Details

Time bar (total: 18.4s)

analyze516.0ms (2.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
6.3%6.2%93.6%0.1%0%0%0%7
9.4%9.4%90.5%0.1%0%0%0%8
14.1%14%85.8%0.1%0%0%0%9
16.4%16.4%83.5%0.1%0%0%0%10
19.1%19.1%80.7%0.1%0%0%0%11
20.5%20.5%79.4%0.1%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.1s (16.9%)

Results
1.8s3569×body1024valid
566.0ms3095×body256valid
509.0ms1377×body512valid
210.0ms215×body2048valid
0.0msbody1024infinite
0.0msbody256infinite
Bogosity

preprocess35.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02356
13956
25356
36556
46956
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 a (/.f64 (cos.f64 (+.f64 r b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 r b)) a))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 b (/.f64 (cos.f64 (+.f64 r a)) (sin.f64 r)))
(/.f64 (sin.f64 r) (/.f64 (cos.f64 (+.f64 r a)) b))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11314
21714
32014
42114
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

eval1.0ms (0%)

Compiler

Compiled 21 to 11 computations (47.6% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
14.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 b)
0.1b
(*.f64 r (sin.f64 b))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
3.6b
(cos.f64 (+.f64 b a))
Compiler

Compiled 28 to 8 computations (71.4% saved)

series30.0ms (0.2%)

Counts
4 → 88
Calls

24 calls:

TimeVariablePointExpression
4.0ms
b
@inf
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
3.0ms
r
@0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
3.0ms
b
@0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
2.0ms
a
@0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
2.0ms
a
@inf
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

rewrite131.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
592×prod-diff_binary64
556×log-prod_binary64
344×pow-prod-down_binary64
288×pow2_binary64
211×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
120029
2293829
Stop Event
node limit
Counts
4 → 156
Calls
Call 1
Inputs
(cos.f64 (+.f64 b a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
Outputs
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simplify79.0ms (0.4%)

Algorithm
egg-herbie
Rules
851×fma-def_binary64
750×associate-*l*_binary64
372×times-frac_binary64
327×associate-/l*_binary64
256×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01501431
14801373
215911324
378961315
Stop Event
node limit
Counts
244 → 209
Calls
Call 1
Inputs
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 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 (+.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 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.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 (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (+.f64 (*.f64 r b) (*.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 b 7) r)) (+.f64 (*.f64 r b) (*.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
b
(+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)
(+.f64 (*.f64 -1/6 (pow.f64 b 3)) (+.f64 (*.f64 1/120 (pow.f64 b 5)) b))
(+.f64 (*.f64 -1/6 (pow.f64 b 3)) (+.f64 (*.f64 1/120 (pow.f64 b 5)) (+.f64 b (*.f64 -1/5040 (pow.f64 b 7)))))
Outputs
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) b)))
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (fma.f64 -1 (*.f64 (sin.f64 a) b) (*.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b)))))
(+.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (*.f64 (*.f64 b b) -1/2)))
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (fma.f64 -1 (*.f64 (sin.f64 a) b) (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b))))))
(+.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) (fma.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b)) (*.f64 (*.f64 1/6 (pow.f64 b 3)) (sin.f64 a))))
(+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a)))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (+.f64 a b))
(cos.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(fma.f64 -1 (*.f64 a (sin.f64 b)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(fma.f64 -1 (*.f64 a (sin.f64 b)) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b)))
(-.f64 (fma.f64 -1/2 (*.f64 a (*.f64 a (cos.f64 b))) (cos.f64 b)) (*.f64 a (sin.f64 b)))
(fma.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b) (*.f64 a (neg.f64 (sin.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(fma.f64 -1 (*.f64 a (sin.f64 b)) (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 a (*.f64 a (cos.f64 b))) (cos.f64 b))) (*.f64 a (sin.f64 b)))
(fma.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b) (*.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3)))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r))))
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (/.f64 (*.f64 b (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (sin.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) r)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))))))
(+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r))) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (*.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (/.f64 (*.f64 b (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (sin.f64 a))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) r)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))))) (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) -1/3)) (pow.f64 b 4))))))
(+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r))) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (*.f64 (/.f64 r (cos.f64 a)) b)) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) -1/3) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (pow.f64 b 4))))
(-.f64 (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (/.f64 (*.f64 b (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (sin.f64 a)))) (*.f64 (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 r -1/3)) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (pow.f64 b 4)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.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 (*.f64 a r) (/.f64 (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 a r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (/.f64 (*.f64 -1/2 (*.f64 (sin.f64 b) r)) (cos.f64 b)))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (-.f64 (/.f64 (*.f64 a r) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (*.f64 a (*.f64 a (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (*.f64 (*.f64 a a) (fma.f64 -1/2 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) r))))
(fma.f64 (*.f64 a a) (neg.f64 (-.f64 (/.f64 (*.f64 -1/2 (sin.f64 b)) (/.f64 (cos.f64 b) r)) (/.f64 r (pow.f64 (/.f64 (cos.f64 b) (sin.f64 b)) 3)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (/.f64 (*.f64 -1/2 (*.f64 (sin.f64 b) r)) (cos.f64 b))))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3))) (fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (/.f64 (*.f64 -1/2 (*.f64 (sin.f64 b) r)) (cos.f64 b)))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))
(+.f64 (/.f64 (*.f64 a r) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (-.f64 (-.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (*.f64 a (*.f64 a (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)))))) (*.f64 (pow.f64 a 3) (fma.f64 (/.f64 r (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) -1/3 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r))))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (-.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (*.f64 a a) (+.f64 (*.f64 a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) r)) (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) -1/3)) (pow.f64 (cos.f64 b) 2)))) (fma.f64 -1/2 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) r))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (-.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (*.f64 a a) (+.f64 (*.f64 a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (/.f64 (*.f64 -1/2 (sin.f64 b)) (/.f64 (cos.f64 b) r)) (/.f64 r (pow.f64 (/.f64 (cos.f64 b) (sin.f64 b)) 3))) (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) -1/3)) (pow.f64 (cos.f64 b) 2)))) (-.f64 (/.f64 (*.f64 -1/2 (sin.f64 b)) (/.f64 (cos.f64 b) r)) (/.f64 r (pow.f64 (/.f64 (cos.f64 b) (sin.f64 b)) 3)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(*.f64 b r)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(fma.f64 -1/6 (*.f64 (pow.f64 b 3) r) (*.f64 b r))
(*.f64 r (fma.f64 (pow.f64 b 3) -1/6 b))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (+.f64 (*.f64 r b) (*.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(fma.f64 -1/6 (*.f64 (pow.f64 b 3) r) (fma.f64 r b (*.f64 1/120 (*.f64 r (pow.f64 b 5)))))
(fma.f64 -1/6 (*.f64 (pow.f64 b 3) r) (*.f64 r (fma.f64 1/120 (pow.f64 b 5) b)))
(*.f64 r (fma.f64 1/120 (pow.f64 b 5) (fma.f64 (pow.f64 b 3) -1/6 b)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 b 7) r)) (+.f64 (*.f64 r b) (*.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(fma.f64 -1/6 (*.f64 (pow.f64 b 3) r) (fma.f64 -1/5040 (*.f64 r (pow.f64 b 7)) (fma.f64 r b (*.f64 1/120 (*.f64 r (pow.f64 b 5))))))
(fma.f64 -1/6 (*.f64 (pow.f64 b 3) r) (fma.f64 -1/5040 (*.f64 r (pow.f64 b 7)) (*.f64 r (fma.f64 1/120 (pow.f64 b 5) b))))
(*.f64 r (fma.f64 (pow.f64 b 3) -1/6 (fma.f64 1/120 (pow.f64 b 5) (fma.f64 -1/5040 (pow.f64 b 7) b))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
b
(+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)
(fma.f64 -1/6 (pow.f64 b 3) b)
(fma.f64 (pow.f64 b 3) -1/6 b)
(+.f64 (*.f64 -1/6 (pow.f64 b 3)) (+.f64 (*.f64 1/120 (pow.f64 b 5)) b))
(fma.f64 -1/6 (pow.f64 b 3) (fma.f64 1/120 (pow.f64 b 5) b))
(fma.f64 (pow.f64 b 3) -1/6 (fma.f64 1/120 (pow.f64 b 5) b))
(fma.f64 1/120 (pow.f64 b 5) (fma.f64 (pow.f64 b 3) -1/6 b))
(+.f64 (*.f64 -1/6 (pow.f64 b 3)) (+.f64 (*.f64 1/120 (pow.f64 b 5)) (+.f64 b (*.f64 -1/5040 (pow.f64 b 7)))))
(fma.f64 -1/6 (pow.f64 b 3) (+.f64 (fma.f64 1/120 (pow.f64 b 5) b) (*.f64 -1/5040 (pow.f64 b 7))))
(fma.f64 (pow.f64 b 3) -1/6 (fma.f64 1/120 (pow.f64 b 5) (fma.f64 -1/5040 (pow.f64 b 7) b)))

eval96.0ms (0.5%)

Compiler

Compiled 4452 to 1390 computations (68.8% saved)

prune162.0ms (0.9%)

Pruning

41 alts after pruning (41 fresh and 0 done)

PrunedKeptTotal
New16841209
Fresh000
Picked101
Done000
Total16941210
Error
0.1b
Counts
210 → 41
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
32.1b
(*.f64 b (/.f64 r (cos.f64 a)))
31.6b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
41.4b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
32.2b
(/.f64 (*.f64 b r) (cos.f64 a))
14.7b
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
14.5b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
30.8b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
46.0b
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
28.1b
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
0.4b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
44.5b
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
29.4b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
15.2b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
14.9b
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
32.7b
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
26.8b
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
50.7b
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
14.7b
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
14.5b
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
24.0b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
14.5b
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
0.4b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))))
25.5b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
15.2b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
0.4b
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
38.6b
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
23.7b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
15.3b
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
37.3b
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
30.2b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (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))))))
32.2b
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
31.9b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
14.5b
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
23.9b
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
39.7b
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
39.6b
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
Compiler

Compiled 1572 to 968 computations (38.4% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
0.1b
(*.f64 r (sin.f64 b))
0.2b
(*.f64 (sin.f64 b) (sin.f64 a))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Compiler

Compiled 55 to 12 computations (78.2% saved)

series33.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
7.0ms
r
@0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
5.0ms
a
@inf
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
3.0ms
b
@inf
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
2.0ms
a
@-inf
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
2.0ms
b
@-inf
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

rewrite182.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
818×log-prod_binary64
549×fma-def_binary64
291×fma-neg_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352
129328
2430428
Stop Event
node limit
Counts
3 → 249
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 b) (sin.f64 a))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(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 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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 (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 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.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 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b 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simplify129.0ms (0.7%)

