Details

Time bar (total: 9.4s)

analyze1.7s (17.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
6.2%93.6%0.1%7
9.4%90.5%0.1%8
14%85.8%0.1%9
16.4%83.5%0.1%10
19.1%80.7%0.1%11
20.5%79.4%0.1%12
21.2%78.7%0.1%13
22.7%77.2%0.1%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample4.0s (42.6%)

Results
2.5s3647×body1024valid
591.0ms1405×body512valid
387.0ms2367×body128valid
288.0ms204×body2048valid
201.0ms633×body256valid
1.0msbody1024invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess17.0ms (0.2%)

Algorithm
egg-herbie
Rules
12×*-commutative_binary64
associate-/l*_binary64
associate-*r/_binary64
associate-*l/_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02356
13956
25556
36956
47356
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 a (/.f64 (sin.f64 b) (cos.f64 (+.f64 r b))))
(*.f64 b (/.f64 (sin.f64 r) (cos.f64 (+.f64 a r))))
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 a (/.f64 (sin.f64 b) (cos.f64 (+.f64 r b))))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(*.f64 (sin.f64 b) (/.f64 a (cos.f64 (+.f64 r b))))
(*.f64 b (/.f64 (sin.f64 r) (cos.f64 (+.f64 a r))))
(*.f64 b (/.f64 (sin.f64 r) (cos.f64 (+.f64 r a))))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 r a)))
(*.f64 (/.f64 b (cos.f64 (+.f64 r a))) (sin.f64 r))
(*.f64 (sin.f64 r) (/.f64 b (cos.f64 (+.f64 r a))))
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
+-commutative_binary64
associate-*r/_binary64
associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11314
21714
32114
42214
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
16.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
16.2b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
16.2b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 69 to 44 computations (36.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
0.3b
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.8b
(cos.f64 (+.f64 a b))

series21.0ms (0.2%)

Counts
3 → 52
Calls

21 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
2.0ms
b
@0
(cos.f64 (+.f64 a b))
2.0ms
r
@0
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
1.0ms
a
@0
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
1.0ms
a
@0
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

rewrite59.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
588×prod-diff_binary64
214×fma-def_binary64
196×expm1-udef_binary64
196×log1p-udef_binary64
119×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
120031
2287431
Stop Event
node limit
Counts
3 → 123
Calls
Call 1
Inputs
(cos.f64 (+.f64 a b))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) 1) (cos.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 2)) (cbrt.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) (sqrt.f64 (cos.f64 (+.f64 a b)))) (sqrt.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) 1))))))

simplify36.0ms (0.4%)

