1/2 (pow a 2)))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos b) (+ 1 (* -1/2 (pow a 2)))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos b) (+ 1 (* -1/2 (pow a 2)))))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow a 2))) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow a 2))) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow a 2))) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2)))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow a 2))) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow a 2))) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow a 2))) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2)))))>
#<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 (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (pow b 3) (+ 1 (* (pow b 2) (- (* 13/120 (pow b 2)) 1/2))))>
#<alt (* (pow b 3) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 13/120 (* -41/3024 (pow b 2)))) 1/2))))>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (/ a (sin b))>
#<alt (* a (+ (* -1/6 (/ (pow a 2) (sin b))) (/ 1 (sin b))))>
#<alt (* a (+ (* (pow a 2) (- (* 1/120 (/ (pow a 2) (sin b))) (* 1/6 (/ 1 (sin b))))) (/ 1 (sin b))))>
#<alt (* a (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/5040 (/ (pow a 2) (sin b))) (* 1/120 (/ 1 (sin b))))) (* 1/6 (/ 1 (sin b))))) (/ 1 (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))>
#<alt (/ (sin a) b)>
#<alt (/ (+ (sin a) (* 1/6 (* (pow b 2) (sin a)))) b)>
#<alt (/ (+ (sin a) (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/36 (sin a)) (* 1/120 (sin a))))) (* -1/6 (sin a))))) b)>
#<alt (/ (+ (sin a) (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/5040 (sin a)) (+ (* 1/720 (sin a)) (* 1/6 (+ (* -1/36 (sin a)) (* 1/120 (sin a)))))))) (+ (* -1/36 (sin a)) (* 1/120 (sin a))))) (* -1/6 (sin a))))) 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))>
#<alt (/ 1 a)>
#<alt (+ (* 2 (/ b (pow a 2))) (/ 1 a))>
#<alt (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a))>
#<alt (+ (* b (+ (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (* 2 (/ 1 (pow a 2))))) (/ 1 a))>
#<alt (/ 1 b)>
#<alt (/ (- (+ 1 (/ a b)) (* -1 (/ a b))) b)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* a (- a (* -1 a)))) (pow a 2)) (pow b 2))) (/ a b))) (* -1 (/ a b))) b)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* a (+ (* -1 (* a (- a (* -1 a)))) (pow a 2))) (* (pow a 2) (- a (* -1 a)))) (pow b 3))) (/ a b))) (+ (* -1 (/ a b)) (+ (* -1 (/ (* a (- a (* -1 a))) (pow b 2))) (/ (pow a 2) (pow b 2))))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (* -1 (/ (- a (* -1 a)) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ a (+ (* -1 (/ (pow a 2) b)) (/ (* a (- a (* -1 a))) b))) (* -1 a)) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ a (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (* a (- a (* -1 a))))) b)) (/ (* (pow a 2) (- a (* -1 a))) b)) (+ (* -1 (pow a 2)) (* a (- a (* -1 a))))) b))) (* -1 a)) b)) 1) b))>
#<alt (/ 1 b)>
#<alt (+ (* 2 (/ a (pow b 2))) (/ 1 b))>
#<alt (+ (* a (+ (* 2 (/ 1 (pow b 2))) (/ a (pow b 3)))) (/ 1 b))>
#<alt (+ (* a (+ (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (* 2 (/ 1 (pow b 2))))) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (- (+ 1 (/ b a)) (* -1 (/ b a))) a)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* b (- b (* -1 b)))) (pow b 2)) (pow a 2))) (/ b a))) (* -1 (/ b a))) a)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* b (+ (* -1 (* b (- b (* -1 b)))) (pow b 2))) (* (pow b 2) (- b (* -1 b)))) (pow a 3))) (/ b a))) (+ (* -1 (/ b a)) (+ (* -1 (/ (* b (- b (* -1 b))) (pow a 2))) (/ (pow b 2) (pow a 2))))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (* -1 (/ (- b (* -1 b)) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ b (+ (* -1 (/ (pow b 2) a)) (/ (* b (- b (* -1 b))) a))) (* -1 b)) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ b (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (* b (- b (* -1 b))))) a)) (/ (* (pow b 2) (- b (* -1 b))) a)) (+ (* -1 (pow b 2)) (* b (- b (* -1 b))))) a))) (* -1 b)) a)) 1) a))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow b 2) (+ 1 (* -1/2 (pow a 2))))) (* -1/2 (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* (pow b 2) (+ (* -1/2 (+ 1 (* -1/2 (pow a 2)))) (* 1/24 (* (pow b 2) (+ 1 (* -1/2 (pow a 2)))))))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* (pow b 2) (+ (* -1/2 (+ 1 (* -1/2 (pow a 2)))) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (+ 1 (* -1/2 (pow a 2))))) (* 1/24 (+ 1 (* -1/2 (pow a 2))))))))))>
#<alt (* (cos b) (+ 1 (* -1/2 (pow a 2))))>
#<alt (* (cos b) (+ 1 (* -1/2 (pow a 2))))>
#<alt (* (cos b) (+ 1 (* -1/2 (pow a 2))))>
#<alt (* (cos b) (+ 1 (* -1/2 (pow a 2))))>
#<alt (* (cos b) (+ 1 (* -1/2 (pow a 2))))>
#<alt (* (cos b) (+ 1 (* -1/2 (pow a 2))))>
#<alt (* (cos b) (+ 1 (* -1/2 (pow a 2))))>
#<alt (* (cos b) (+ 1 (* -1/2 (pow a 2))))>
#<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))>
Calls

108 calls:

TimeVariablePointExpression
15.0ms
a
@0
(* (+ (* a (* a -1/2)) 1) (cos b))
3.0ms
b
@-inf
(/ (- 0 (pow (sin b) 3)) (sin b))
3.0ms
r
@0
(/ (* r (sin b)) (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a))))))
3.0ms
b
@inf
(pow (sin b) 3)
2.0ms
b
@inf
(/ (+ b a) (+ (* b (- b a)) (* a a)))

rewrite459.0ms (3.4%)

Memory
38.6MiB live, 634.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 834×*-lowering-*.f32
4 834×*-lowering-*.f64
4 364×/-lowering-/.f32
4 364×/-lowering-/.f64
3 506×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046231
1270191
22531188
08617177
Stop Event
1×iter limit
1×node limit
Counts
19 → 846
Calls
Call 1
Inputs
(+ (* (/ (- 0 (pow (sin b) 3)) (sin b)) (/ (sin a) (sin b))) (* (cos a) (cos b)))
(/ (- 0 (pow (sin b) 3)) (sin b))
(/ (* r (sin b)) (+ (* (/ (- 0 (pow (sin b) 3)) (sin b)) (/ (sin a) (sin b))) (* (cos a) (cos b))))
(sin b)
(* r b)
(/ r (cos b))
(cos b)
(* (sin b) (/ r (cos b)))
(* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a))))
(cos (* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a)))))
(/ (* r (sin b)) (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (/ (+ b a) (+ (* b (- b a)) (* a a))))))
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (+ (* a (* a -1/2)) 1) (cos b))))
(+ (* (- 0 (sin b)) (sin a)) (* (+ (* a (* a -1/2)) 1) (cos b)))
(- 0 (sin b))
(pow (sin b) 3)
(/ (sin a) (sin b))
(/ (+ b a) (+ (* b (- b a)) (* a a)))
(* (+ (* a (* a -1/2)) 1) (cos b))
(* r (sin b))
Outputs
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.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 b b))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 (sin.f64 a) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (/.f64 (sin.f64 a) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.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 (+.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 (neg.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 b 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)))) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.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 (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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)))))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 b) (sin.f64 a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)))
(/.f64 (sin.f64 a) (sin.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (sin.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 a) #s(literal 1 binary64)) (sin.f64 b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(pow.f64 (/.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (sin.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (+.f64 b a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (+.f64 b a))))
(/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (+.f64 b a)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (-.f64 b a)))
(/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (-.f64 b a))
(pow.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (+.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (+.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))) (+.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 b a) (fma.f64 (*.f64 b (-.f64 b a)) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 b (-.f64 b a))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 b (-.f64 b a)))))
(*.f64 (/.f64 (+.f64 b a) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 a a)))) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 a a)))
(*.f64 (pow.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(+.f64 (*.f64 (cos.f64 b) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 b) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (cos.f64 b)) (*.f64 #s(literal 1 binary64) (cos.f64 b)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (cos.f64 b)))
(fma.f64 (cos.f64 b) (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (cos.f64 b) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (cos.f64 b) (*.f64 #s(literal 1 binary64) (cos.f64 b)))
(fma.f64 #s(literal 1 binary64) (cos.f64 b) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (cos.f64 b)))
(/.f64 (*.f64 (cos.f64 b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1/8 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (cos.f64 b) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1/8 binary64) #s(literal 1 binary64)) (cos.f64 b)) (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))