Algorithm
egg-herbie
Rules
884×fma-def_binary64
677×associate-*l*_binary64
655×associate-*r*_binary64
356×times-frac_binary64
319×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01442035
14751988
216231928
Stop Event
node limit
Counts
333 → 300
Calls
Call 1
Inputs
(/.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 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.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 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.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 (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 (sin.f64 a) b) (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(*.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 (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 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(*.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 a)
(+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.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)))
(cos.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.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)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
Outputs
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (/.f64 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 (*.f64 b (*.f64 b r)) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))))
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) (*.f64 b b)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))))))
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(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) (*.f64 b b))))
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(fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 b (sin.f64 a) (*.f64 (pow.f64 b 5) (*.f64 (sin.f64 a) 1/120))))
(fma.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) -1/6) (*.f64 (sin.f64 a) (+.f64 b (*.f64 (pow.f64 b 5) 1/120))))
(+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)) (fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)) (fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 b (sin.f64 a) (*.f64 (pow.f64 b 5) (*.f64 (sin.f64 a) 1/120)))))
(+.f64 (*.f64 (sin.f64 a) (+.f64 b (*.f64 (pow.f64 b 5) 1/120))) (*.f64 (sin.f64 a) (+.f64 (*.f64 (pow.f64 b 3) -1/6) (*.f64 (pow.f64 b 7) -1/5040))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) a)
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 (sin.f64 b) a))
(fma.f64 (sin.f64 b) a (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 3) -1/6)))
(*.f64 (sin.f64 b) (+.f64 (*.f64 (pow.f64 a 3) -1/6) a))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 (sin.f64 b) a)))
(fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 (sin.f64 b) a (*.f64 (pow.f64 a 5) (*.f64 (sin.f64 b) 1/120))))
(fma.f64 (sin.f64 b) (*.f64 (pow.f64 a 5) 1/120) (*.f64 (sin.f64 b) (+.f64 (*.f64 (pow.f64 a 3) -1/6) a)))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)) (fma.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 (sin.f64 b) a))))
(fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)) (fma.f64 (sin.f64 b) a (*.f64 (pow.f64 a 5) (*.f64 (sin.f64 b) 1/120)))))
(+.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 (pow.f64 a 3) -1/6) a)) (*.f64 (sin.f64 b) (+.f64 (*.f64 1/120 (pow.f64 a 5)) (*.f64 -1/5040 (pow.f64 a 7)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (neg.f64 (*.f64 b (sin.f64 a))))
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) (*.f64 (*.f64 b b) (*.f64 (cos.f64 a) -1/2)))
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (fma.f64 -1 (*.f64 b (sin.f64 a)) (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b))))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) (fma.f64 -1/2 (*.f64 b (*.f64 b (cos.f64 a))) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))))
(+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 b b)) 1) (cos.f64 a)))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(cos.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(fma.f64 -1 (*.f64 (sin.f64 b) a) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 b) a) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b)))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(fma.f64 -1 (*.f64 (sin.f64 b) a) (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b))) (*.f64 (sin.f64 b) a))
(fma.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b) (*.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3)))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(-.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 b) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 b (/.f64 r (cos.f64 a)))
0.1b
(/.f64 r (cos.f64 a))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series32.0ms (0.2%)

Counts
2 → 40
Calls

15 calls:

TimeVariablePointExpression
14.0ms
a
@inf
(/.f64 r (cos.f64 a))
2.0ms
r
@0
(*.f64 b (/.f64 r (cos.f64 a)))
2.0ms
a
@0
(/.f64 r (cos.f64 a))
2.0ms
a
@0
(*.f64 b (/.f64 r (cos.f64 a)))
1.0ms
b
@0
(*.f64 b (/.f64 r (cos.f64 a)))

rewrite91.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
776×pow1_binary64
714×add-log-exp_binary64
714×log1p-expm1-u_binary64
714×expm1-log1p-u_binary64
697×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114415
2189615
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(/.f64 r (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 r (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 2) (cbrt.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 r) 2) (*.f64 (cbrt.f64 r) (/.f64 1 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) (sqrt.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 r) (*.f64 (sqrt.f64 r) (/.f64 1 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) (/.f64 1 (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 a)) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) 1) (/.f64 (cbrt.f64 r) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 r) 1) (/.f64 (sqrt.f64 r) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 r) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sqrt.f64 r) (cbrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (sqrt.f64 (cos.f64 a))) (/.f64 (cbrt.f64 r) (sqrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 r (cos.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 a) r) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 r (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 r (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 r (cos.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 r (cos.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r b) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 r b)) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r b) 1) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 r) b) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (neg.f64 r)) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 r (cos.f64 a)) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (/.f64 r (cos.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))))))

simplify66.0ms (0.4%)

Algorithm
egg-herbie
Rules
623×distribute-rgt-in_binary64
549×fma-def_binary64
525×distribute-lft-neg-in_binary64
520×distribute-rgt-neg-in_binary64
461×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059514
1205473
2825448
34142430
Stop Event
node limit
Counts
93 → 70
Calls
Call 1
Inputs
r
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) r)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)))) r))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)))) (+.f64 r (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 -1/720 r) (+.f64 (*.f64 1/48 r) (*.f64 1/2 (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r))))))))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b r)
(+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/48 (*.f64 r b)) (+.f64 (*.f64 -1/720 (*.f64 b r)) (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r)))))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
Outputs
r
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) r)
(fma.f64 1/2 (*.f64 r (*.f64 a a)) r)
(fma.f64 (*.f64 (*.f64 1/2 a) a) r r)
(*.f64 r (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)))) r))
(fma.f64 1/2 (*.f64 r (*.f64 a a)) (fma.f64 -1 (*.f64 (pow.f64 a 4) (*.f64 r -5/24)) r))
(fma.f64 1/2 (*.f64 r (*.f64 a a)) (-.f64 r (*.f64 r (*.f64 -5/24 (pow.f64 a 4)))))
(fma.f64 r (*.f64 1/2 (*.f64 a a)) (fma.f64 (pow.f64 a 4) (*.f64 r 5/24) r))
(*.f64 r (-.f64 (fma.f64 1/2 (*.f64 a a) 1) (*.f64 (pow.f64 a 4) -5/24)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)))) (+.f64 r (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 -1/720 r) (+.f64 (*.f64 1/48 r) (*.f64 1/2 (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r))))))))))
(fma.f64 1/2 (*.f64 r (*.f64 a a)) (+.f64 (fma.f64 -1 (*.f64 (pow.f64 a 4) (*.f64 r -5/24)) r) (neg.f64 (*.f64 (pow.f64 a 6) (fma.f64 -1/720 r (fma.f64 1/48 r (*.f64 1/2 (*.f64 r -5/24))))))))
(fma.f64 1/2 (*.f64 r (*.f64 a a)) (-.f64 (-.f64 r (*.f64 r (*.f64 -5/24 (pow.f64 a 4)))) (*.f64 (pow.f64 a 6) (+.f64 (*.f64 r -5/48) (*.f64 r 7/360)))))
(fma.f64 r (*.f64 1/2 (*.f64 a a)) (fma.f64 (pow.f64 a 4) (*.f64 r 5/24) (fma.f64 (pow.f64 a 6) (neg.f64 (*.f64 r -61/720)) r)))
(fma.f64 r (*.f64 1/2 (*.f64 a a)) (fma.f64 (pow.f64 a 6) (*.f64 r 61/720) (fma.f64 (pow.f64 a 4) (*.f64 r 5/24) r)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b r)
(*.f64 r b)
(+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))
(fma.f64 b r (*.f64 1/2 (*.f64 (*.f64 a a) (*.f64 r b))))
(*.f64 (+.f64 (*.f64 (*.f64 1/2 a) a) 1) (*.f64 r b))
(*.f64 (*.f64 r (fma.f64 1/2 (*.f64 a a) 1)) b)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r)))))
(fma.f64 -1 (*.f64 (pow.f64 a 4) (fma.f64 -1/4 (*.f64 r b) (*.f64 1/24 (*.f64 r b)))) (fma.f64 b r (*.f64 1/2 (*.f64 (*.f64 a a) (*.f64 r b)))))
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 1/2 a) a) 1) (*.f64 r b)) (*.f64 (pow.f64 a 4) (*.f64 (*.f64 r b) -5/24)))
(fma.f64 (fma.f64 1/2 (*.f64 a a) 1) (*.f64 r b) (*.f64 (pow.f64 a 4) (*.f64 (*.f64 r b) 5/24)))
(*.f64 (*.f64 r b) (-.f64 (fma.f64 1/2 (*.f64 a a) 1) (*.f64 (pow.f64 a 4) -5/24)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/48 (*.f64 r b)) (+.f64 (*.f64 -1/720 (*.f64 b r)) (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r)))))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))))
(fma.f64 -1 (*.f64 (pow.f64 a 4) (fma.f64 -1/4 (*.f64 r b) (*.f64 1/24 (*.f64 r b)))) (fma.f64 -1 (*.f64 (pow.f64 a 6) (fma.f64 1/48 (*.f64 r b) (fma.f64 -1/720 (*.f64 r b) (*.f64 1/2 (fma.f64 -1/4 (*.f64 r b) (*.f64 1/24 (*.f64 r b))))))) (fma.f64 b r (*.f64 1/2 (*.f64 (*.f64 a a) (*.f64 r b))))))
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 1/2 a) a) 1) (*.f64 r b)) (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/2 (*.f64 (*.f64 r b) -5/24)) (*.f64 (*.f64 r b) 7/360)))) (*.f64 (pow.f64 a 4) (*.f64 (*.f64 r b) -5/24)))
(fma.f64 (pow.f64 a 4) (*.f64 (*.f64 r b) 5/24) (fma.f64 (fma.f64 1/2 (*.f64 a a) 1) (*.f64 r b) (*.f64 (pow.f64 a 6) (neg.f64 (fma.f64 r (*.f64 1/48 b) (*.f64 (*.f64 r b) -19/180))))))
(-.f64 (*.f64 (*.f64 r b) (-.f64 (fma.f64 1/2 (*.f64 a a) 1) (*.f64 (pow.f64 a 4) -5/24))) (*.f64 (pow.f64 a 6) (*.f64 b (*.f64 r -61/720))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
0.2b
(*.f64 -1/6 (pow.f64 b 3))
2.4b
(*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b))
3.6b
(cos.f64 (+.f64 b a))
Compiler