Algorithm
egg-herbie
Rules
692×fma-def_binary64
619×associate-*l*_binary64
441×associate-/r*_binary64
196×associate-/r/_binary64
178×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01551422
14691420
217081358
Stop Event
node limit
Counts
175 → 168
Calls
Call 1
Inputs
(cos.f64 b)
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(-.f64 (cos.f64 b) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(cos.f64 a)
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))
(-.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (cos.f64 a)) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a)))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a)))))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3)))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 4)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 3))) (pow.f64 (cos.f64 a) 3)))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Outputs
(cos.f64 b)
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(fma.f64 (sin.f64 b) (neg.f64 a) (cos.f64 b))
(-.f64 (cos.f64 b) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(-.f64 (cos.f64 b) (fma.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (*.f64 (sin.f64 b) a)))
(-.f64 (cos.f64 b) (fma.f64 (cos.f64 b) (*.f64 a (*.f64 a 1/2)) (*.f64 (sin.f64 b) a)))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (*.f64 (sin.f64 b) a)))
(-.f64 (fma.f64 (sin.f64 b) (*.f64 (pow.f64 a 3) 1/6) (cos.f64 b)) (fma.f64 (cos.f64 b) (*.f64 a (*.f64 a 1/2)) (*.f64 (sin.f64 b) a)))
(cos.f64 a)
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(-.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(-.f64 (cos.f64 a) (fma.f64 (sin.f64 a) b (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)))))
(-.f64 (cos.f64 a) (fma.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)) (*.f64 b (sin.f64 a))))
(-.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 a) (*.f64 1/2 (*.f64 (cos.f64 a) b)))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (cos.f64 a)) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (fma.f64 (sin.f64 a) b (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (fma.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)) (*.f64 b (sin.f64 a))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (*.f64 b (+.f64 (sin.f64 a) (*.f64 1/2 (*.f64 (cos.f64 a) b)))))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 b b) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a)))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a)))))
(+.f64 (/.f64 (*.f64 b b) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (pow.f64 b 3)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a)))))
(+.f64 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3)) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a)))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)) (fma.f64 2/3 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 4))) (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a)))) (/.f64 (pow.f64 (sin.f64 a) 3) (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 b 4))))))
(+.f64 (/.f64 (*.f64 b b) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (pow.f64 b 3)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a)))) (fma.f64 2/3 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (pow.f64 b 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (pow.f64 b 4)))))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (fma.f64 2/3 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (pow.f64 b 4)) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (pow.f64 b 4) (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3))) (/.f64 b (cos.f64 a)))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3)))))
(+.f64 (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a))) (fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))) (/.f64 (*.f64 (*.f64 a a) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))))
(+.f64 (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a a)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a a)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a)))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 4)))))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a)) (+.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))) (fma.f64 5/6 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 a 3))) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 4) (pow.f64 a 3))))))))
(+.f64 (+.f64 (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a a)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a)))) (fma.f64 5/6 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (pow.f64 a 3))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a) (fma.f64 5/6 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (pow.f64 a 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (pow.f64 a 3) (*.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a a))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (*.f64 b b) r))))
(+.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (*.f64 b b) r)))
(fma.f64 (/.f64 b (cos.f64 a)) r (*.f64 (*.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) b)) b) r))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 3))) (pow.f64 (cos.f64 a) 3)))))
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (*.f64 b b) r))) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)))))
(+.f64 (+.f64 (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (*.f64 (/.f64 b (cos.f64 a)) r)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (*.f64 b b) r))) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (*.f64 (pow.f64 b 3) r)))
(+.f64 (fma.f64 (/.f64 b (cos.f64 a)) r (*.f64 (*.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) b)) b) r)) (*.f64 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3)))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a))))))))
(+.f64 (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (*.f64 b b) r)))) (fma.f64 2/3 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 b 4) r))) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (/.f64 (pow.f64 (cos.f64 a) 4) (*.f64 (pow.f64 b 4) r))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a))) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3))))))
(+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (*.f64 b b) r)) (+.f64 (+.f64 (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (*.f64 (pow.f64 b 3) r))) (fma.f64 2/3 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (pow.f64 b 4) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 (pow.f64 b 4) r)))) (*.f64 (/.f64 b (cos.f64 a)) r)))
(fma.f64 (/.f64 b (cos.f64 a)) r (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (*.f64 b b) r) (fma.f64 2/3 (*.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (pow.f64 b 4)) r) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 (pow.f64 b 4) r) (*.f64 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) a))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))))
(fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 (*.f64 a a) r))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (*.f64 a a) r)) (pow.f64 (cos.f64 b) 3)))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 (*.f64 a a) r))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 (*.f64 a a) r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r)))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (*.f64 a r))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 a r))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)))))))
(fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 (*.f64 a a) r))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (fma.f64 5/6 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (pow.f64 a 3) r))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (*.f64 a a) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 4) (*.f64 (pow.f64 a 3) r))))))))
(+.f64 (+.f64 (+.f64 (fma.f64 5/6 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 a 3) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 (*.f64 a a) r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (*.f64 (pow.f64 a 3) r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r))) (fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 (*.f64 a a) r))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (*.f64 a r))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (fma.f64 5/6 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 a 3) r)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 a r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (*.f64 (pow.f64 a 3) r)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)

prune227.0ms (2.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New15315168
Fresh011
Picked101
Done000
Total15416170
Error
0.1b
Counts
170 → 16
Alt Table
StatusErrorProgram
40.7b
(*.f64 r (*.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))))
16.2b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
16.2b
(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 a b)))))
16.3b
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 a b)))) 1)))
16.3b
(*.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))))
32.7b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b)))))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (*.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b))) (*.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b))))))))
16.5b
(/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
0.9b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
0.3b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))))
27.5b
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
41.0b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) 3))
24.3b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))))))
Compiler