simplify583.0ms (4.4%)

Memory
16.3MiB live, 764.9MiB allocated
Algorithm
1×egg-herbie
Rules
9 822×accelerator-lowering-fma.f32
9 822×accelerator-lowering-fma.f64
6 980×*-lowering-*.f32
6 980×*-lowering-*.f64
3 638×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07886838
125386401
085616068
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(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))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* -1 (pow b 2))
(* (pow b 2) (- (* 1/3 (pow b 2)) 1))
(* (pow b 2) (- (* (pow b 2) (+ 1/3 (* -2/45 (pow b 2)))) 1))
(* (pow b 2) (- (* (pow b 2) (+ 1/3 (* (pow b 2) (- (* 1/315 (pow b 2)) 2/45)))) 1))
(* -1 (pow (sin b) 2))
(* -1 (pow (sin b) 2))
(* -1 (pow (sin b) 2))
(* -1 (pow (sin b) 2))
(* -1 (pow (sin b) 2))
(* -1 (pow (sin b) 2))
(* -1 (pow (sin b) 2))
(* -1 (pow (sin b) 2))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)
(* 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)
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
r
(+ r (* 1/2 (* (pow b 2) r)))
(+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 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 b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (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)
(* 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))
(/ (* 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))
(* -1 b)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(* a (- (* -1 (/ b a)) 1))
(* a (- (* -1 (/ b a)) 1))
(* -1 a)
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (/ b a))))
(* -1 a)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(* -1 b)
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ a b)) 1))
(* -1 b)
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (/ a b))))
(cos (* -1 b))
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))
(cos (* -1 (/ (* (+ a b) (- (+ (pow a 2) (pow b 2)) (* a b))) (+ (* b (- b a)) (pow a 2)))))
(cos (* -1 (/ (* (+ a b) (- (+ (pow a 2) (pow b 2)) (* a b))) (+ (* b (- b a)) (pow a 2)))))
(cos (* -1 (/ (* (+ a b) (- (+ (pow a 2) (pow b 2)) (* a b))) (+ (* b (- b a)) (pow a 2)))))
(cos (* -1 (/ (* (+ a b) (- (+ (pow a 2) (pow b 2)) (* a b))) (+ (* b (- b a)) (pow a 2)))))
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(cos b)
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(pow (sin b) 3)
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(/ a (sin b))
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(cos b)
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(+ 1 (* -1/2 (pow a 2)))
(+ 1 (+ (* -1/2 (* (pow b 2) (+ 1 (* -1/2 (pow a 2))))) (* -1/2 (pow a 2))))
(+ 1 (+ (* -1/2 (pow a 2)) (* (pow b 2) (+ (* -1/2 (+ 1 (* -1/2 (pow a 2)))) (* 1/24 (* (pow b 2) (+ 1 (* -1/2 (pow a 2)))))))))
(+ 1 (+ (* -1/2 (pow a 2)) (* (pow b 2) (+ (* -1/2 (+ 1 (* -1/2 (pow a 2)))) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (+ 1 (* -1/2 (pow a 2))))) (* 1/24 (+ 1 (* -1/2 (pow a 2))))))))))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(* 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))
Outputs
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b) (-.f64 #s(literal 0 binary64) (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 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 a))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* (pow b 2) (- (* 1/3 (pow b 2)) 1))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal -1 binary64)))
(* (pow b 2) (- (* (pow b 2) (+ 1/3 (* -2/45 (pow b 2)))) 1))
(*.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(* (pow b 2) (- (* (pow b 2) (+ 1/3 (* (pow b 2) (- (* 1/315 (pow b 2)) 2/45)))) 1))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/315 binary64)) #s(literal -2/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(* -1 (pow (sin b) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))
(* -1 (pow (sin b) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))
(* -1 (pow (sin b) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))
(* -1 (pow (sin b) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))
(* -1 (pow (sin b) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))
(* -1 (pow (sin b) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))
(* -1 (pow (sin b) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))
(* -1 (pow (sin b) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* b r) (cos a))
(/.f64 (*.f64 b r) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 (*.f64 b r) (/.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 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)))) (/.f64 (*.f64 (sin.f64 a) r) (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 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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)))
(fma.f64 a (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (-.f64 #s(literal 0 binary64) a))) (/.f64 (*.f64 (sin.f64 b) r) (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 (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(*.f64 b (fma.f64 b (*.f64 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))))
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(pow (sin b) 3)
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(/ a (sin b))
(/.f64 a (sin.f64 b))
(* a (+ (* -1/6 (/ (pow a 2) (sin b))) (/ 1 (sin b))))
(*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a a) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(* a (+ (* (pow a 2) (- (* 1/120 (/ (pow a 2) (sin b))) (* 1/6 (/ 1 (sin b))))) (/ 1 (sin b))))
(*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 b)) a) a (/.f64 #s(literal -1/6 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(* a (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/5040 (/ (pow a 2) (sin b))) (* 1/120 (/ 1 (sin b))))) (* 1/6 (/ 1 (sin b))))) (/ 1 (sin b))))
(*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 a a) (sin.f64 b)) (/.f64 #s(literal 1/120 binary64) (sin.f64 b))) (/.f64 #s(literal -1/6 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) b)
(/.f64 (sin.f64 a) b)
(/ (+ (sin a) (* 1/6 (* (pow b 2) (sin a)))) b)
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a)) b)
(/ (+ (sin a) (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/36 (sin a)) (* 1/120 (sin a))))) (* -1/6 (sin a))))) b)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 (sin.f64 a) #s(literal 7/360 binary64)) (*.f64 (sin.f64 a) #s(literal 1/6 binary64))) (sin.f64 a)) b)
(/ (+ (sin a) (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/5040 (sin a)) (+ (* 1/720 (sin a)) (* 1/6 (+ (* -1/36 (sin a)) (* 1/120 (sin a)))))))) (+ (* -1/36 (sin a)) (* 1/120 (sin a))))) (* -1/6 (sin a))))) b)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (fma.f64 (sin.f64 a) #s(literal 1/840 binary64) (*.f64 (sin.f64 a) #s(literal -7/2160 binary64))) (*.f64 (sin.f64 a) #s(literal 7/360 binary64))) (*.f64 (sin.f64 a) #s(literal 1/6 binary64))) (sin.f64 a)) b)
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ (sin a) (sin b))
(/.f64 (sin.f64 a) (sin.f64 b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (* 2 (/ b (pow a 2))) (/ 1 a))
(fma.f64 b (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))
(+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a))
(fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
(+ (* b (+ (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (* 2 (/ 1 (pow a 2))))) (/ 1 a))
(fma.f64 b (fma.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (- (+ 1 (/ a b)) (* -1 (/ a b))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 a a) b)) b)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* a (- a (* -1 a)))) (pow a 2)) (pow b 2))) (/ a b))) (* -1 (/ a b))) b)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (*.f64 a (+.f64 a a))) (*.f64 b b))) (/.f64 (+.f64 a a) b)) b)
(/ (- (+ 1 (+ (* -1 (/ (+ (* a (+ (* -1 (* a (- a (* -1 a)))) (pow a 2))) (* (pow a 2) (- a (* -1 a)))) (pow b 3))) (/ a b))) (+ (* -1 (/ a b)) (+ (* -1 (/ (* a (- a (* -1 a))) (pow b 2))) (/ (pow a 2) (pow b 2))))) b)
(/.f64 (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (+.f64 a a)) (*.f64 a (-.f64 (*.f64 a a) (*.f64 a (+.f64 a a))))) (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a a) b)) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a a) (*.f64 b b)))) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (* -1 (/ (- a (* -1 a)) b)) 1) b))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 a a) b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (- (* -1 (/ (- (+ a (+ (* -1 (/ (pow a 2) b)) (/ (* a (- a (* -1 a))) b))) (* -1 a)) b)) 1) b))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 a (/.f64 (*.f64 a a) b)) (fma.f64 (+.f64 a a) (/.f64 a b) a)) b) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (- (* -1 (/ (- (+ a (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (* a (- a (* -1 a))))) b)) (/ (* (pow a 2) (- a (* -1 a))) b)) (+ (* -1 (pow a 2)) (* a (- a (* -1 a))))) b))) (* -1 a)) b)) 1) b))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (-.f64 a (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 a (*.f64 a (+.f64 a a))) b) (/.f64 (*.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) a) (*.f64 a (+.f64 a a)))) b)) (fma.f64 a (-.f64 #s(literal 0 binary64) a) (*.f64 a (+.f64 a a)))) b))) (-.f64 #s(literal 0 binary64) b))) b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* 2 (/ a (pow b 2))) (/ 1 b))
(fma.f64 a (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(+ (* a (+ (* 2 (/ 1 (pow b 2))) (/ a (pow b 3)))) (/ 1 b))
(fma.f64 a (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b))
(+ (* a (+ (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (* 2 (/ 1 (pow b 2))))) (/ 1 b))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (- (+ 1 (/ b a)) (* -1 (/ b a))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 b b) a)) a)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* b (- b (* -1 b)))) (pow b 2)) (pow a 2))) (/ b a))) (* -1 (/ b a))) a)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 b (+.f64 b b))) (*.f64 a a))) (/.f64 (+.f64 b b) a)) a)
(/ (- (+ 1 (+ (* -1 (/ (+ (* b (+ (* -1 (* b (- b (* -1 b)))) (pow b 2))) (* (pow b 2) (- b (* -1 b)))) (pow a 3))) (/ b a))) (+ (* -1 (/ b a)) (+ (* -1 (/ (* b (- b (* -1 b))) (pow a 2))) (/ (pow b 2) (pow a 2))))) a)
(/.f64 (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 (*.f64 b b) (*.f64 b (+.f64 b b))) (*.f64 b (*.f64 b (+.f64 b b)))) (*.f64 a (*.f64 a a)))) (/.f64 (+.f64 b b) a)) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 (*.f64 b (+.f64 b b)) (*.f64 a a)))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (- (* -1 (/ (- b (* -1 b)) a)) 1) a))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b b) a))) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (* -1 (/ (- (+ b (+ (* -1 (/ (pow b 2) a)) (/ (* b (- b (* -1 b))) a))) (* -1 b)) a)) 1) a))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 b (/.f64 (*.f64 b b) a)) (fma.f64 b (/.f64 (+.f64 b b) a) b)) (-.f64 #s(literal 0 binary64) a))) a))
(* -1 (/ (- (* -1 (/ (- (+ b (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (* b (- b (* -1 b))))) a)) (/ (* (pow b 2) (- b (* -1 b))) a)) (+ (* -1 (pow b 2)) (* b (- b (* -1 b))))) a))) (* -1 b)) a)) 1) a))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (-.f64 b (/.f64 (-.f64 (fma.f64 b (/.f64 (*.f64 b (+.f64 b b)) a) (/.f64 (*.f64 b (fma.f64 b (+.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) a))) (fma.f64 b (+.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) a))) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1/2 (* (pow a 2) (cos b)))
(*.f64 (cos.f64 b) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))
(* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))))
(* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))))
(* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))))
(* -1/2 (* (pow a 2) (cos b)))
(*.f64 (cos.f64 b) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))
(* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))))
(* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))))
(* (pow a 2) (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))))
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* (pow b 2) (+ 1 (* -1/2 (pow a 2))))) (* -1/2 (pow a 2))))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (fma.f64 b (*.f64 b (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow a 2)) (* (pow b 2) (+ (* -1/2 (+ 1 (* -1/2 (pow a 2)))) (* 1/24 (* (pow b 2) (+ 1 (* -1/2 (pow a 2)))))))))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow a 2)) (* (pow b 2) (+ (* -1/2 (+ 1 (* -1/2 (pow a 2)))) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (+ 1 (* -1/2 (pow a 2))))) (* 1/24 (+ 1 (* -1/2 (pow a 2))))))))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos b) (+ 1 (* -1/2 (pow a 2))))
(*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* b r)
(*.f64 b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (fma.f64 b (*.f64 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 b (*.f64 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 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)