Compiled 53 to 31 computations (41.5% saved)

series25.0ms (0.1%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
3.0ms
a
@0
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
2.0ms
r
@0
(*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b))
2.0ms
a
@inf
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
2.0ms
b
@inf
(*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b))
2.0ms
b
@inf
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))

rewrite131.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
770×log-prod_binary64
511×fma-def_binary64
293×fma-neg_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
130637
2438137
Stop Event
node limit
Counts
3 → 125
Calls
Call 1
Inputs
(*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b))
(*.f64 -1/6 (pow.f64 b 3))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) 2) (*.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 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r 1) (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) 1) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 -1/6 (pow.f64 b 3) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) 2) 1) (/.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) 1) (/.f64 (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (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 (fma.f64 -1/6 (pow.f64 b 3) b) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) 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 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) 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 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) 2) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) 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 r (fma.f64 -1/6 (pow.f64 b 3) b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))) 1))))))

simplify100.0ms (0.5%)

Algorithm
egg-herbie
Rules
723×associate-*r*_binary64
698×associate-*l*_binary64
484×times-frac_binary64
450×fma-def_binary64
436×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01181487
13751447
213741349
Stop Event
node limit
Counts
185 → 157
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r b)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(*.f64 -1/6 (*.f64 (pow.f64 b 3) r))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(*.f64 -1/6 (*.f64 (pow.f64 b 3) r))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))))
(*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(+.f64 (/.f64 (*.f64 r b) (cos.f64 (-.f64 a (*.f64 -1 b)))) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (-.f64 a (*.f64 -1 b))))))
(+.f64 (/.f64 (*.f64 r b) (cos.f64 (-.f64 a (*.f64 -1 b)))) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (-.f64 a (*.f64 -1 b))))))
(+.f64 (/.f64 (*.f64 r b) (cos.f64 (-.f64 a (*.f64 -1 b)))) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (-.f64 a (*.f64 -1 b))))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r))) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) (*.f64 a r))) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 b)) (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)) (pow.f64 (cos.f64 b) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) (*.f64 a r))) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)) (pow.f64 (cos.f64 b) 3)))))) (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)) (pow.f64 (cos.f64 b) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)) (pow.f64 (cos.f64 b) 2))))))))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
Outputs
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)
(*.f64 r b)
(*.f64 b r)
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(+.f64 (/.f64 (sin.f64 b) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) r) (fma.f64 -1/6 (pow.f64 b 3) b)) a)) (-.f64 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (cos.f64 b)) r) (*.f64 a (*.f64 a (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r) -1/2) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)))))))
(fma.f64 (*.f64 a a) (neg.f64 (*.f64 (*.f64 (/.f64 r (cos.f64 b)) (fma.f64 -1/6 (pow.f64 b 3) b)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))) (*.f64 (+.f64 (/.f64 (*.f64 a (sin.f64 b)) (cos.f64 b)) 1) (*.f64 (/.f64 r (cos.f64 b)) (fma.f64 -1/6 (pow.f64 b 3) b))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) (*.f64 a r))) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)) (pow.f64 (cos.f64 b) 3)))))) (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)) (pow.f64 (cos.f64 b) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)) (pow.f64 (cos.f64 b) 2))))))))))
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) (fma.f64 -1/6 (pow.f64 b 3) b)) (*.f64 r a)) (pow.f64 (cos.f64 b) 2)) (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 b) r))) (*.f64 -1 (+.f64 (*.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 b) r)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r)))))) (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 b) r)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r))))))) (*.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r))) -1/3))))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) r) (fma.f64 -1/6 (pow.f64 b 3) b)) a)) (fma.f64 -1 (fma.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r) -1/2) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r))) (*.f64 (pow.f64 a 3) (fma.f64 (/.f64 (sin.f64 b) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) r) (fma.f64 -1/6 (pow.f64 b 3) b))) -1/3 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r) -1/2) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r))))))) (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (cos.f64 b)) r)))
(-.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (sin.f64 b)) (cos.f64 b)) 1) (*.f64 (/.f64 r (cos.f64 b)) (fma.f64 -1/6 (pow.f64 b 3) b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 (/.f64 r (cos.f64 b)) (fma.f64 -1/6 (pow.f64 b 3) b)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (*.f64 (/.f64 r (cos.f64 b)) (fma.f64 -1/6 (pow.f64 b 3) b)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))) (*.f64 (/.f64 (*.f64 (sin.f64 b) -1/3) (pow.f64 (cos.f64 b) 2)) (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r))) a))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r) (cos.f64 (+.f64 b a)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r) (cos.f64 (+.f64 b a)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r) (cos.f64 (+.f64 b a)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r) (cos.f64 (+.f64 b a)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r) (cos.f64 (+.f64 b a)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r) (cos.f64 (+.f64 b a)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r) (cos.f64 (+.f64 b a)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) r) (cos.f64 (+.f64 b a)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
0.2b
(/.f64 r (cos.f64 (+.f64 b a)))
3.6b
(cos.f64 (+.f64 b a))
36.8b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))
Compiler

Compiled 54 to 14 computations (74.1% saved)

series28.0ms (0.2%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
5.0ms
r
@-inf
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))
2.0ms
a
@0
(/.f64 r (cos.f64 (+.f64 b a)))
2.0ms
b
@0
(/.f64 r (cos.f64 (+.f64 b a)))
1.0ms
a
@-inf
(/.f64 r (cos.f64 (+.f64 b a)))
1.0ms
r
@0
(/.f64 r (cos.f64 (+.f64 b a)))

rewrite118.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
625×log-prod_binary64
583×prod-diff_binary64
331×pow2_binary64
225×expm1-udef_binary64
225×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
127037
2345137
Stop Event
node limit
Counts
3 → 112
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule 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b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (*.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(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 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 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule 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b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3)) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 b a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 r) 2) (*.f64 (cbrt.f64 r) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 2) (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 r) (*.f64 (sqrt.f64 r) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (sqrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) 1) (/.f64 (cbrt.f64 r) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 r) 1) (/.f64 (sqrt.f64 r) (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 r (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sqrt.f64 r) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (pow.f64 (cbrt.f64 r) 2) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 r) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r (sin.f64 b)) 1) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))) (sqrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3)) 1/3))))))

simplify198.0ms (1.1%)

Algorithm
egg-herbie
Rules
675×fma-def_binary64
515×times-frac_binary64
448×associate-/l*_binary64
391×associate-*l/_binary64
363×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01472609
14762506
217052394
Stop Event
node limit
Counts
220 → 124
Calls
Call 1
Inputs
(/.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 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.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 (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2))) (/.f64 r (cos.f64 a))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (sin.f64 a)) (cos.f64 a)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2))) (/.f64 r (cos.f64 a)))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 b))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (/.f64 r (cos.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)))) (pow.f64 a 3))) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (/.f64 r (cos.f64 b)))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 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 (+.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 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.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 (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
Outputs
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) (cbrt.f64 -1))) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 r (cbrt.f64 -1))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) (cbrt.f64 -1))) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 r (cbrt.f64 -1))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) (cbrt.f64 -1))) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 r (cbrt.f64 -1))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) (cbrt.f64 -1))) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 r (cbrt.f64 -1))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 r (*.f64 b b))))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 r (*.f64 b b)) (*.f64 (/.f64 b (cos.f64 a)) r))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))))))
(+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 r (*.f64 b b))) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (*.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 r (*.f64 b b)) (*.f64 (/.f64 b (cos.f64 a)) r)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r)))))) (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) -1/3)) (pow.f64 b 4))))))
(+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 r (*.f64 b b))) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (*.f64 (/.f64 r (cos.f64 a)) b)) (*.f64 (-.f64 (*.f64 (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) -1/3) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (pow.f64 b 4))))
(-.f64 (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 r (*.f64 b b)) (*.f64 (/.f64 b (cos.f64 a)) r))) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sin.f64 a) -1/3) (pow.f64 (cos.f64 a) 2)) r) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)))) (pow.f64 b 4)))
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 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 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))
0.1b
(*.f64 (cos.f64 a) b)
0.1b
(*.f64 r (sin.f64 b))
4.1b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
Compiler

Compiled 80 to 29 computations (63.8% saved)

series27.0ms (0.1%)

Counts
3 → 64
Calls

21 calls:

TimeVariablePointExpression
10.0ms
b
@inf
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
2.0ms
b
@-inf
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
2.0ms
a
@0
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
2.0ms
r
@0
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
2.0ms
a
@-inf
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))

rewrite110.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
914×log-prod_binary64
507×fma-def_binary64
307×expm1-udef_binary64
307×log1p-udef_binary64
280×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01553
132851
2470151
Stop Event
node limit
Counts
3 → 90
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
(*.f64 (cos.f64 a) b)
(*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))
Outputs
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(sin.f64 a))) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (sqrt.f64 (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))) (cos.f64 a)))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))) 3))) (fma.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))) (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))) (neg.f64 (cos.f64 a))) (pow.f64 (cos.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (*.f64 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(sin.f64 b)) 3) (pow.f64 (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))) (cos.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 r (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))) (cos.f64 a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 r (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))) (cos.f64 a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 r (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))) (cos.f64 a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 r (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))) (cos.f64 a))) (sin.f64 b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (cos.f64 a))) (cbrt.f64 (pow.f64 (exp.f64 b) (cos.f64 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (cos.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (cos.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (cos.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (cos.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (cos.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (cos.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (cos.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (cos.f64 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 a) (*.f64 b -1/2)) b) (*.f64 (neg.f64 (sin.f64 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 (cos.f64 a) (*.f64 b -1/2))) (*.f64 b (neg.f64 (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))))) (cbrt.f64 (pow.f64 (exp.f64 b) (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) 3) -1/8) (pow.f64 (sin.f64 a) 3)) b) (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) 2) 1/4 (*.f64 (sin.f64 a) (fma.f64 (cos.f64 a) (*.f64 b -1/2) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) 2) 1/4) (pow.f64 (sin.f64 a) 2)) b) (fma.f64 (cos.f64 a) (*.f64 b -1/2) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (-.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) 3) -1/8) (pow.f64 (sin.f64 a) 3))) (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) 2) 1/4 (*.f64 (sin.f64 a) (fma.f64 (cos.f64 a) (*.f64 b -1/2) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (-.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) 2) 1/4) (pow.f64 (sin.f64 a) 2))) (fma.f64 (cos.f64 a) (*.f64 b -1/2) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (fma.f64 (cos.f64 a) (*.f64 b -1/2) (neg.f64 (sin.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 (cos.f64 a) (*.f64 b -1/2)) (*.f64 b (neg.f64 (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 a) (*.f64 b -1/2)) b (*.f64 (neg.f64 (sin.f64 a)) b))))))

simplify90.0ms (0.5%)