Compiled 5223 to 1814 computations (65.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))))))
0.2b
(*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))
0.2b
(/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))))
52.1b
(fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))

series32.0ms (0.3%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
5.0ms
a
@0
(fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))
3.0ms
b
@0
(fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))
3.0ms
r
@0
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))))))
2.0ms
b
@0
(/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))))
2.0ms
a
@inf
(/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))))

rewrite70.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
288×log1p-udef_binary64
181×add-sqr-sqrt_binary64
178×*-un-lft-identity_binary64
178×pow1_binary64
165×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018115
137590
2479490
Stop Event
node limit
Counts
4 → 107
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))
(/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))))
(*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))))))
Outputs
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simplify53.0ms (0.6%)

Algorithm
egg-herbie
Rules
736×fma-def_binary64
673×associate-*l*_binary64
437×associate-/r*_binary64
196×associate-/r/_binary64
178×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01752338
15322328
218772244
Stop Event
node limit
Counts
215 → 161
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
0
0
0
0
0
0
0
0
0
0
0
0
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a)))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a)))))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3)))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 4)))))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 a) b)
(-.f64 (*.f64 (sin.f64 a) b) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)))))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) a)
(-.f64 (*.f64 (sin.f64 b) a) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 3))) (pow.f64 (cos.f64 a) 3)))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a))))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
Outputs
0
0
0
0
0
0
0
0
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
0
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
0
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
0
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
0
0
0
0
0
0
0
0
0
0
0
0
0
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b)))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a)))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a)))))
(+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 b 3))) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a)))))
(+.f64 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3)) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a)))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)) (fma.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 2)) (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a)))) (/.f64 (pow.f64 (sin.f64 a) 3) (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 b 4))))))
(+.f64 (fma.f64 2/3 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (pow.f64 b 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (pow.f64 b 4))) (+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 b 3))) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a))))))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (cos.f64 a) 2)) (sin.f64 a)) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (pow.f64 b 4) (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3))) (/.f64 b (cos.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3)))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a)) (fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))) (/.f64 (*.f64 (*.f64 a a) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a) (fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (cos.f64 b) (sin.f64 b))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a) (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 4)))))))
(+.f64 (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a))) (+.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))) (fma.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 2)) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 4) (pow.f64 a 3)))))))
(+.f64 (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a)) (+.f64 (fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a))) (fma.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (pow.f64 a 3)))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (/.f64 (sin.f64 b) (cos.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (cos.f64 b) (sin.f64 b))) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (pow.f64 a 3) (*.f64 (/.f64 5/6 (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3)))))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 a) b)
(*.f64 b (sin.f64 a))
(-.f64 (*.f64 (sin.f64 a) b) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(+.f64 (*.f64 b (sin.f64 a)) (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(fma.f64 b (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) -1/6))
(*.f64 (sin.f64 a) (-.f64 b (*.f64 1/6 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 b (sin.f64 a))) (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (fma.f64 b (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) -1/6)))
(fma.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) -1/6 (*.f64 (sin.f64 a) (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)))))
(-.f64 (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 b (sin.f64 a))) (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)))))
(-.f64 (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 b (sin.f64 a))) (fma.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)) (*.f64 (pow.f64 b 3) (*.f64 (sin.f64 a) 1/6))))
(-.f64 (*.f64 (sin.f64 a) (+.f64 b (*.f64 1/120 (pow.f64 b 5)))) (*.f64 (sin.f64 a) (+.f64 (*.f64 (pow.f64 b 7) 1/5040) (*.f64 (pow.f64 b 3) 1/6))))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) a)
(-.f64 (*.f64 (sin.f64 b) a) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))
(+.f64 (*.f64 (sin.f64 b) a) (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))
(fma.f64 (sin.f64 b) a (*.f64 (*.f64 -1/6 (sin.f64 b)) (pow.f64 a 3)))
(*.f64 (sin.f64 b) (-.f64 a (*.f64 1/6 (pow.f64 a 3))))
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(+.f64 (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (*.f64 a r))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (fma.f64 5/6 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 a 3) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 a r))))) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r)) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 4) r) (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (*.f64 a r))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (fma.f64 5/6 (*.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) r) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (*.f64 (pow.f64 a 3) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 a r))))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)

prune479.0ms (5.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1964200
Fresh41115
Picked011
Done000
Total20016216
Error
0.1b
Counts
216 → 16
Alt Table
StatusErrorProgram
16.2b
(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 a b)))))
16.3b
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 a b)))) 1)))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))))
16.5b
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 2) (pow.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0) 2))) (-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a))))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))))))
24.3b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
16.5b
(/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
0.9b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
0.3b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))))
16.2b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
0.4b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
16.3b
(*.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))))
41.0b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) 3))
Compiler