eval355.0ms (2.7%)

Memory
-2.7MiB live, 319.9MiB allocated
Compiler

Compiled 55 780 to 4 088 computations (92.7% saved)

prune423.0ms (3.2%)

Memory
-15.1MiB live, 384.8MiB allocated
Pruning

79 alts after pruning (73 fresh and 6 done)

PrunedKeptTotal
New1 467211 488
Fresh115263
Picked235
Done033
Total1 480791 559
Accuracy
100.0%
Counts
1 559 → 79
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
79.4%
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))
66.2%
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
66.1%
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
8.4%
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
34.1%
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 b))
28.3%
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 b))
58.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
88.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1/2 binary64)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
62.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
52.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
56.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
29.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)))
59.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)))
98.9%
(/.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 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 b b)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))
79.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
48.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
14.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 a (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
28.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
✓79.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
39.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (/.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))))
21.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))))
▶17.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
✓39.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
26.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 b b) a)) a))))
30.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))))
29.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))))
✓60.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
50.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
27.6%
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
27.6%
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
27.6%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓47.1%
(/.f64 (*.f64 r b) (cos.f64 a))
60.6%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
79.5%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
46.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
60.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
24.5%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
32.2%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
99.2%
(*.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 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
99.2%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
60.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 r r #s(literal 0 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
79.4%
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
▶34.5%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
46.0%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
46.2%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.f64 r (cos.f64 b)))
34.4%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
99.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) r)
46.4%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (fma.f64 r r #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) r))
79.3%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
79.5%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
79.4%
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
47.1%
(*.f64 (/.f64 b (cos.f64 a)) r)
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 b) r))
46.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b)))
79.4%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
60.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
▶60.7%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))
60.8%
(*.f64 (tan.f64 b) r)
▶99.5%
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
✓60.7%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
32.5%
(*.f64 (sin.f64 b) r)
60.7%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
✓28.7%
(*.f64 r b)
46.8%
(*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
▶28.2%
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
47.1%
(*.f64 b (/.f64 r (cos.f64 a)))
47.1%
(*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
36.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
23.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64)))
26.0%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 3 219 to 2 104 computations (34.6% saved)

simplify445.0ms (3.3%)