Algorithm
egg-herbie
Rules
908×associate-/l*_binary64
829×fma-def_binary64
651×associate-/r*_binary64
491×associate-*l/_binary64
437×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01782548
15682360
222522273
Stop Event
node limit
Counts
154 → 140
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4))))))
(*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (*.f64 4 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) r)) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (*.f64 4 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) r)) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))) (pow.f64 b 4))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (*.f64 4 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) r)) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))) (cos.f64 a))) (*.f64 -8 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))) (pow.f64 b 4))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2)))))))
(*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (*.f64 4 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) r)) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (*.f64 4 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) r)) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))) (pow.f64 b 4))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (*.f64 4 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) r)) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))) (pow.f64 b 4))) (+.f64 (*.f64 8 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) r)) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 5)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 a) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))) (*.f64 (cos.f64 a) (pow.f64 b 5)))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 b r))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 2)) (/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 r b))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))) (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 3))) (/.f64 (*.f64 (sin.f64 b) (*.f64 r (-.f64 (*.f64 1/4 (pow.f64 b 2)) 1/2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 2)))))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 r b))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 3))) (/.f64 (*.f64 (sin.f64 b) (*.f64 r (-.f64 (*.f64 1/4 (pow.f64 b 2)) 1/2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 2))))) (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 b (*.f64 r (-.f64 (*.f64 1/4 (pow.f64 b 2)) 1/2)))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 3)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (*.f64 b r)) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 3))) (/.f64 (*.f64 (sin.f64 b) (*.f64 r (-.f64 (*.f64 1/4 (pow.f64 b 2)) 1/2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 2))) b) (+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))))))))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) b)) b)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) b)) b))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 a 6) b)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) b)) b)))
(*.f64 -1 (*.f64 (sin.f64 a) b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(*.f64 -1/2 (pow.f64 b 2))
(+.f64 (*.f64 -1/2 (pow.f64 b 2)) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 -1/2 (pow.f64 b 2)) (+.f64 (*.f64 -1 (*.f64 a b)) (*.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 -1/2 (pow.f64 b 2)) (+.f64 (*.f64 -1 (*.f64 a b)) (*.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 (*.f64 r (*.f64 (sin.f64 a) (*.f64 b b))) (pow.f64 (cos.f64 a) 2)))
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) (*.f64 b b)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))))))
(+.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 a) (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (*.f64 r (pow.f64 (sin.f64 a) 2))) (pow.f64 (cos.f64 a) 3))) (*.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2))) (fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) (*.f64 b b))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r)))))) (cos.f64 a)) (*.f64 -1/2 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4))))))
(+.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 a) (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (*.f64 r (pow.f64 (sin.f64 a) 2))) (pow.f64 (cos.f64 a) 3))) (*.f64 (/.f64 r (cos.f64 a)) b)) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (*.f64 r (pow.f64 (sin.f64 a) 2))) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 4))))
(-.f64 (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2))) (fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) (*.f64 b b)))) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2))))) (pow.f64 b 4)))
(*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))
(*.f64 -2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 r (*.f64 b b))))
(*.f64 -2 (*.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) (*.f64 b b))))
(/.f64 -2 (/.f64 (/.f64 (*.f64 b (*.f64 b (cos.f64 a))) (sin.f64 b)) r))
(+.f64 (*.f64 4 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) r)) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(fma.f64 4 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 b 3))) (*.f64 -2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 r (*.f64 b b)))))
(fma.f64 4 (*.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (pow.f64 b 3))) (*.f64 -2 (*.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) (*.f64 b b)))))
(fma.f64 4 (*.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 b))) (/.f64 r (pow.f64 b 3))) (/.f64 -2 (/.f64 (/.f64 (*.f64 b (*.f64 b (cos.f64 a))) (sin.f64 b)) r)))
(+.f64 (*.f64 4 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) r)) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))) (pow.f64 b 4))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(fma.f64 4 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 b 3))) (fma.f64 -1 (/.f64 (fma.f64 8 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) (*.f64 (sin.f64 b) r))) (*.f64 4 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))) (pow.f64 b 4)) (*.f64 -2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 r (*.f64 b b))))))
(fma.f64 4 (*.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (pow.f64 b 3))) (-.f64 (*.f64 -2 (*.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) (*.f64 b b)))) (/.f64 (fma.f64 4 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 8 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) (*.f64 (sin.f64 b) r)))) (pow.f64 b 4))))
(-.f64 (fma.f64 4 (*.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 b))) (/.f64 r (pow.f64 b 3))) (/.f64 -2 (/.f64 (/.f64 (*.f64 b (*.f64 b (cos.f64 a))) (sin.f64 b)) r))) (/.f64 (fma.f64 4 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (/.f64 8 (/.f64 (/.f64 (pow.f64 (cos.f64 a) 3) r) (*.f64 (sin.f64 b) (pow.f64 (sin.f64 a) 2))))) (pow.f64 b 4)))
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(-.f64 (*.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (*.f64 b b) 1)) (+.f64 r (/.f64 (*.f64 b (*.f64 r a)) (fma.f64 -1/2 (*.f64 b b) 1)))) (*.f64 (*.f64 a a) (+.f64 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (fma.f64 -1/2 (*.f64 b b) 1) 2)) (-.f64 (*.f64 r (fma.f64 (*.f64 b b) 1/4 -1/2)) (/.f64 b (/.f64 (fma.f64 -1/2 (*.f64 b b) 1) (*.f64 b r))))) (*.f64 (fma.f64 1/6 (*.f64 (/.f64 (*.f64 b r) (pow.f64 (fma.f64 -1/2 (*.f64 b b) 1) 2)) (sin.f64 b)) (fma.f64 (/.f64 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (fma.f64 -1/2 (*.f64 b b) 1) 2)) (-.f64 (*.f64 r (fma.f64 (*.f64 b b) 1/4 -1/2)) (/.f64 b (/.f64 (fma.f64 -1/2 (*.f64 b b) 1) (*.f64 b r))))) (fma.f64 -1/2 (*.f64 b b) 1)) b (*.f64 (/.f64 (sin.f64 b) (pow.f64 (fma.f64 -1/2 (*.f64 b b) 1) 3)) (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) 1/4 -1/2)))))) a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 b (cos.f64 a))) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a)) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)) (cos.f64 a))) r)
b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1/2 (*.f64 b (*.f64 a a)) b)
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) b)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) b)) b))
(fma.f64 -1/2 (*.f64 b (*.f64 a a)) (fma.f64 1/24 (*.f64 b (pow.f64 a 4)) b))
(fma.f64 b (fma.f64 -1/2 (*.f64 a a) (*.f64 1/24 (pow.f64 a 4))) b)
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 a 6) b)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) b)) b)))
(fma.f64 -1/720 (*.f64 b (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 b (*.f64 a a)) (fma.f64 1/24 (*.f64 b (pow.f64 a 4)) b)))
(fma.f64 b (fma.f64 -1/720 (pow.f64 a 6) (*.f64 -1/2 (*.f64 a a))) (*.f64 (fma.f64 1/24 (pow.f64 a 4) 1) b))
(*.f64 -1 (*.f64 (sin.f64 a) b))
(neg.f64 (*.f64 b (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))
(*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b))
(*.f64 (cos.f64 a) (*.f64 b (*.f64 b -1/2)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))
(*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b))
(*.f64 (cos.f64 a) (*.f64 b (*.f64 b -1/2)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(*.f64 -1/2 (pow.f64 b 2))
(*.f64 -1/2 (*.f64 b b))
(*.f64 b (*.f64 b -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 b 2)) (*.f64 -1 (*.f64 a b)))
(fma.f64 -1/2 (*.f64 b b) (neg.f64 (*.f64 b a)))
(-.f64 (*.f64 b (*.f64 b -1/2)) (*.f64 b a))
(*.f64 b (-.f64 (*.f64 -1/2 b) a))
(+.f64 (*.f64 -1/2 (pow.f64 b 2)) (+.f64 (*.f64 -1 (*.f64 a b)) (*.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(fma.f64 -1/2 (*.f64 b b) (fma.f64 -1 (*.f64 b a) (*.f64 1/4 (*.f64 (*.f64 b b) (*.f64 a a)))))
(fma.f64 -1/2 (*.f64 b b) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 a a) 1/4)) (*.f64 b a)))
(-.f64 (*.f64 (*.f64 b b) (+.f64 -1/2 (*.f64 (*.f64 a a) 1/4))) (*.f64 b a))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 -1/2 (pow.f64 b 2)) (+.f64 (*.f64 -1 (*.f64 a b)) (*.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(fma.f64 1/6 (*.f64 b (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 b b) (fma.f64 -1 (*.f64 b a) (*.f64 1/4 (*.f64 (*.f64 b b) (*.f64 a a))))))
(fma.f64 1/6 (*.f64 b (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 b b) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 a a) 1/4)) (*.f64 b a))))
(fma.f64 b (*.f64 (pow.f64 a 3) 1/6) (-.f64 (*.f64 (*.f64 b b) (+.f64 -1/2 (*.f64 (*.f64 a a) 1/4))) (*.f64 b a)))
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))
(*.f64 (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))
(*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) -1/2)) (sin.f64 a)))

eval449.0ms (2.4%)

Compiler

Compiled 25626 to 9249 computations (63.9% saved)

prune324.0ms (1.8%)

Pruning

66 alts after pruning (63 fresh and 3 done)

PrunedKeptTotal
New965461011
Fresh191736
Picked011
Done224
Total986661052
Error
0.0b
Counts
1052 → 66
Alt Table
Click to see full alt table
StatusErrorProgram
43.6b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
0.7b
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (exp.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))))
41.3b
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (*.f64 b b) 1)) r)
32.1b
(*.f64 b (/.f64 r (cos.f64 a)))
31.6b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
46.1b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3))
1.3b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
31.6b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 b) (sin.f64 a)))))
0.7b
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
32.8b
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 a))
0.4b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) 1)))
14.5b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
30.8b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
46.0b
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
37.8b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
51.8b
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)
32.1b
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
31.7b
(/.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))))
44.5b
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
32.3b
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
29.4b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
15.2b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
50.7b
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
25.5b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
14.9b
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
14.5b
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
32.2b
(/.f64 b (/.f64 (cos.f64 a) r))
37.3b
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
23.9b
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
41.7b
(*.f64 r b)
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
32.2b
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
46.7b
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
24.0b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
37.5b
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
46.8b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
14.7b
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
20.9b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
14.7b
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
15.2b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
23.9b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
32.1b
(*.f64 (/.f64 b (cos.f64 a)) r)
49.8b
(*.f64 b (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
38.6b
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
31.8b
(/.f64 (*.f64 r b) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
39.7b
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
31.2b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sqrt.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (*.f64 (cos.f64 b) (cos.f64 a))))
32.2b
(/.f64 (*.f64 r b) (cos.f64 a))
14.5b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
28.1b
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
23.3b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
39.6b
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
14.5b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
15.3b
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
26.8b
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r a) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
0.3b
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
32.0b
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
31.9b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
45.7b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 3))
Compiler