Compiled 7932 to 3218 computations (59.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 b) r)
0.1b
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
0.2b
(*.f64 (sin.f64 b) (sin.f64 a))
0.2b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))

series11.0ms (0.1%)

Counts
4 → 52
Calls

27 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
1.0ms
r
@inf
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
1.0ms
b
@inf
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
1.0ms
r
@0
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
1.0ms
b
@0
(*.f64 (sin.f64 b) r)

rewrite77.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
277×expm1-udef_binary64
277×log1p-udef_binary64
160×add-sqr-sqrt_binary64
158×*-un-lft-identity_binary64
158×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01358
129734
2442934
Stop Event
node limit
Counts
4 → 130
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 b) (sin.f64 a))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) r)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2) (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 r (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (sin.f64 b) r) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 2) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) 1))))))

simplify38.0ms (0.4%)

Algorithm
egg-herbie
Rules
833×times-frac_binary64
673×fma-def_binary64
666×associate-/l*_binary64
311×cancel-sign-sub-inv_binary64
154×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01521361
14951343
217421265
Stop Event
node limit
Counts
182 → 189
Calls
Call 1
Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 3))) (pow.f64 (cos.f64 a) 3)))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a))))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)))))))
(*.f64 (sin.f64 a) b)
(-.f64 (*.f64 (sin.f64 a) b) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)))))
(*.f64 (sin.f64 b) a)
(-.f64 (*.f64 (sin.f64 b) a) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(cos.f64 b)
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(-.f64 (cos.f64 b) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(cos.f64 a)
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))
(-.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (cos.f64 a)) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 r b)
(-.f64 (*.f64 b r) (*.f64 1/6 (*.f64 (pow.f64 b 3) r)))
(-.f64 (+.f64 (*.f64 b r) (*.f64 1/120 (*.f64 (pow.f64 b 5) r))) (*.f64 1/6 (*.f64 (pow.f64 b 3) r)))
(-.f64 (+.f64 (*.f64 b r) (*.f64 1/120 (*.f64 (pow.f64 b 5) r))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 1/5040 (*.f64 (pow.f64 b 7) r))))
Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (*.f64 b b)))))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r))))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r)) (*.f64 (/.f64 r (cos.f64 a)) b))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 3))) (pow.f64 (cos.f64 a) 3)))))
(fma.f64 1/3 (/.f64 (pow.f64 b 3) (/.f64 (cos.f64 a) r)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (*.f64 b b)))) (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) (*.f64 r (pow.f64 b 3)))))))
(+.f64 (+.f64 (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (/.f64 b (/.f64 (cos.f64 a) r))) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r)))) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (*.f64 r (pow.f64 b 3))))
(+.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r)) (*.f64 (/.f64 r (cos.f64 a)) b)) (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3)))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a))))))))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (*.f64 b b)))) (fma.f64 2/3 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (pow.f64 b 4)))) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (/.f64 (pow.f64 (cos.f64 a) 4) (*.f64 r (pow.f64 b 4)))) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) (*.f64 r (pow.f64 b 3)))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (/.f64 (cos.f64 a) r))))))))
(+.f64 (+.f64 (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r)))) (fma.f64 2/3 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (pow.f64 b 4)))) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 r (pow.f64 b 4))))) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (*.f64 r (pow.f64 b 3)))))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r)) (fma.f64 (/.f64 b (cos.f64 a)) r (fma.f64 2/3 (*.f64 (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 4))) (sin.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 r (pow.f64 b 4)) (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r a) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))))
(fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 r (*.f64 a a)))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 r (*.f64 a a)))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 r (*.f64 a a)))) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (*.f64 a a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 a a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 r (*.f64 a a)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)))))))
(fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 r (*.f64 a a)))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (fma.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r (pow.f64 a 3))) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 r (*.f64 a a)))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 4) (*.f64 r (pow.f64 a 3)))))))))