Memory
-27.8MiB live, 418.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))
✓cost-diff192
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))
✓cost-diff512
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
✓cost-diff1216
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r))
✓cost-diff0
(*.f64 r (sin.f64 b))
✓cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
✓cost-diff384
(/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64))
✓cost-diff640
(fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
✓cost-diff0
(*.f64 r (sin.f64 b))
✓cost-diff0
(cos.f64 b)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 b))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
✓cost-diff0
(*.f64 r #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)
✓cost-diff0
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
✓cost-diff0
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
✓cost-diff0
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
Rules
8 048×accelerator-lowering-fma.f32
8 048×accelerator-lowering-fma.f64
3 716×*-lowering-*.f32
3 716×*-lowering-*.f64
2 814×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056404
1143402
2354393
3941380
43633378
57044378
08042364
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sin b) (/ r (+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b)))))
(sin b)
b
(/ r (+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b))))
r
(+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b)))
(sin a)
a
(- 0 (sin b))
0
(* (cos a) (cos b))
(cos a)
(cos b)
(* b (+ (* (* b b) (* r 1/3)) r))
b
(+ (* (* b b) (* r 1/3)) r)
(* b b)
(* r 1/3)
r
1/3
(* (/ 1 (cos b)) (* r (sin b)))
(/ 1 (cos b))
1
(cos b)
b
(* r (sin b))
r
(sin b)
(/ (* r (sin b)) (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a)))))
(* r (sin b))
r
(sin b)
b
(cos (* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a))))
(* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a)))
(/ (+ (* a (- a b)) (* b b)) -1)
(+ (* a (- a b)) (* b b))
a
(- a b)
(* b b)
-1
(+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a))
(+ (/ 2 (* a a)) (/ b (* a (* a a))))
(/ 2 (* a a))
2
(* a a)
(/ b (* a (* a a)))
(* a (* a a))
(/ 1 a)
1
(* (/ (- 0 (pow (sin b) 3)) (cos (+ b a))) (/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r)))
(/ (- 0 (pow (sin b) 3)) (cos (+ b a)))
(- 0 (pow (sin b) 3))
0
(pow (sin b) 3)
(sin b)
b
3
(cos (+ b a))
(+ b a)
a
(/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r))
(/ 1 (- 1/2 (* 1/2 (cos (+ b b)))))
1
(- 1/2 (* 1/2 (cos (+ b b))))
1/2
(* 1/2 (cos (+ b b)))
(cos (+ b b))
(+ b b)
(/ -1 r)
-1
r
Outputs
(* (sin b) (/ r (+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64))))
(sin b)
(sin.f64 b)
b
(/ r (+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64))))
r
(+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64)))
(sin a)
(sin.f64 a)
a
(- 0 (sin b))
(-.f64 #s(literal 0 binary64) (sin.f64 b))
0
#s(literal 0 binary64)
(* (cos a) (cos b))
(fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64))
(cos a)
(cos.f64 a)
(cos b)
(cos.f64 b)
(* b (+ (* (* b b) (* r 1/3)) r))
(*.f64 b (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64))))
b
(+ (* (* b b) (* r 1/3)) r)
(*.f64 r (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* b b)
(*.f64 b b)
(* r 1/3)
(*.f64 r #s(literal 1/3 binary64))
r
1/3
#s(literal 1/3 binary64)
(* (/ 1 (cos b)) (* r (sin b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/ 1 (cos b))
(/.f64 #s(literal 1 binary64) (cos.f64 b))
1
#s(literal 1 binary64)
(cos b)
(cos.f64 b)
b
(* r (sin b))
(*.f64 (sin.f64 b) r)
r
(sin b)
(sin.f64 b)
(/ (* r (sin b)) (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
r
(sin b)
(sin.f64 b)
b
(cos (* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a))))
(cos.f64 (*.f64 (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
(* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a)))
(*.f64 (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))
(/ (+ (* a (- a b)) (* b b)) -1)
(*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal -1 binary64))
(+ (* a (- a b)) (* b b))
(fma.f64 b (-.f64 b a) (*.f64 a a))
a
(- a b)
(-.f64 a b)
(* b b)
(*.f64 b b)
-1
#s(literal -1 binary64)
(+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a))
(fma.f64 (/.f64 b (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(+ (/ 2 (* a a)) (/ b (* a (* a a))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a))))
(/ 2 (* a a))
(/.f64 #s(literal 2 binary64) (*.f64 a a))
2
#s(literal 2 binary64)
(* a a)
(*.f64 a a)
(/ b (* a (* a a)))
(/.f64 b (*.f64 a (*.f64 a a)))
(* a (* a a))
(*.f64 a (*.f64 a a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(* (/ (- 0 (pow (sin b) 3)) (cos (+ b a))) (/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r)))
(fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(/ (- 0 (pow (sin b) 3)) (cos (+ b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a)))
(- 0 (pow (sin b) 3))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))
0
#s(literal 0 binary64)
(pow (sin b) 3)
(pow.f64 (sin.f64 b) #s(literal 3 binary64))
(sin b)
(sin.f64 b)
b
3
#s(literal 3 binary64)
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
a
(/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r))
(/.f64 r (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64)))
(/ 1 (- 1/2 (* 1/2 (cos (+ b b)))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b b))))
1
#s(literal 1 binary64)
(- 1/2 (* 1/2 (cos (+ b b))))
(fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ b b)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 0 binary64))
(cos (+ b b))
(cos.f64 (+.f64 b b))
(+ b b)
(+.f64 b b)
(/ -1 r)
(/.f64 #s(literal -1 binary64) r)
-1
#s(literal -1 binary64)
r

localize944.0ms (7.1%)

Memory
9.3MiB live, 608.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy95.8%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r))
✓accuracy79.7%
(cos.f64 (+.f64 b a))
✓accuracy77.0%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))
✓accuracy74.6%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
✓accuracy92.6%
(fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
✓accuracy89.6%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a))))
✓accuracy69.9%
(*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))
✓accuracy43.2%
(cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))))
✓accuracy100.0%
(cos.f64 b)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 b))
✓accuracy99.7%
(*.f64 r (sin.f64 b))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
✓accuracy100.0%
(*.f64 b b)
✓accuracy99.9%
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
✓accuracy99.4%
(*.f64 r #s(literal 1/3 binary64))
✓accuracy93.3%
(fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)
✓accuracy99.9%
(*.f64 (cos.f64 a) (cos.f64 b))
✓accuracy99.9%
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
✓accuracy99.7%
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
✓accuracy99.6%
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
Samples
446.0ms64×2valid
313.0ms176×1valid
31.0ms16×3valid
Compiler

Compiled 413 to 58 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 387.0ms
ival-mult: 86.0ms (22.2% of total)
ival-cos: 83.0ms (21.4% of total)
const: 77.0ms (19.9% of total)
ival-div: 57.0ms (14.7% of total)
adjust: 24.0ms (6.2% of total)
ival-sin: 20.0ms (5.2% of total)
ival-add: 15.0ms (3.9% of total)
ival-pow: 14.0ms (3.6% of total)
ival-sub: 10.0ms (2.6% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series119.0ms (0.9%)