Compiled 2064 to 1422 computations (31.1% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 64 to 12 computations (81.3% saved)

series35.0ms (0.2%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
3.0ms
a
@inf
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
2.0ms
b
@inf
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
2.0ms
b
@0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
2.0ms
b
@-inf
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
2.0ms
a
@0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))

rewrite375.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
661×log-prod_binary64
336×pow2_binary64
324×prod-diff_binary64
254×pow-unpow_binary64
238×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01377
126769
2350439
Stop Event
node limit
Counts
4 → 250
Calls
Call 1
Inputs
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
Outputs
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(+.f64 1 (expm1.f64 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)) (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) 1))))))

simplify159.0ms (0.9%)

Algorithm
egg-herbie
Rules
497×times-frac_binary64
452×associate-/l*_binary64
437×associate-*l/_binary64
359×associate-*r/_binary64
303×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01982979
16522833
223312734
Stop Event
node limit
Counts
358 → 318
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sin.f64 a) b))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))) (*.f64 -1/120 (*.f64 (sin.f64 a) (pow.f64 b 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 b) a))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 -1 (*.f64 (sin.f64 b) a)))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1 (*.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 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))))
(*.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 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.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 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(cos.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
Outputs
(*.f64 -1 (*.f64 (sin.f64 a) b))
(neg.f64 (*.f64 (sin.f64 a) b))
(*.f64 (sin.f64 a) (neg.f64 b))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (neg.f64 (*.f64 (sin.f64 a) b)))
(-.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) 1/6)) (*.f64 (sin.f64 a) b))
(*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (sin.f64 a) b) (*.f64 -1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (-.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 5) -1/120)) (*.f64 (sin.f64 a) b)))
(fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/120 (pow.f64 b 5)) b)))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))) (*.f64 -1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (sin.f64 a) b) (fma.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)) (*.f64 -1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.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 (pow.f64 b 7) (*.f64 (sin.f64 a) 1/5040))) (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)) (*.f64 (sin.f64 a) (+.f64 (*.f64 -1/120 (pow.f64 b 5)) (*.f64 1/5040 (pow.f64 b 7)))))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 b) a))
(neg.f64 (*.f64 a (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 a))
(*.f64 a (neg.f64 (sin.f64 b)))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 -1 (*.f64 (sin.f64 b) a)))
(fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (neg.f64 (*.f64 a (sin.f64 b))))
(-.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 3) 1/6)) (*.f64 a (sin.f64 b)))
(*.f64 (sin.f64 b) (-.f64 (*.f64 1/6 (pow.f64 a 3)) a))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1 (*.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)) (fma.f64 -1 (*.f64 a (sin.f64 b)) (*.f64 -1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))))
(fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 (sin.f64 b) (neg.f64 a))))
(fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 (sin.f64 b) (-.f64 (*.f64 -1/120 (pow.f64 a 5)) a)))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))))
(fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1 (*.f64 a (sin.f64 b)) (fma.f64 -1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))))
(fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (-.f64 (fma.f64 -1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 7) 1/5040))) (*.f64 a (sin.f64 b))))
(+.f64 (*.f64 (sin.f64 b) (-.f64 (*.f64 1/6 (pow.f64 a 3)) a)) (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/120 (pow.f64 a 5)) (*.f64 1/5040 (pow.f64 a 7)))))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.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)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3) (/.f64 (*.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b))))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 (*.f64 b b) (+.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) b))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3) (fma.f64 -1 (*.f64 (pow.f64 b 4) (fma.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (fma.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (neg.f64 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))))) (/.f64 (*.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))) (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b)) (*.f64 (pow.f64 b 4) (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (*.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))))))
(-.f64 (+.f64 (/.f64 b (cos.f64 a)) (*.f64 (*.f64 b b) (+.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) b)))) (*.f64 (pow.f64 b 4) (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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) (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))
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(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))

localize34.0ms (0.2%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 b)
0.2b
(/.f64 (cos.f64 (+.f64 b a)) r)
0.2b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
3.6b
(cos.f64 (+.f64 b a))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series8.0ms (0%)

Counts
2 → 72
Calls

18 calls:

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

rewrite104.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
610×prod-diff_binary64
583×log-prod_binary64
298×pow2_binary64
208×fma-def_binary64
207×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
120623
2311923
Stop Event
node limit
Counts
2 → 89
Calls
Call 1
Inputs
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) r)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 2) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(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 (sin.f64 b)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (cos.f64 (+.f64 b a))) (/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (/.f64 (sqrt.f64 (sin.f64 b)) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 (sin.f64 b) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) 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 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (cbrt.f64 (*.f64 r r))) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (sqrt.f64 r)) (sqrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 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 pow.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 b a)) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (*.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (*.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 1 (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 1) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 r r))) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (cbrt.f64 (*.f64 r r))) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 (*.f64 r r))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 r)) (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (sqrt.f64 r)) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) (pow.f64 r 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 1))))))

simplify129.0ms (0.7%)

Algorithm
egg-herbie
Rules
691×associate-*r*_binary64
626×associate-*l*_binary64
431×fma-def_binary64
414×associate-/l*_binary64
372×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01341407
14141360
213971327
Stop Event
node limit
Counts
161 → 126
Calls
Call 1
Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.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 (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 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 (+.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 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (*.f64 b b)))))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b (*.f64 b r)))))
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 b (*.f64 b r)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (*.f64 b b)))) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b (*.f64 b r)))) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (/.f64 r (/.f64 (cos.f64 a) b))))
(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 b (*.f64 b r)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (*.f64 b b)))) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) -1/3)) (pow.f64 b 4))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b (*.f64 b r)))) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (/.f64 r (/.f64 (cos.f64 a) b))) (*.f64 (-.f64 (/.f64 (*.f64 (sin.f64 a) -1/3) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (pow.f64 b 4))))
(-.f64 (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 b (*.f64 b r)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (*.f64 (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 r -1/3)) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (pow.f64 b 4)))
(/.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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.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))))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) a))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))) (fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) 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 r a))) (*.f64 a (*.f64 a (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r))))))
(fma.f64 (*.f64 a a) (neg.f64 (fma.f64 -1/2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) a)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))) (fma.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3))) (fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.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 (-.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (*.f64 a (*.f64 a (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r))))) (*.f64 (pow.f64 a 3) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r)))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r a) (-.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r))) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) r) -1/3)))) (fma.f64 -1/2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (neg.f64 (/.f64 (sin.f64 a) (/.f64 r b))))
(-.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) b))
(-.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 b r) (sin.f64 a)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (/.f64 (cos.f64 a) r) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 r b)) (*.f64 -1/2 (/.f64 (cos.f64 a) (/.f64 r (*.f64 b b))))))
(+.f64 (-.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) b)) (/.f64 -1/2 (/.f64 r (*.f64 (cos.f64 a) (*.f64 b b)))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 a) (/.f64 r b)) b) (/.f64 (cos.f64 a) r)) (*.f64 (/.f64 b r) (sin.f64 a)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(fma.f64 1/6 (/.f64 (sin.f64 a) (/.f64 r (pow.f64 b 3))) (+.f64 (/.f64 (cos.f64 a) r) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 r b)) (*.f64 -1/2 (/.f64 (cos.f64 a) (/.f64 r (*.f64 b b)))))))
(+.f64 (-.f64 (/.f64 -1/2 (/.f64 r (*.f64 (cos.f64 a) (*.f64 b b)))) (*.f64 (/.f64 (sin.f64 a) r) b)) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 3)) (/.f64 (cos.f64 a) r)))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 b 3) r) (sin.f64 a)) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 a) (/.f64 r b)) b) (/.f64 (cos.f64 a) r)) (*.f64 (/.f64 b r) (sin.f64 a))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (neg.f64 (/.f64 (sin.f64 b) (/.f64 r a))))
(-.f64 (/.f64 (cos.f64 b) r) (/.f64 (sin.f64 b) (/.f64 r a)))
(-.f64 (/.f64 (cos.f64 b) r) (*.f64 a (/.f64 (sin.f64 b) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 r (cos.f64 b))) (neg.f64 (/.f64 (sin.f64 b) (/.f64 r a)))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) r) (cos.f64 b)) (/.f64 (*.f64 (neg.f64 a) (sin.f64 b)) r)))
(-.f64 (fma.f64 -1/2 (/.f64 (cos.f64 b) (/.f64 (/.f64 r a) a)) (/.f64 (cos.f64 b) r)) (*.f64 a (/.f64 (sin.f64 b) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 r (cos.f64 b))) (fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 r a)) (*.f64 1/6 (/.f64 (sin.f64 b) (/.f64 r (pow.f64 a 3)))))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) r) (cos.f64 b)) (-.f64 (/.f64 1/6 (/.f64 r (*.f64 (sin.f64 b) (pow.f64 a 3)))) (/.f64 (sin.f64 b) (/.f64 r a)))))
(+.f64 (/.f64 (cos.f64 b) r) (-.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (/.f64 (sin.f64 b) r)) (*.f64 -1/2 (/.f64 (cos.f64 b) (/.f64 (/.f64 r a) a)))) (*.f64 a (/.f64 (sin.f64 b) r))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 r (cos.f64 b))
0.2b
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
0.2b
(pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3)
36.8b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3))
Compiler

Compiled 40 to 13 computations (67.5% saved)

series21.0ms (0.1%)

Counts
4 → 76
Calls

24 calls:

TimeVariablePointExpression
3.0ms
b
@0
(pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3)
2.0ms
r
@0
(/.f64 r (cos.f64 b))
1.0ms
r
@inf
(pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3)
1.0ms
b
@inf
(pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3)
1.0ms
r
@-inf
(pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3)

rewrite80.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
966×pow1_binary64
902×add-log-exp_binary64
902×log1p-expm1-u_binary64
902×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
121542
2249642
Stop Event
node limit
Counts
4 → 127
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3))
(pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (cos.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 r (cos.f64 b)) 2)) (*.f64 (cbrt.f64 (/.f64 r (cos.f64 b))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) 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simplify61.0ms (0.3%)