(+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (*.f64 r (pow.f64 a 3)))) (fma.f64 5/6 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r (pow.f64 a 3))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 r (*.f64 a a))))) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (*.f64 a a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 a a)) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (fma.f64 5/6 (*.f64 (/.f64 (*.f64 r (pow.f64 a 3)) (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 r (*.f64 a a)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (*.f64 r (pow.f64 a 3))))))))
(*.f64 (sin.f64 a) b)
(*.f64 b (sin.f64 a))
(-.f64 (*.f64 (sin.f64 a) b) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(+.f64 (*.f64 b (sin.f64 a)) (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(fma.f64 b (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) -1/6))
(*.f64 (sin.f64 a) (-.f64 b (*.f64 (pow.f64 b 3) 1/6)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 b (sin.f64 a))) (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))))
(fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (fma.f64 b (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) -1/6)))
(fma.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) -1/6 (*.f64 (sin.f64 a) (fma.f64 1/120 (pow.f64 b 5) b)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)))))
(-.f64 (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 b (sin.f64 a))) (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)))))
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (fma.f64 b (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) -1/6))) (*.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))))
(-.f64 (*.f64 (sin.f64 a) (fma.f64 1/120 (pow.f64 b 5) b)) (*.f64 (sin.f64 a) (fma.f64 (pow.f64 b 3) 1/6 (*.f64 1/5040 (pow.f64 b 7)))))
(*.f64 (sin.f64 b) a)
(*.f64 a (sin.f64 b))
(-.f64 (*.f64 (sin.f64 b) a) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))
(+.f64 (*.f64 a (sin.f64 b)) (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))
(fma.f64 a (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) -1/6))
(*.f64 (sin.f64 b) (+.f64 (*.f64 -1/6 (pow.f64 a 3)) a))
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))
(-.f64 (fma.f64 (sin.f64 b) a (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (*.f64 (*.f64 1/6 (sin.f64 b)) (pow.f64 a 3)))
(fma.f64 a (sin.f64 b) (fma.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) -1/6)))
(fma.f64 (sin.f64 b) (*.f64 (pow.f64 a 5) 1/120) (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/6 (pow.f64 a 3)) a)))
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)))))
(-.f64 (fma.f64 (sin.f64 b) a (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)))))
(+.f64 (fma.f64 a (sin.f64 b) (fma.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) -1/6))) (*.f64 -1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))
(+.f64 (*.f64 (sin.f64 b) (+.f64 a (*.f64 1/120 (pow.f64 a 5)))) (*.f64 (sin.f64 b) (-.f64 (*.f64 -1/6 (pow.f64 a 3)) (*.f64 1/5040 (pow.f64 a 7)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(cos.f64 b)
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(fma.f64 a (neg.f64 (sin.f64 b)) (cos.f64 b))
(-.f64 (cos.f64 b) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(-.f64 (cos.f64 b) (fma.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (*.f64 a (sin.f64 b))))
(-.f64 (cos.f64 b) (fma.f64 a (sin.f64 b) (*.f64 (*.f64 1/2 (cos.f64 b)) (*.f64 a a))))
(-.f64 (cos.f64 b) (fma.f64 a (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 1/2 (*.f64 a a)))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (*.f64 a (sin.f64 b))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 a (sin.f64 b) (*.f64 (*.f64 1/2 (cos.f64 b)) (*.f64 a a))))
(-.f64 (fma.f64 (sin.f64 b) (*.f64 (pow.f64 a 3) 1/6) (cos.f64 b)) (fma.f64 a (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 1/2 (*.f64 a a)))))
(cos.f64 a)
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(-.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(-.f64 (cos.f64 a) (fma.f64 (sin.f64 a) b (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)))))
(-.f64 (cos.f64 a) (fma.f64 b (sin.f64 a) (*.f64 (cos.f64 a) (*.f64 (*.f64 b b) 1/2))))
(-.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 a) (*.f64 (*.f64 (cos.f64 a) 1/2) b))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (cos.f64 a)) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (fma.f64 (sin.f64 a) b (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (fma.f64 b (sin.f64 a) (*.f64 (cos.f64 a) (*.f64 (*.f64 b b) 1/2))))
(-.f64 (fma.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) 1/6) (cos.f64 a)) (*.f64 b (+.f64 (sin.f64 a) (*.f64 (*.f64 (cos.f64 a) 1/2) b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(*.f64 r b)
(*.f64 b r)
(-.f64 (*.f64 b r) (*.f64 1/6 (*.f64 (pow.f64 b 3) r)))
(+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))
(*.f64 r (-.f64 b (*.f64 (pow.f64 b 3) 1/6)))
(-.f64 (+.f64 (*.f64 b r) (*.f64 1/120 (*.f64 (pow.f64 b 5) r))) (*.f64 1/6 (*.f64 (pow.f64 b 3) r)))
(+.f64 (fma.f64 b r (*.f64 1/120 (*.f64 r (pow.f64 b 5)))) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))
(fma.f64 b r (*.f64 r (-.f64 (*.f64 1/120 (pow.f64 b 5)) (*.f64 (pow.f64 b 3) 1/6))))
(*.f64 r (-.f64 (fma.f64 1/120 (pow.f64 b 5) b) (*.f64 (pow.f64 b 3) 1/6)))
(-.f64 (+.f64 (*.f64 b r) (*.f64 1/120 (*.f64 (pow.f64 b 5) r))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 1/5040 (*.f64 (pow.f64 b 7) r))))
(-.f64 (fma.f64 b r (*.f64 1/120 (*.f64 r (pow.f64 b 5)))) (fma.f64 1/6 (*.f64 r (pow.f64 b 3)) (*.f64 1/5040 (*.f64 r (pow.f64 b 7)))))
(-.f64 (*.f64 r (+.f64 b (*.f64 1/120 (pow.f64 b 5)))) (*.f64 r (+.f64 (*.f64 (pow.f64 b 3) 1/6) (*.f64 1/5040 (pow.f64 b 7)))))
(*.f64 r (-.f64 (fma.f64 1/120 (pow.f64 b 5) b) (fma.f64 (pow.f64 b 3) 1/6 (*.f64 1/5040 (pow.f64 b 7)))))