Memory
6.0MiB live, 125.5MiB allocated
Counts
24 → 540
Calls
Call 1
Inputs
#<alt (* (sin b) (/ r (+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b)))))>
#<alt (sin b)>
#<alt (/ r (+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b))))>
#<alt (+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b)))>
#<alt (* b (+ (* (* b b) (* r 1/3)) r))>
#<alt (+ (* (* b b) (* r 1/3)) r)>
#<alt (* b b)>
#<alt (* r 1/3)>
#<alt (* (/ 1 (cos b)) (* r (sin b)))>
#<alt (/ 1 (cos b))>
#<alt (cos b)>
#<alt (* r (sin b))>
#<alt (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a))>
#<alt (/ (+ (* a (- a b)) (* b b)) -1)>
#<alt (/ (* r (sin b)) (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a)))))>
#<alt (/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r))>
#<alt (* (/ (- 0 (pow (sin b) 3)) (cos (+ b a))) (/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r)))>
#<alt (/ 1 (- 1/2 (* 1/2 (cos (+ b b)))))>
#<alt (- 1/2 (* 1/2 (cos (+ b b))))>
#<alt (* (cos a) (cos b))>
#<alt (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a))))>
#<alt (* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a)))>
#<alt (+ (/ 2 (* a a)) (/ b (* a (* a a))))>
#<alt (cos (+ b a))>
Outputs
#<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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (cos b))>
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* 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 (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (cos a))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (* b (- (* -1 (* b (+ (* -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 (- (* -1 (* 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 (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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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>
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#<alt (/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 1/3 (pow b 2))) (pow b 2))>
#<alt (/ (+ 1 (* (pow b 2) (+ 1/3 (* 1/15 (pow b 2))))) (pow b 2))>
#<alt (/ (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 1/15 (* 2/189 (pow b 2))))))) (pow b 2))>
#<alt (/ 1 (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (/ 1 (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (/ 1 (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (/ 1 (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 b))))))>
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 b))))))>
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 b))))))>
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 b))))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1/3 (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (* (pow b 2) (- (* 2/45 (pow b 2)) 1/3))))>
#<alt (* (pow b 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 2/45 (* -1/315 (pow b 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 b)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 b)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 b)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 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 (* -1 (* (+ (* a (- a b)) (pow b 2)) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))))>
#<alt (cos (* -1 (* (+ (* a (- a b)) (pow b 2)) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))))>
#<alt (cos (* -1 (* (+ (* a (- a b)) (pow b 2)) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))))>
#<alt (cos (* -1 (* (+ (* a (- a b)) (pow b 2)) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))))>
#<alt (cos (* -1 (* (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (cos (* -1 (* (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (cos (* -1 (* (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (cos (* -1 (* (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (cos (* -1 (* (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))))>
#<alt (cos (* -1 (* (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))))>
#<alt (cos (* -1 (* (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))))>
#<alt (cos (* -1 (* (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))))>
#<alt (cos (* -1 a))>
#<alt (+ (cos (* -1 a)) (* b (sin (* -1 a))))>
#<alt (+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))>
#<alt (+ (cos (* -1 a)) (* b (- (* b (+ (* -1 (* b (* (sin (* -1 a)) (- 1/6 (/ 1 (pow a 2)))))) (* -1/2 (cos (* -1 a))))) (* -1 (sin (* -1 a))))))>
#<alt (cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))>
#<alt (cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))>
#<alt (cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))>
#<alt (cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))>
#<alt (cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))>
#<alt (cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))>
#<alt (cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))>
#<alt (cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))>
#<alt (* -1 (/ (pow b 4) (pow a 3)))>
#<alt (/ (+ (* -1 (* a (+ (* -1 (pow b 3)) (* 2 (pow b 3))))) (* -1 (pow b 4))) (pow a 3))>
#<alt (/ (+ (* -1 (pow b 4)) (* a (+ (* -1 (* a (+ (* -2 (pow b 2)) (* 2 (pow b 2))))) (* -1 (+ (* -1 (pow b 3)) (* 2 (pow b 3))))))) (pow a 3))>
#<alt (/ (+ (* -1 (pow b 4)) (* a (+ (* -1 (+ (* -1 (pow b 3)) (* 2 (pow b 3)))) (* a (+ (* -1 (* a (+ (* -1 b) (* 2 b)))) (* -1 (+ (* -2 (pow b 2)) (* 2 (pow b 2))))))))) (pow a 3))>
#<alt (* -1 a)>
#<alt (* a (- (* -1 (/ (+ (* -1 b) (* 2 b)) a)) 1))>
#<alt (* a (- (+ (* -1 (/ (+ (* -2 (pow b 2)) (* 2 (pow b 2))) (pow a 2))) (* -1 (/ (+ (* -1 b) (* 2 b)) a))) 1))>
#<alt (* a (- (+ (* -1 (/ (+ (* -2 (pow b 2)) (* 2 (pow b 2))) (pow a 2))) (+ (* -1 (/ (+ (* -1 b) (* 2 b)) a)) (* -1 (/ (+ (* -1 (pow b 3)) (* 2 (pow b 3))) (pow a 3))))) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (+ (* -1 (/ b a)) (* 2 (/ b a))))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ (* -1 b) (* 2 b))) (* 2 (/ (pow b 2) a)))) a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 b) (* 2 b))) (* -1 (/ (+ (* -1 (+ (* -2 (pow b 2)) (* 2 (pow b 2)))) (+ (* -1 (/ (pow b 3) a)) (* 2 (/ (pow b 3) a)))) a))) a)))))>
#<alt (* -1 a)>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (+ (* -1 a) (* b (- (* -1 (/ (pow b 2) (pow a 2))) 1)))>
#<alt (+ (* -1 a) (* b (- (* (pow b 2) (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) 1)))>
#<alt (* -1 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3)))))>
#<alt (* (pow b 4) (- (* -1 (/ (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) b)) (/ 1 (pow a 3))))>
#<alt (* (pow b 4) (- (* -1 (/ a (pow b 4))) (+ (/ 1 (* (pow a 2) b)) (+ (/ 1 (pow a 3)) (/ 1 (pow b 3))))))>
#<alt (* -1 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3)))))>
#<alt (* (pow b 4) (- (* -1 (/ (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) b)) (/ 1 (pow a 3))))>
#<alt (* (pow b 4) (- (* -1 (/ (+ (/ 1 (pow a 2)) (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) b)) (/ 1 (pow a 3))))>
#<alt (/ b (pow a 3))>
#<alt (/ (+ b (* 2 a)) (pow a 3))>
#<alt (/ (+ b (* 2 a)) (pow a 3))>
#<alt (/ (+ b (* 2 a)) (pow a 3))>
#<alt (/ 2 (pow a 2))>
#<alt (/ (+ 2 (/ b a)) (pow a 2))>
#<alt (/ (+ 2 (/ b a)) (pow a 2))>
#<alt (/ (+ 2 (/ b a)) (pow a 2))>
#<alt (/ 2 (pow a 2))>
#<alt (/ (+ 2 (/ b a)) (pow a 2))>
#<alt (/ (+ 2 (/ b a)) (pow a 2))>
#<alt (/ (+ 2 (/ b a)) (pow a 2))>
#<alt (/ 2 (pow a 2))>
#<alt (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))>
#<alt (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))>
#<alt (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))>
#<alt (/ b (pow a 3))>
#<alt (* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))>
#<alt (* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))>
#<alt (* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))>
#<alt (/ b (pow a 3))>
#<alt (* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))>
#<alt (* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))>
#<alt (* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))>
#<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)))>
Calls

135 calls:

TimeVariablePointExpression
61.0ms
r
@0
(/ (* r (sin b)) (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a)))))
3.0ms
r
@inf
(/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r))
2.0ms
a
@inf
(* (/ (- 0 (pow (sin b) 3)) (cos (+ b a))) (/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r)))
2.0ms
r
@0
(/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r))
1.0ms
r
@0
(* (/ (- 0 (pow (sin b) 3)) (cos (+ b a))) (/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r)))

rewrite341.0ms (2.6%)