Algorithm
egg-herbie
Rules
908×fma-def_binary64
786×associate-*l*_binary64
756×associate-*r*_binary64
439×distribute-rgt-in_binary64
432×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01171660
13751516
214201364
Stop Event
node limit
Counts
203 → 135
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 b)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 b)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 b)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 b)))
(*.f64 r b)
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (*.f64 r b))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r))))))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 r) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (+.f64 (*.f64 -1/720 r) (*.f64 1/24 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(*.f64 (pow.f64 r 3) (pow.f64 b 3))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 r 2))) (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 r 2))) (pow.f64 b 5)) (*.f64 (pow.f64 r 3) (pow.f64 b 3)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 r 2) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (+.f64 (*.f64 r (+.f64 (pow.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) 2) (*.f64 2 (*.f64 r (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r))))))))) (*.f64 2 (*.f64 (pow.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) 2) r)))) (pow.f64 b 7)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 r 2))) (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 r 2))) (pow.f64 b 5)) (*.f64 (pow.f64 r 3) (pow.f64 b 3))))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 r 2) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (+.f64 (*.f64 r (+.f64 (pow.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) 2) (*.f64 2 (*.f64 r (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r))))))))) (*.f64 2 (*.f64 (pow.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) 2) r)))) (pow.f64 b 7)) (+.f64 (*.f64 (pow.f64 b 9) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1/5040 r) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (+.f64 (*.f64 -1/720 r) (*.f64 1/24 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) r)) (*.f64 2 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))))) r) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (*.f64 r (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 r) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (+.f64 (*.f64 -1/720 r) (*.f64 1/24 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (pow.f64 r 2)) (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (+.f64 (pow.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) 2) (*.f64 2 (*.f64 r (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r))))))))))))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 r 2))) (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 r 2))) (pow.f64 b 5)) (*.f64 (pow.f64 r 3) (pow.f64 b 3)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r b)
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (*.f64 r b))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r))))))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 r) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (+.f64 (*.f64 -1/720 r) (*.f64 1/24 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
r
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) r)) r)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) r)) r))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) r)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 r) (+.f64 (*.f64 1/48 r) (*.f64 1/2 (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r))))) (pow.f64 b 6))) r)))
Outputs
(/.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 (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 (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 (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 (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 (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 (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 (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 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 b)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 b) (*.f64 r (cbrt.f64 -1))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (cbrt.f64 -1)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 b)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 b) (*.f64 r (cbrt.f64 -1))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (cbrt.f64 -1)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 b)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 b) (*.f64 r (cbrt.f64 -1))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (cbrt.f64 -1)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 b)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 b) (*.f64 r (cbrt.f64 -1))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (cbrt.f64 -1)))
(*.f64 r b)
(*.f64 b r)
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (*.f64 r b))
(fma.f64 (*.f64 r 1/3) (pow.f64 b 3) (*.f64 b r))
(fma.f64 b r (*.f64 r (*.f64 1/3 (pow.f64 b 3))))
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r))))))))
(fma.f64 (*.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (*.f64 (pow.f64 b 5) (-.f64 (*.f64 r 1/120) (fma.f64 1/24 r (*.f64 -1/2 (*.f64 r 1/3)))))))
(fma.f64 (*.f64 r 1/3) (pow.f64 b 3) (fma.f64 (pow.f64 b 5) (-.f64 (*.f64 r -1/30) (*.f64 r -1/6)) (*.f64 b r)))
(fma.f64 (pow.f64 b 5) (*.f64 r 2/15) (*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 r) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (+.f64 (*.f64 -1/720 r) (*.f64 1/24 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))))))
(fma.f64 (*.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (*.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (*.f64 r 1/120) (fma.f64 1/24 r (*.f64 -1/2 (*.f64 r 1/3)))) (fma.f64 -1/720 r (*.f64 (*.f64 r 1/3) 1/24)))) (pow.f64 b 7) (fma.f64 r b (*.f64 (pow.f64 b 5) (-.f64 (*.f64 r 1/120) (fma.f64 1/24 r (*.f64 -1/2 (*.f64 r 1/3))))))))
(fma.f64 (*.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (*.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (*.f64 r -1/30) (*.f64 r -1/6)) (fma.f64 r -1/720 (*.f64 r 1/72)))) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (-.f64 (*.f64 r -1/30) (*.f64 r -1/6)) (*.f64 b r))))
(fma.f64 (-.f64 (*.f64 r -1/5040) (fma.f64 -1/2 (*.f64 r 2/15) (*.f64 r 1/80))) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (*.f64 r 2/15) (*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))))
(/.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 (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 (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 (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 (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 (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 (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 (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 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 r 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (pow.f64 r 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 r 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (pow.f64 r 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 r 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (pow.f64 r 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 r 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (pow.f64 r 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 r 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (pow.f64 r 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 r 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (pow.f64 r 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 r 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (pow.f64 r 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 r 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (pow.f64 r 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 3))
(/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 r 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (pow.f64 r 3))
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
r
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) r)) r)
(fma.f64 1/2 (*.f64 r (*.f64 b b)) r)
(fma.f64 1/2 (*.f64 b (*.f64 b r)) r)
(fma.f64 r (*.f64 b (*.f64 b 1/2)) r)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) r)) r))
(fma.f64 -1 (*.f64 (*.f64 r -5/24) (pow.f64 b 4)) (fma.f64 1/2 (*.f64 r (*.f64 b b)) r))
(-.f64 (fma.f64 1/2 (*.f64 b (*.f64 b r)) r) (*.f64 r (*.f64 -5/24 (pow.f64 b 4))))
(fma.f64 (pow.f64 b 4) (*.f64 r 5/24) (fma.f64 r (*.f64 b (*.f64 b 1/2)) r))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) r)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 r) (+.f64 (*.f64 1/48 r) (*.f64 1/2 (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r))))) (pow.f64 b 6))) r)))
(fma.f64 -1 (*.f64 (*.f64 r -5/24) (pow.f64 b 4)) (fma.f64 1/2 (*.f64 r (*.f64 b b)) (fma.f64 -1 (*.f64 (fma.f64 -1/720 r (fma.f64 1/48 r (*.f64 1/2 (*.f64 r -5/24)))) (pow.f64 b 6)) r)))
(-.f64 (fma.f64 1/2 (*.f64 b (*.f64 b r)) (-.f64 r (*.f64 (+.f64 (*.f64 r -5/48) (*.f64 r 7/360)) (pow.f64 b 6)))) (*.f64 r (*.f64 -5/24 (pow.f64 b 4))))
(-.f64 (fma.f64 (pow.f64 b 4) (*.f64 r 5/24) (fma.f64 r (*.f64 b (*.f64 b 1/2)) r)) (*.f64 (*.f64 r -61/720) (pow.f64 b 6)))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 52 to 12 computations (76.9% saved)

series13.0ms (0.1%)

Counts
3 → 64
Calls

21 calls:

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

rewrite77.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
819×log-prod_binary64
527×fma-def_binary64
282×fma-neg_binary64
277×expm1-udef_binary64
277×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
129138
2421438
Stop Event
node limit
Counts
3 → 84
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(*.f64 (sin.f64 a) b)
(*.f64 (cos.f64 b) (cos.f64 a))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2) (pow.f64 (*.f64 b (sin.f64 a)) 2))) (fma.f64 b (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 r (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (sin.f64 a))) (cbrt.f64 (pow.f64 (exp.f64 b) (sin.f64 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (sin.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (sin.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sin.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (sin.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (sin.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (sin.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (sin.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (sin.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (sin.f64 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 1))))))

simplify59.0ms (0.3%)