prune334.0ms (3.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1836189
Fresh7714
Picked011
Done011
Total19015205
Error
0.0b
Counts
205 → 15
Alt Table
StatusErrorProgram
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))))
16.5b
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 2) (pow.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0) 2))) (-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0))))
0.4b
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
16.2b
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
0.9b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
0.3b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))))
0.5b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))
0.4b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
43.2b
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
16.3b
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 a b)))) 1)))
1.3b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
16.2b
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))
24.3b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
Compiler

Compiled 5015 to 1637 computations (67.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
0.2b
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
0.2b
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
0.2b
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b))

series17.0ms (0.2%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
1.0ms
b
@-inf
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b))
1.0ms
b
@inf
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b))
1.0ms
a
@inf
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b))
1.0ms
a
@-inf
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b))

rewrite118.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
326×prod-diff_binary64
235×expm1-udef_binary64
235×log1p-udef_binary64
204×egg-rr
142×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01377
127269
2375669
Stop Event
node limit
Counts
4 → 306
Calls
Call 1
Inputs
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
Outputs
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simplify69.0ms (0.7%)

Algorithm
egg-herbie
Rules
856×times-frac_binary64
743×fma-def_binary64
702×associate-/l*_binary64
237×cancel-sign-sub-inv_binary64
167×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01722534
15422530
217832373
Stop Event
node limit
Counts
414 → 374
Calls
Call 1
Inputs
(/.f64 (cos.f64 b) (sin.f64 b))
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b))) a))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 a 3)) (/.f64 (cos.f64 b) (sin.f64 b))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b))) a))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (cos.f64 a) b)
(-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))
(-.f64 (/.f64 (cos.f64 a) b) (+.f64 (sin.f64 a) (*.f64 1/3 (*.f64 (cos.f64 a) b))))
(-.f64 (/.f64 (cos.f64 a) b) (+.f64 (sin.f64 a) (+.f64 (*.f64 1/3 (*.f64 (cos.f64 a) b)) (*.f64 1/45 (*.f64 (cos.f64 a) (pow.f64 b 3))))))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b))
(*.f64 -1 (*.f64 (sin.f64 b) a))
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)))) (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)))
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 3))) (pow.f64 (cos.f64 a) 3)))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a))))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(cos.f64 b)
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(-.f64 (cos.f64 b) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 a)
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))
(-.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (cos.f64 a)) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
Outputs
(/.f64 (cos.f64 b) (sin.f64 b))
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b))) a))
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (sin.f64 b) (cos.f64 b))) a))
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 a a) (sin.f64 b)) (cos.f64 b)) a))
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (fma.f64 1/2 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 a a)) a))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 a 3)) (/.f64 (cos.f64 b) (sin.f64 b))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b))) a))
(-.f64 (fma.f64 1/6 (pow.f64 a 3) (/.f64 (cos.f64 b) (sin.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (sin.f64 b) (cos.f64 b))) a))