Memory
30.4MiB live, 780.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 094×/-lowering-/.f32
4 094×/-lowering-/.f64
3 432×*-lowering-*.f32
3 432×*-lowering-*.f64
2 246×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056297
1358230
23563228
08163213
Stop Event
1×iter limit
1×node limit
Counts
24 → 718
Calls
Call 1
Inputs
(* (sin b) (/ r (+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b)))))
(sin b)
(/ r (+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b))))
(+ (* (sin a) (- 0 (sin b))) (* (cos a) (cos b)))
(* b (+ (* (* b b) (* r 1/3)) r))
(+ (* (* b b) (* r 1/3)) r)
(* b b)
(* r 1/3)
(* (/ 1 (cos b)) (* r (sin b)))
(/ 1 (cos b))
(cos b)
(* r (sin b))
(+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a))
(/ (+ (* a (- a b)) (* b b)) -1)
(/ (* r (sin b)) (cos (* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a)))))
(/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r))
(* (/ (- 0 (pow (sin b) 3)) (cos (+ b a))) (/ (/ 1 (- 1/2 (* 1/2 (cos (+ b b))))) (/ -1 r)))
(/ 1 (- 1/2 (* 1/2 (cos (+ b b)))))
(- 1/2 (* 1/2 (cos (+ b b))))
(* (cos a) (cos b))
(cos (* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a))))
(* (/ (+ (* a (- a b)) (* b b)) -1) (+ (* b (+ (/ 2 (* a a)) (/ b (* a (* a a))))) (/ 1 a)))
(+ (/ 2 (* a a)) (/ b (* a (* a a))))
(cos (+ b a))
Outputs
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) r)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) r))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.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)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(+.f64 (sin.f64 b) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 b))
(exp.f64 (log.f64 (sin.f64 b)))
(sin.f64 b)
(/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)))
(neg.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
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(/.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (fma.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.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)) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.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 (+.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 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.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)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(/.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (fma.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.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)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (neg.f64 (cos.f64 (-.f64 a b))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.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)))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.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))))))
(*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))

simplify521.0ms (3.9%)

Memory
-33.7MiB live, 1 126.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 872×accelerator-lowering-fma.f32
9 872×accelerator-lowering-fma.f64
7 238×*-lowering-*.f32
7 238×*-lowering-*.f64
3 686×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07918148
125277763
085687465
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(/ (* 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* 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 (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -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 (- (* -1 (* 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 (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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* 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)
(* 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))
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(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1 (* b (* (sin (* -1 a)) (- 1/6 (/ 1 (pow a 2)))))) (* -1/2 (cos (* -1 a))))) (* -1 (sin (* -1 a))))))
(cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))
(cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))
(cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))
(cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))
(cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))
(cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))
(cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))
(cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))
(* -1 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1 (* a (+ (* -1 (pow b 3)) (* 2 (pow b 3))))) (* -1 (pow b 4))) (pow a 3))
(/ (+ (* -1 (pow b 4)) (* a (+ (* -1 (* a (+ (* -2 (pow b 2)) (* 2 (pow b 2))))) (* -1 (+ (* -1 (pow b 3)) (* 2 (pow b 3))))))) (pow a 3))
(/ (+ (* -1 (pow b 4)) (* a (+ (* -1 (+ (* -1 (pow b 3)) (* 2 (pow b 3)))) (* a (+ (* -1 (* a (+ (* -1 b) (* 2 b)))) (* -1 (+ (* -2 (pow b 2)) (* 2 (pow b 2))))))))) (pow a 3))
(* -1 a)
(* a (- (* -1 (/ (+ (* -1 b) (* 2 b)) a)) 1))
(* a (- (+ (* -1 (/ (+ (* -2 (pow b 2)) (* 2 (pow b 2))) (pow a 2))) (* -1 (/ (+ (* -1 b) (* 2 b)) a))) 1))
(* a (- (+ (* -1 (/ (+ (* -2 (pow b 2)) (* 2 (pow b 2))) (pow a 2))) (+ (* -1 (/ (+ (* -1 b) (* 2 b)) a)) (* -1 (/ (+ (* -1 (pow b 3)) (* 2 (pow b 3))) (pow a 3))))) 1))
(* -1 a)
(* -1 (* a (+ 1 (+ (* -1 (/ b a)) (* 2 (/ b a))))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ (* -1 b) (* 2 b))) (* 2 (/ (pow b 2) a)))) a)))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 b) (* 2 b))) (* -1 (/ (+ (* -1 (+ (* -2 (pow b 2)) (* 2 (pow b 2)))) (+ (* -1 (/ (pow b 3) a)) (* 2 (/ (pow b 3) a)))) a))) a)))))
(* -1 a)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* b (- (* -1 (/ (pow b 2) (pow a 2))) 1)))
(+ (* -1 a) (* b (- (* (pow b 2) (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) 1)))
(* -1 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3)))))
(* (pow b 4) (- (* -1 (/ (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) b)) (/ 1 (pow a 3))))
(* (pow b 4) (- (* -1 (/ a (pow b 4))) (+ (/ 1 (* (pow a 2) b)) (+ (/ 1 (pow a 3)) (/ 1 (pow b 3))))))
(* -1 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3)))))
(* (pow b 4) (- (* -1 (/ (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) b)) (/ 1 (pow a 3))))
(* (pow b 4) (- (* -1 (/ (+ (/ 1 (pow a 2)) (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) b)) (/ 1 (pow a 3))))
(/ b (pow a 3))
(/ (+ b (* 2 a)) (pow a 3))
(/ (+ b (* 2 a)) (pow a 3))
(/ (+ b (* 2 a)) (pow a 3))
(/ 2 (pow a 2))
(/ (+ 2 (/ b a)) (pow a 2))
(/ (+ 2 (/ b a)) (pow a 2))
(/ (+ 2 (/ b a)) (pow a 2))
(/ 2 (pow a 2))
(/ (+ 2 (/ b a)) (pow a 2))
(/ (+ 2 (/ b a)) (pow a 2))
(/ (+ 2 (/ b a)) (pow a 2))
(/ 2 (pow a 2))
(+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))
(+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))
(+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))
(/ b (pow a 3))
(* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))
(* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))
(* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))
(/ b (pow a 3))
(* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))
(* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))
(* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))
(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)))
Outputs
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (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 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 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 (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 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)))) (-.f64 #s(literal 0 binary64) b) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* 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 (*.f64 a r) (/.f64 (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 (- (* -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 (fma.f64 (/.f64 r (cos.f64 b)) (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) a) (/.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 (+ (* -1/2 (/ (* 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 (fma.f64 a (neg.f64 (fma.f64 a (fma.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) (/.f64 (*.f64 (sin.f64 b) (fma.f64 (/.f64 r (cos.f64 b)) (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b))) (fma.f64 (/.f64 r (cos.f64 b)) (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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))))
(*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64)))
(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)
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(fma.f64 (*.f64 a r) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b)))) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b)))
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(* (cos a) (cos b))
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(* (cos a) (cos b))
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(cos (* -1 (* (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))))
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(cos (* -1 (* (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))))
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(cos (* -1 (* (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))))
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(cos (* -1 a))
(cos.f64 a)
(+ (cos (* -1 a)) (* b (sin (* -1 a))))
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(cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))
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(cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))
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(cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))
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(cos (* -1 (* (+ (* 2 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (+ (* a (- a b)) (pow b 2)))))
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(cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))
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(cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))
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(cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))
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(cos (* -1 (* (+ (* a (+ a (* -1 b))) (pow b 2)) (+ (* b (- (* 2 (/ 1 (pow a 2))) (* -1 (/ b (pow a 3))))) (/ 1 a)))))
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(* -1 (/ (pow b 4) (pow a 3)))
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(/ (+ (* -1 (* a (+ (* -1 (pow b 3)) (* 2 (pow b 3))))) (* -1 (pow b 4))) (pow a 3))
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(/ (+ (* -1 (pow b 4)) (* a (+ (* -1 (* a (+ (* -2 (pow b 2)) (* 2 (pow b 2))))) (* -1 (+ (* -1 (pow b 3)) (* 2 (pow b 3))))))) (pow a 3))
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(/ (+ (* -1 (pow b 4)) (* a (+ (* -1 (+ (* -1 (pow b 3)) (* 2 (pow b 3)))) (* a (+ (* -1 (* a (+ (* -1 b) (* 2 b)))) (* -1 (+ (* -2 (pow b 2)) (* 2 (pow b 2))))))))) (pow a 3))
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(* a (- (* -1 (/ (+ (* -1 b) (* 2 b)) a)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 b a) a))
(* a (- (+ (* -1 (/ (+ (* -2 (pow b 2)) (* 2 (pow b 2))) (pow a 2))) (* -1 (/ (+ (* -1 b) (* 2 b)) a))) 1))
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(/ b (pow a 3))
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(/ (+ b (* 2 a)) (pow a 3))
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(/ (+ b (* 2 a)) (pow a 3))
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(/ (+ b (* 2 a)) (pow a 3))
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(/ 2 (pow a 2))
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(/ (+ 2 (/ b a)) (pow a 2))
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(/ (+ 2 (/ b a)) (pow a 2))
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(/ (+ 2 (/ b a)) (pow a 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 b a)) (*.f64 a a))
(/ 2 (pow a 2))
(/.f64 #s(literal 2 binary64) (*.f64 a a))
(/ (+ 2 (/ b a)) (pow a 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 b a)) (*.f64 a a))
(/ (+ 2 (/ b a)) (pow a 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 b a)) (*.f64 a a))
(/ (+ 2 (/ b a)) (pow a 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 b a)) (*.f64 a a))
(/ 2 (pow a 2))
(/.f64 #s(literal 2 binary64) (*.f64 a a))
(+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))
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(+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))
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(/ b (pow a 3))
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(* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))
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(* b (+ (* 2 (/ 1 (* (pow a 2) b))) (/ 1 (pow a 3))))
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(/ b (pow a 3))
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(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
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(cos (+ a b))
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(cos (- a (* -1 b)))
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(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #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 (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b)))) (-.f64 #s(literal 0 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))