Algorithm
egg-herbie
Rules
869×fma-def_binary64
802×associate-/r*_binary64
398×associate-*l/_binary64
344×associate-*r/_binary64
198×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01681987
15531894
222331795
Stop Event
node limit
Counts
148 → 133
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r))) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r))) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r))) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r))) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 3) (*.f64 (pow.f64 (cos.f64 b) 3) r))) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r))) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r))) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r))) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r))) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r))) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 3) (*.f64 (pow.f64 (cos.f64 b) 3) r))) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r))) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 b r))) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 2))) (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 r b))) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (*.f64 b r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 r b)) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) b) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 r b))) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 -1/6 (*.f64 (pow.f64 a 3) b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 a 5) b)) (*.f64 -1/6 (*.f64 (pow.f64 a 3) b))))
(+.f64 (*.f64 a b) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 a 5) b)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) b)) (*.f64 -1/5040 (*.f64 (pow.f64 a 7) b)))))
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (*.f64 -1/720 (*.f64 (cos.f64 a) (pow.f64 b 6))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b)))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 a 6) (cos.f64 b))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
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(*.f64 -1 (+.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (sin.f64 a) 2)) (*.f64 (/.f64 (cos.f64 a) b) (/.f64 (*.f64 r (cos.f64 b)) b)) (*.f64 (/.f64 (sin.f64 b) (sin.f64 a)) (/.f64 r b))) (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (sin.f64 a) 4)) (/.f64 (pow.f64 (cos.f64 a) 3) (/.f64 (pow.f64 b 4) (*.f64 r (pow.f64 (cos.f64 b) 3)))) (*.f64 (/.f64 (sin.f64 b) (pow.f64 (sin.f64 a) 3)) (/.f64 (*.f64 r (pow.f64 (cos.f64 b) 2)) (/.f64 (pow.f64 b 3) (pow.f64 (cos.f64 a) 2)))))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (sin.f64 b) (pow.f64 (sin.f64 a) 2)) (*.f64 b b)) (*.f64 (cos.f64 b) (*.f64 (cos.f64 a) r)) (*.f64 (/.f64 (sin.f64 b) (sin.f64 a)) (/.f64 r b)))) (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (sin.f64 a) 4)) (/.f64 (*.f64 (pow.f64 (cos.f64 b) 3) (*.f64 r (pow.f64 (cos.f64 a) 3))) (pow.f64 b 4)) (*.f64 (/.f64 (sin.f64 b) (pow.f64 b 3)) (/.f64 (*.f64 r (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2))) (pow.f64 (sin.f64 a) 3)))))
(/.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) (*.f64 a (*.f64 b r))) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (*.f64 (sin.f64 b) (*.f64 (*.f64 b a) r)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 r (*.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 r (/.f64 (*.f64 r (*.f64 b a)) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 2))) (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 r b))) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 r (*.f64 b b)))) (/.f64 (*.f64 -1/2 (*.f64 (sin.f64 b) r)) (cos.f64 b))) (*.f64 a a)) (/.f64 (*.f64 (sin.f64 b) (*.f64 (*.f64 b a) r)) (pow.f64 (cos.f64 b) 2))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (-.f64 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 r (*.f64 b a))) (*.f64 a (*.f64 a (-.f64 (/.f64 -1/2 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))) (/.f64 (*.f64 r (*.f64 (sin.f64 b) (*.f64 b b))) (pow.f64 (cos.f64 b) 3)))))))
(fma.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (-.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (cos.f64 b) 2)))) (neg.f64 (*.f64 a a)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 r (/.f64 (*.f64 r (*.f64 b a)) (cos.f64 b)))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (*.f64 b r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 r b)) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) b) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 r b))) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 r (*.f64 b b)))) (/.f64 (*.f64 -1/2 (*.f64 (sin.f64 b) r)) (cos.f64 b))) (*.f64 a a)) (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) b) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) b) (pow.f64 (cos.f64 b) 2)) (/.f64 (fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 r (*.f64 b b)))) (/.f64 (*.f64 -1/2 (*.f64 (sin.f64 b) r)) (cos.f64 b))) (/.f64 (cos.f64 b) b))))) (/.f64 (*.f64 (sin.f64 b) (*.f64 (*.f64 b a) r)) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (-.f64 (-.f64 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 r (*.f64 b a))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 -1/2 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))) (/.f64 (*.f64 r (*.f64 (sin.f64 b) (*.f64 b b))) (pow.f64 (cos.f64 b) 3))) (cos.f64 b)) b) (*.f64 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 b r)) -1/3)))) (*.f64 a (*.f64 a (-.f64 (/.f64 -1/2 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))) (/.f64 (*.f64 r (*.f64 (sin.f64 b) (*.f64 b b))) (pow.f64 (cos.f64 b) 3)))))))
(fma.f64 -1 (*.f64 (*.f64 a a) (+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (-.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (cos.f64 b) 2)))) (*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 b r)) -1/3 (*.f64 (/.f64 b (cos.f64 b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (-.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (cos.f64 b) 2)))))) a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 r (/.f64 (*.f64 r (*.f64 b a)) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 b (neg.f64 (sin.f64 a)))) r))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b))
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 -1/6 (*.f64 (pow.f64 a 3) b)))
(fma.f64 a b (*.f64 -1/6 (*.f64 b (pow.f64 a 3))))
(*.f64 b (+.f64 (*.f64 -1/6 (pow.f64 a 3)) a))
(*.f64 b (fma.f64 -1/6 (pow.f64 a 3) a))
(+.f64 (*.f64 a b) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 a 5) b)) (*.f64 -1/6 (*.f64 (pow.f64 a 3) b))))
(fma.f64 a b (fma.f64 1/120 (*.f64 b (pow.f64 a 5)) (*.f64 -1/6 (*.f64 b (pow.f64 a 3)))))
(fma.f64 b a (*.f64 b (+.f64 (*.f64 -1/6 (pow.f64 a 3)) (*.f64 1/120 (pow.f64 a 5)))))
(*.f64 b (+.f64 (fma.f64 -1/6 (pow.f64 a 3) a) (*.f64 1/120 (pow.f64 a 5))))
(+.f64 (*.f64 a b) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 a 5) b)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) b)) (*.f64 -1/5040 (*.f64 (pow.f64 a 7) b)))))
(fma.f64 a b (fma.f64 1/120 (*.f64 b (pow.f64 a 5)) (fma.f64 -1/6 (*.f64 b (pow.f64 a 3)) (*.f64 -1/5040 (*.f64 b (pow.f64 a 7))))))
(fma.f64 b a (fma.f64 1/120 (*.f64 b (pow.f64 a 5)) (*.f64 b (+.f64 (*.f64 -1/6 (pow.f64 a 3)) (*.f64 -1/5040 (pow.f64 a 7))))))
(*.f64 b (+.f64 (fma.f64 -1/6 (pow.f64 a 3) (*.f64 -1/5040 (pow.f64 a 7))) (+.f64 a (*.f64 1/120 (pow.f64 a 5)))))
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (cos.f64 a) (*.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b))))
(fma.f64 -1/2 (*.f64 b (*.f64 b (cos.f64 a))) (cos.f64 a))
(fma.f64 (cos.f64 a) (*.f64 (*.f64 b b) -1/2) (cos.f64 a))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(fma.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)) (+.f64 (cos.f64 a) (*.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b)))))
(fma.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)) (fma.f64 -1/2 (*.f64 b (*.f64 b (cos.f64 a))) (cos.f64 a)))
(+.f64 (cos.f64 a) (*.f64 (cos.f64 a) (+.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 1/24 (pow.f64 b 4)))))
(+.f64 (*.f64 -1/720 (*.f64 (cos.f64 a) (pow.f64 b 6))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(fma.f64 -1/720 (*.f64 (cos.f64 a) (pow.f64 b 6)) (fma.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)) (+.f64 (cos.f64 a) (*.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b))))))
(fma.f64 -1/720 (*.f64 (cos.f64 a) (pow.f64 b 6)) (fma.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)) (fma.f64 -1/2 (*.f64 b (*.f64 b (cos.f64 a))) (cos.f64 a))))
(+.f64 (fma.f64 (cos.f64 a) (*.f64 (*.f64 b b) -1/2) (cos.f64 a)) (*.f64 (cos.f64 a) (+.f64 (*.f64 1/24 (pow.f64 b 4)) (*.f64 -1/720 (pow.f64 b 6)))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b)))
(fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (fma.f64 1/24 (*.f64 (cos.f64 b) (pow.f64 a 4)) (cos.f64 b)))
(+.f64 (cos.f64 b) (*.f64 (cos.f64 b) (+.f64 (*.f64 -1/2 (*.f64 a a)) (*.f64 1/24 (pow.f64 a 4)))))
(*.f64 (cos.f64 b) (+.f64 (fma.f64 -1/2 (*.f64 a a) 1) (*.f64 1/24 (pow.f64 a 4))))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 a 6) (cos.f64 b))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b))))
(fma.f64 -1/720 (*.f64 (cos.f64 b) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (fma.f64 1/24 (*.f64 (cos.f64 b) (pow.f64 a 4)) (cos.f64 b))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 a 4)) 1) (cos.f64 b)) (*.f64 (cos.f64 b) (+.f64 (*.f64 -1/720 (pow.f64 a 6)) (*.f64 -1/2 (*.f64 a a)))))
(fma.f64 (cos.f64 b) (fma.f64 -1/720 (pow.f64 a 6) (*.f64 -1/2 (*.f64 a a))) (*.f64 (fma.f64 1/24 (pow.f64 a 4) 1) (cos.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))

eval368.0ms (2%)

Compiler

Compiled 21195 to 6887 computations (67.5% saved)

prune683.0ms (3.7%)

Pruning

82 alts after pruning (75 fresh and 7 done)

PrunedKeptTotal
New80844852
Fresh273158
Picked011
Done167
Total83682918
Error
0.0b
Counts
918 → 82
Alt Table
Click to see full alt table
StatusErrorProgram
58.0b
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
48.2b
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 2))
43.6b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
29.4b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
30.9b
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
25.5b
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
38.5b
(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) r)
32.1b
(*.f64 b (/.f64 r (cos.f64 a)))
31.6b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
46.1b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3))
24.5b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
14.5b
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))
31.6b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 b) (sin.f64 a)))))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
14.5b
(/.f64 (sin.f64 b) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1))
52.6b
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
32.8b
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 a))
23.9b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
0.3b
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
25.3b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)))
46.0b
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
51.8b
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)
24.0b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
32.1b
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
31.7b
(/.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))))
44.5b
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
23.9b
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
32.3b
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
28.1b
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) r)
29.4b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
15.2b
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
32.2b
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
15.2b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
14.5b
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
32.2b
(/.f64 b (/.f64 (cos.f64 a) r))
32.1b
(*.f64 (/.f64 b (cos.f64 a)) r)
40.6b
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
29.3b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
41.7b
(*.f64 r b)
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
31.9b
(*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 b b)) 1) (cos.f64 a)))) r)
32.2b
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
24.0b
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
46.7b
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
14.5b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
37.5b
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
0.3b
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
28.9b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) 3)) r)
20.9b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
14.7b
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
52.0b
(/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1))
49.8b
(*.f64 b (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
15.2b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) r)
28.1b
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
0.4b
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) r)
31.2b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sqrt.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (*.f64 (cos.f64 b) (cos.f64 a))))
24.0b
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))))
14.6b
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
32.2b
(/.f64 (*.f64 r b) (cos.f64 a))
39.7b
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
0.3b
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
39.6b
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
23.3b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
33.5b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
24.0b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
30.6b
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
42.3b
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
53.5b
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))))
55.3b
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
24.0b
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
50.4b
(cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))
43.4b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 1) r)
14.5b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
0.3b
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
32.0b
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
61.8b
(*.f64 (/.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (neg.f64 r) b))
24.0b
(*.f64 r (*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
Compiler

Compiled 2348 to 1638 computations (30.2% saved)

localize78.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r)
0.2b
(*.f64 (sin.f64 b) (sin.f64 a))
0.2b
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
1.9b
(/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)
Compiler

Compiled 71 to 13 computations (81.7% saved)

series65.0ms (0.4%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
30.0ms
b
@inf
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
4.0ms
a
@0
(/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)
3.0ms
b
@-inf
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
2.0ms
a
@-inf
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
2.0ms
r
@-inf
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))

rewrite132.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
573×fma-def_binary64
385×fma-neg_binary64
311×expm1-udef_binary64
311×log1p-udef_binary64
257×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01448
132036
2529836
Stop Event
node limit
Counts
3 → 121
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (/.f64 r (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 (sin.f64 a) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 a) (*.f64 (sin.f64 b) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (/.f64 1 (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (*.f64 (sin.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) 1) (/.f64 (sin.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 a) 1) (/.f64 (sin.f64 b) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cbrt.f64 (*.f64 r r))) (/.f64 (sin.f64 a) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 a) (cbrt.f64 (*.f64 r r))) (/.f64 (sin.f64 b) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 r r))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2) (cbrt.f64 (*.f64 r r))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 r r))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (sqrt.f64 r)) (/.f64 (sin.f64 a) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 a) (sqrt.f64 r)) (/.f64 (sin.f64 b) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 r)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2) (sqrt.f64 r)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (*.f64 (sin.f64 b) (sin.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule 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a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 1))))))
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(cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 (*.f64 r r))) (/.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (/.f64 (cos.f64 a) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 a) (sqrt.f64 r)) (/.f64 (cos.f64 b) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (sqrt.f64 r)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 r (cos.f64 b)) (cos.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a))) 1))))))

simplify142.0ms (0.8%)