(-.f64 (fma.f64 1/6 (pow.f64 a 3) (/.f64 (cos.f64 b) (sin.f64 b))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 a a) (sin.f64 b)) (cos.f64 b)) a))
(-.f64 (fma.f64 1/6 (pow.f64 a 3) (/.f64 (cos.f64 b) (sin.f64 b))) (fma.f64 1/2 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 a a)) a))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(-.f64 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (*.f64 1 (sin.f64 a)))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(-.f64 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (*.f64 1 (sin.f64 a)))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(-.f64 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (*.f64 1 (sin.f64 a)))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(-.f64 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (*.f64 1 (sin.f64 a)))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(-.f64 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (*.f64 1 (sin.f64 a)))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(-.f64 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (*.f64 1 (sin.f64 a)))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(-.f64 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (*.f64 1 (sin.f64 a)))
(/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))
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(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (*.f64 (sin.f64 b) a)))
(-.f64 (fma.f64 (pow.f64 a 3) (*.f64 (sin.f64 b) 1/6) (cos.f64 b)) (fma.f64 (cos.f64 b) (*.f64 1/2 (*.f64 a a)) (*.f64 (sin.f64 b) a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 a)
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))
(-.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(-.f64 (cos.f64 a) (fma.f64 (sin.f64 a) b (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)))))
(-.f64 (cos.f64 a) (fma.f64 b (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 1/2 (cos.f64 a)))))
(-.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 a) (*.f64 (*.f64 1/2 (cos.f64 a)) b))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (cos.f64 a)) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (fma.f64 (sin.f64 a) b (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)))))
(-.f64 (fma.f64 (*.f64 1/6 (sin.f64 a)) (pow.f64 b 3) (cos.f64 a)) (fma.f64 b (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 1/2 (cos.f64 a)))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (*.f64 b (+.f64 (sin.f64 a) (*.f64 (*.f64 1/2 (cos.f64 a)) b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))

prune577.0ms (6.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New3722374
Fresh3912
Picked011
Done022
Total37514389
Error
0.0b
Counts
389 → 14
Alt Table
StatusErrorProgram
43.2b
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
32.8b
(/.f64 r (/.f64 (+.f64 (fma.f64 (cbrt.f64 (pow.f64 (cos.f64 a) 2)) (*.f64 (cbrt.f64 (cos.f64 a)) (cos.f64 b)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (sin.f64 b)))
1.0b
(/.f64 r (/.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (sin.f64 b)))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))))
16.5b
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 2) (pow.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0) 2))) (-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0))))
0.4b
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
16.2b
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
0.9b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
0.3b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))))
0.4b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
16.3b
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 a b)))) 1)))
1.3b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
16.2b
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))
Compiler

Compiled 12700 to 3089 computations (75.7% saved)

regimes1.1s (12%)

Accuracy

Total 0.3b remaining (82.5%)

Threshold costs 0.3b (82.5%)

Counts
263 → 1
Compiler

Compiled 6121 to 1822 computations (70.2% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
distribute-rgt-neg-in_binary64
distribute-lft-neg-in_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01946
13446
24746
35046
45146
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (sin.f64 a) 1) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) 1))))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))))

end312.0ms (3.3%)

Stop Event
fuel
Compiler

Compiled 525 to 271 computations (48.4% saved)

Profiling

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