eval197.0ms (1.5%)

Memory
56.2MiB live, 438.3MiB allocated
Compiler

Compiled 45 046 to 3 740 computations (91.7% saved)

prune558.0ms (4.2%)

Memory
-184.6MiB live, 584.1MiB allocated
Pruning

106 alts after pruning (98 fresh and 8 done)

PrunedKeptTotal
New1 376411 417
Fresh115768
Picked235
Done156
Total1 3901061 496
Accuracy
100.0%
Counts
1 496 → 106
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.2%
(fma.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) b (*.f64 b r))
30.0%
(/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
79.4%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r))
79.4%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
34.4%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))))
79.4%
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))
34.4%
(/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
22.1%
(/.f64 (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))
34.0%
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (*.f64 (cos.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))
5.5%
(/.f64 (*.f64 r (/.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b))) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
66.1%
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
8.4%
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
34.1%
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 b))
28.3%
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 b))
58.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
88.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1/2 binary64)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
62.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
52.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
56.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
29.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)))
59.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)))
79.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
48.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
33.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (fma.f64 b (fma.f64 (*.f64 b b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))))
38.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (fma.f64 b (+.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))))
17.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) (-.f64 (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) a)))))
14.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 a (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
28.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
✓79.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
39.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (/.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))))
4.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) b) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))))))
4.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 a (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))))))
21.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))))
26.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 b a) #s(literal 1 binary64)) a))))
10.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) b)) (*.f64 a (*.f64 a a))))))
10.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a a))))))
30.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))))
29.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))))
14.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
✓60.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
50.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
27.6%
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
27.6%
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
27.6%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓47.1%
(/.f64 (*.f64 r b) (cos.f64 a))
79.4%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
60.6%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
79.5%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
79.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
46.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
60.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
24.5%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
42.0%
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 r (sin.f64 b)))
32.2%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
99.2%
(*.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 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
99.2%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
60.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 r r #s(literal 0 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
66.2%
(*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b)) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
54.1%
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
79.4%
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
19.5%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 b b)))
34.1%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
46.0%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
46.2%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.f64 r (cos.f64 b)))
99.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) r)
46.4%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (fma.f64 r r #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) r))
47.1%
(*.f64 (/.f64 b (cos.f64 a)) r)
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 b) r))
46.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b)))
79.4%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
60.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
46.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (/.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b))))
✓60.7%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))
10.8%
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
60.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)) r)
60.8%
(*.f64 (tan.f64 b) r)
99.4%
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))))
✓99.5%
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
62.1%
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))))
52.0%
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a))))
48.5%
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))
99.4%
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓60.7%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
50.7%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
79.4%
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))
41.2%
(*.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))))
32.5%
(*.f64 (sin.f64 b) r)
79.5%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
✓28.7%
(*.f64 r b)
✓28.2%
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
22.7%
(*.f64 b (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 b (*.f64 b r)) (*.f64 b (*.f64 b r))) #s(literal 1/9 binary64))) (-.f64 r (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))))))
47.1%
(*.f64 b (/.f64 r (cos.f64 a)))
22.5%
(*.f64 b (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))))
47.1%
(*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
14.1%
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
13.8%
(*.f64 b (*.f64 b (*.f64 b (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b))))))
36.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
23.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64)))
26.0%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 5 395 to 2 071 computations (61.6% saved)

regimes189.0ms (1.4%)

Memory
18.4MiB live, 370.2MiB allocated
Counts
152 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) b (*.f64 b r))
(/.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 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #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))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 b (*.f64 b r)) (*.f64 b (*.f64 b r))) #s(literal 1/9 binary64))) (-.f64 r (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))
(*.f64 b (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))))
(*.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 (*.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 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 b))
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64)))) (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 (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 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r))
(*.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 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (fma.f64 r r #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (fma.f64 b (+.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (/.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 b b) a)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) b)) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (fma.f64 b (fma.f64 (*.f64 b b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (-.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 a b)) (*.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64)))))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 a (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 r (sin.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.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) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (/.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 b b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) b) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 a (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) (-.f64 (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (*.f64 r (/.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b))) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.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)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (*.f64 (cos.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)))
(*.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))))
(*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) #s(literal 0 binary64))) (cos.f64 b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.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 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 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 b) r))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))))
(*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b)) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1/2 binary64)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(*.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 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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) 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 r (sin.f64 b)) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 (sin.f64 a) (sin.f64 b)) (*.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 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 b b)))))) (-.f64 (neg.f64 (*.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 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 b b)))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 r r #s(literal 0 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #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 b 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)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
Calls

4 calls:

50.0ms
b
46.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
44.0ms
a
41.0ms
r
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes186.0ms (1.4%)

Memory
-0.6MiB live, 192.0MiB allocated
Counts
127 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) b (*.f64 b r))
(/.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 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #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))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 b (*.f64 b r)) (*.f64 b (*.f64 b r))) #s(literal 1/9 binary64))) (-.f64 r (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))
(*.f64 b (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))))
(*.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 (*.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 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 b))
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64)))) (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 (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 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r))
(*.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 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (fma.f64 r r #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (fma.f64 b (+.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (/.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 b b) a)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) b)) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (fma.f64 b (fma.f64 (*.f64 b b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (-.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 a b)) (*.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64)))))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 a (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 r (sin.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.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) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (/.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 b b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) b) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 a (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) (-.f64 (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (*.f64 r (/.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b))) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.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)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (*.f64 (cos.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)))
(*.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))))
(*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) #s(literal 0 binary64))) (cos.f64 b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.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 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 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Calls

4 calls:

77.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
34.0ms
a
34.0ms
r
34.0ms
b
Results
AccuracySegmentsBranch
99.4%1r
99.4%1a
99.4%1b
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes147.0ms (1.1%)

Memory
-8.7MiB live, 166.7MiB allocated
Counts
126 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 r #s(literal 1/3 binary64)) r))
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) #s(literal 0 binary64))) (cos.f64 b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.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 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
Calls

4 calls:

38.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
35.0ms
b
35.0ms
r
34.0ms
a
Results
AccuracySegmentsBranch
99.4%1r
99.4%1a
99.4%1b
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes140.0ms (1%)

Memory
-14.6MiB live, 144.6MiB allocated
Counts
123 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) b (*.f64 b r))
(/.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 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #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))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 b (*.f64 b r)) (*.f64 b (*.f64 b r))) #s(literal 1/9 binary64))) (-.f64 r (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))
(*.f64 b (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))))
(*.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 (*.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 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 b))
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64)))) (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 (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 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r))
(*.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 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (fma.f64 r r #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (fma.f64 b (+.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (/.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 b b) a)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) b)) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (fma.f64 b (fma.f64 (*.f64 b b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (-.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 a b)) (*.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64)))))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 a (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 r (sin.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.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) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (/.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 b b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) b) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 a (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) (-.f64 (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (*.f64 r (/.f64 (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b))) (cos.f64 (*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.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)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (*.f64 (cos.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)))
(*.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))))
(*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) #s(literal 0 binary64))) (cos.f64 b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 b b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))
Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
Calls

4 calls:

34.0ms
b
34.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
33.0ms
r
33.0ms
a
Results
AccuracySegmentsBranch
79.5%1r
79.5%1a
79.5%1b
79.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes46.0ms (0.3%)

Memory
5.7MiB live, 50.0MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) b (*.f64 b r))
(/.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 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #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))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 b (*.f64 b r)) (*.f64 b (*.f64 b r))) #s(literal 1/9 binary64))) (-.f64 r (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))
(*.f64 b (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))))
(*.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 (*.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 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 b))
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64)))) (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 (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:

12.0ms
a
11.0ms
b
11.0ms
r
10.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
79.5%1b
79.5%1a
79.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
79.5%1r
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes44.0ms (0.3%)

Memory
-22.3MiB live, 55.5MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) b (*.f64 b r))
(/.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 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #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))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 b (*.f64 b r)) (*.f64 b (*.f64 b r))) #s(literal 1/9 binary64))) (-.f64 r (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))
(*.f64 b (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))))
(*.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 (*.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 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 b))
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64)))) (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 (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:

11.0ms
a
10.0ms
b
10.0ms
r
10.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
79.3%3b
60.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
78.7%3a
60.8%1r
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) b (*.f64 b r))
(/.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 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #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))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 b (*.f64 b r)) (*.f64 b (*.f64 b r))) #s(literal 1/9 binary64))) (-.f64 r (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))
(*.f64 b (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))))
(*.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:

5.0ms
b
Results
AccuracySegmentsBranch
79.3%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory
23.5MiB live, 23.5MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) b (*.f64 b r))
(/.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 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #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))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 b (*.f64 b r)) (*.f64 b (*.f64 b r))) #s(literal 1/9 binary64))) (-.f64 r (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))
(*.f64 b (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
Outputs
(*.f64 (tan.f64 b) r)
Calls

3 calls:

5.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
60.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
60.8%1a
60.8%1b
Compiler

Compiled 20 to 14 computations (30% saved)

regimes24.0ms (0.2%)

Memory
-14.5MiB live, 23.4MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) b (*.f64 b r))
(/.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 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #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))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 b (*.f64 b r)) (*.f64 b (*.f64 b r))) #s(literal 1/9 binary64))) (-.f64 r (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))
(*.f64 b (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))))
(*.f64 (sin.f64 b) r)
Outputs
(*.f64 (sin.f64 b) r)
Calls

4 calls:

8.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms
b
5.0ms
r
5.0ms
a
Results
AccuracySegmentsBranch
32.5%1r
32.5%1a
32.5%1b
32.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes19.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Accuracy

Total -15.7b remaining (-34.3%)

Threshold costs -15.7b (-34.3%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 r #s(literal 1/3 binary64)) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) b (*.f64 b r))
(/.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 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #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))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 r b) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 b (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 b (*.f64 b r)) (*.f64 b (*.f64 b r))) #s(literal 1/9 binary64))) (-.f64 r (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))
(*.f64 b (*.f64 (*.f64 (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r))))
Outputs
(*.f64 r b)
Calls

4 calls:

5.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms
r
5.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
28.7%1r
28.7%1a
28.7%1b
28.7%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch60.0ms (0.4%)

Memory
-1.7MiB live, 40.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
5.461973596036709e-14
1.381687852150385e-10
40.0ms
-2.841167832694239
-7.254794318152531e-17
Samples
29.0ms145×0valid
18.0ms143×1valid
Compiler

Compiled 339 to 248 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sin: 23.0ms (60% of total)
ival-cos: 7.0ms (18.3% of total)
ival-add: 2.0ms (5.2% of total)
ival-div: 2.0ms (5.2% of total)
adjust: 2.0ms (5.2% of total)
ival-mult: 2.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Memory
-27.7MiB live, 46.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
5.461973596036709e-14
1.381687852150385e-10
22.0ms
-2.841167832694239
-7.254794318152531e-17
Samples
17.0ms136×1valid
11.0ms152×0valid
Compiler

Compiled 339 to 248 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 7.0ms (39.2% of total)
ival-sin: 3.0ms (16.8% of total)
ival-add: 2.0ms (11.2% of total)
ival-div: 2.0ms (11.2% of total)
adjust: 2.0ms (11.2% of total)
ival-mult: 2.0ms (11.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
10×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045115
169115
279115
383115
486115
587115
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r (-.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 -7791904696734915/590295810358705651712 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 2611279770367599/19342813113834066795298816 binary64)) (*.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -7378697629483821/295147905179352825856 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 2611279770367599/19342813113834066795298816 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r)))
(*.f64 (tan.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)
Outputs
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r (-.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 -7791904696734915/590295810358705651712 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 2611279770367599/19342813113834066795298816 binary64)) (*.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -7791904696734915/590295810358705651712 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 2611279770367599/19342813113834066795298816 binary64)) (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -7378697629483821/295147905179352825856 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 2611279770367599/19342813113834066795298816 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -7378697629483821/295147905179352825856 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 2611279770367599/19342813113834066795298816 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b))))
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(*.f64 b r)

soundness1.1s (8.5%)

Memory
25.4MiB live, 817.1MiB allocated
Rules
10 934×accelerator-lowering-fma.f32
10 934×accelerator-lowering-fma.f64
9 822×accelerator-lowering-fma.f32
9 822×accelerator-lowering-fma.f64
8 974×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167960
1517928
21595886
35409885
08292853
0819
13919
222919
3204719
0843419
056297
1358230
23563228
08163213
038176
1227139
21899137
08493134
07886838
125386401
085616068
046231
1270191
22531188
08617177
06285635
119825287
267345194
086605022
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 389 to 223 computations (42.7% saved)

preprocess99.0ms (0.7%)

Memory
-10.5MiB live, 105.5MiB allocated
Remove

(negabs r)

Compiler

Compiled 516 to 258 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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