Algorithm
egg-herbie
Rules
768×associate-*r*_binary64
688×associate-*l*_binary64
546×associate-/l*_binary64
515×fma-def_binary64
376×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01782468
15582336
218292299
Stop Event
node limit
Counts
229 → 175
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 a) b) r)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (/.f64 (*.f64 (sin.f64 a) b) r))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (*.f64 (sin.f64 a) b) r) (*.f64 1/120 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 5)) r))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (*.f64 (sin.f64 a) b) r) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 5)) r)) (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 7)) r)))))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) a) r)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)) (/.f64 (*.f64 (sin.f64 b) a) r))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 5)) r)) (/.f64 (*.f64 (sin.f64 b) a) r)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 7)) r)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 5)) r)) (/.f64 (*.f64 (sin.f64 b) a) r))))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(/.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 -1 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 -1 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 -1 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 -1 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 -1 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 4)) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 6)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 4)) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 4) (cos.f64 b)) r)) (+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 4) (cos.f64 b)) r)) (+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a 6) (cos.f64 b)) r)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)))))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
Outputs
(/.f64 (*.f64 (sin.f64 a) b) r)
(/.f64 (sin.f64 a) (/.f64 r b))
(*.f64 (/.f64 (sin.f64 a) r) b)
(*.f64 (/.f64 b r) (sin.f64 a))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (/.f64 (*.f64 (sin.f64 a) b) r))
(fma.f64 -1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r) (/.f64 (sin.f64 a) (/.f64 r b)))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 3)) (*.f64 (/.f64 (sin.f64 a) r) b))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 3)) (*.f64 (/.f64 b r) (sin.f64 a)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (*.f64 (sin.f64 a) b) r) (*.f64 1/120 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 5)) r))))
(+.f64 (fma.f64 -1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r) (/.f64 (sin.f64 a) (/.f64 r b))) (*.f64 1/120 (/.f64 (sin.f64 a) (/.f64 r (pow.f64 b 5)))))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 3)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 5)) (*.f64 (/.f64 (sin.f64 a) r) b)))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 3)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 b 5) r) (sin.f64 a)) (*.f64 (/.f64 b r) (sin.f64 a))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (*.f64 (sin.f64 a) b) r) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 5)) r)) (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 7)) r)))))
(+.f64 (fma.f64 -1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r) (/.f64 (sin.f64 a) (/.f64 r b))) (fma.f64 1/120 (/.f64 (sin.f64 a) (/.f64 r (pow.f64 b 5))) (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 7)) r))))
(+.f64 (fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 3)) (*.f64 (/.f64 (sin.f64 a) r) b)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 5)) (*.f64 -1/5040 (*.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 7)))))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 3)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 b 5) r) (sin.f64 a)) (fma.f64 -1/5040 (*.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 7)) (*.f64 (/.f64 b r) (sin.f64 a)))))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 b) a) r)
(/.f64 (sin.f64 b) (/.f64 r a))
(/.f64 a (/.f64 r (sin.f64 b)))
(*.f64 (/.f64 a r) (sin.f64 b))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)) (/.f64 (*.f64 (sin.f64 b) a) r))
(fma.f64 -1/6 (/.f64 (sin.f64 b) (/.f64 r (pow.f64 a 3))) (/.f64 (sin.f64 b) (/.f64 r a)))
(fma.f64 -1/6 (/.f64 (pow.f64 a 3) (/.f64 r (sin.f64 b))) (/.f64 a (/.f64 r (sin.f64 b))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 a 3) r) (sin.f64 b)) (*.f64 (/.f64 a r) (sin.f64 b)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 5)) r)) (/.f64 (*.f64 (sin.f64 b) a) r)))
(fma.f64 -1/6 (/.f64 (sin.f64 b) (/.f64 r (pow.f64 a 3))) (fma.f64 1/120 (/.f64 (sin.f64 b) (/.f64 r (pow.f64 a 5))) (/.f64 (sin.f64 b) (/.f64 r a))))
(fma.f64 -1/6 (/.f64 (pow.f64 a 3) (/.f64 r (sin.f64 b))) (fma.f64 1/120 (/.f64 (sin.f64 b) (/.f64 r (pow.f64 a 5))) (/.f64 a (/.f64 r (sin.f64 b)))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 a 3) r) (sin.f64 b)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 a 5) r) (sin.f64 b)) (*.f64 (/.f64 a r) (sin.f64 b))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 7)) r)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 5)) r)) (/.f64 (*.f64 (sin.f64 b) a) r))))
(fma.f64 -1/5040 (/.f64 (sin.f64 b) (/.f64 r (pow.f64 a 7))) (fma.f64 -1/6 (/.f64 (sin.f64 b) (/.f64 r (pow.f64 a 3))) (fma.f64 1/120 (/.f64 (sin.f64 b) (/.f64 r (pow.f64 a 5))) (/.f64 (sin.f64 b) (/.f64 r a)))))
(fma.f64 -1/5040 (/.f64 (pow.f64 a 7) (/.f64 r (sin.f64 b))) (fma.f64 -1/6 (/.f64 (pow.f64 a 3) (/.f64 r (sin.f64 b))) (fma.f64 1/120 (/.f64 (sin.f64 b) (/.f64 r (pow.f64 a 5))) (/.f64 a (/.f64 r (sin.f64 b))))))
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 a 7) r) (sin.f64 b)) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 a 3) r) (sin.f64 b)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 a 5) r) (sin.f64 b)) (*.f64 (/.f64 a r) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)
(*.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.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 (/.f64 r (cos.f64 a)) b) (/.f64 (*.f64 (sin.f64 a) (*.f64 b (*.f64 b r))) (pow.f64 (cos.f64 a) 2)))
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) 2)) (sin.f64 a)) (*.f64 b b)))
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(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.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 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.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 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.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 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.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 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.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 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 -1 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 -1 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 -1 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 -1 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b))
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1/2 (/.f64 (cos.f64 a) (/.f64 r (*.f64 b b)))))
(fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 b b)) (/.f64 (cos.f64 a) r))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 4)) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (/.f64 (cos.f64 a) r) (fma.f64 1/24 (/.f64 (cos.f64 a) (/.f64 r (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (cos.f64 a) (/.f64 r (*.f64 b b))))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 b b)) (/.f64 (cos.f64 a) r)) (*.f64 1/24 (*.f64 (/.f64 (cos.f64 a) r) (pow.f64 b 4))))
(fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 b b)) (fma.f64 1/24 (*.f64 (/.f64 (cos.f64 a) r) (pow.f64 b 4)) (/.f64 (cos.f64 a) r)))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 6)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 4)) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(fma.f64 -1/720 (/.f64 (cos.f64 a) (/.f64 r (pow.f64 b 6))) (+.f64 (/.f64 (cos.f64 a) r) (fma.f64 1/24 (/.f64 (cos.f64 a) (/.f64 r (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (cos.f64 a) (/.f64 r (*.f64 b b)))))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 b b)) (*.f64 1/24 (*.f64 (/.f64 (cos.f64 a) r) (pow.f64 b 4)))) (fma.f64 -1/720 (*.f64 (/.f64 (cos.f64 a) r) (pow.f64 b 6)) (/.f64 (cos.f64 a) r)))
(fma.f64 -1/720 (*.f64 (/.f64 (pow.f64 b 6) r) (cos.f64 a)) (fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 b b)) (fma.f64 1/24 (*.f64 (/.f64 (cos.f64 a) r) (pow.f64 b 4)) (/.f64 (cos.f64 a) r))))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)))
(+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 b) (*.f64 a a)) r)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) r) (cos.f64 b)) (/.f64 (cos.f64 b) r))
(fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) r) (*.f64 a a)) (/.f64 (cos.f64 b) r))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 4) (cos.f64 b)) r)) (+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r))))
(fma.f64 1/24 (/.f64 (pow.f64 a 4) (/.f64 r (cos.f64 b))) (+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 b) (*.f64 a a)) r))))
(fma.f64 1/24 (*.f64 (/.f64 (pow.f64 a 4) r) (cos.f64 b)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) r) (cos.f64 b)) (/.f64 (cos.f64 b) r)))
(fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) r) (*.f64 a a)) (fma.f64 1/24 (*.f64 (/.f64 (cos.f64 b) r) (pow.f64 a 4)) (/.f64 (cos.f64 b) r)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 4) (cos.f64 b)) r)) (+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a 6) (cos.f64 b)) r)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)))))
(fma.f64 1/24 (/.f64 (pow.f64 a 4) (/.f64 r (cos.f64 b))) (+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/720 (/.f64 (*.f64 (cos.f64 b) (pow.f64 a 6)) r) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 b) (*.f64 a a)) r)))))
(+.f64 (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 a 4) r) (cos.f64 b)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) r) (cos.f64 b)) (/.f64 (cos.f64 b) r))) (/.f64 (*.f64 -1/720 (*.f64 (cos.f64 b) (pow.f64 a 6))) r))
(fma.f64 1/24 (*.f64 (/.f64 (cos.f64 b) r) (pow.f64 a 4)) (fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) r) (*.f64 a a)) (fma.f64 -1/720 (*.f64 (/.f64 (cos.f64 b) r) (pow.f64 a 6)) (/.f64 (cos.f64 b) r))))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r)
(*.f64 (/.f64 (cos.f64 a) r) (cos.f64 b))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 b (cos.f64 a)) r)
0.1b
(/.f64 b (cos.f64 a))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series12.0ms (0.1%)

Counts
2 → 40
Calls

15 calls:

TimeVariablePointExpression
3.0ms
a
@0
(/.f64 b (cos.f64 a))
1.0ms
a
@inf
(/.f64 b (cos.f64 a))
1.0ms
a
@-inf
(/.f64 b (cos.f64 a))
1.0ms
b
@0
(/.f64 b (cos.f64 a))
1.0ms
b
@-inf
(/.f64 b (cos.f64 a))

rewrite92.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
777×pow1_binary64
715×add-log-exp_binary64
715×log1p-expm1-u_binary64
715×expm1-log1p-u_binary64
698×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114415
2189915
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) (pow.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) 2) (cbrt.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (cos.f64 a))) (sqrt.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 b (cbrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 a))) (/.f64 b (sqrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (cos.f64 a))) (/.f64 (cbrt.f64 b) (sqrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (cos.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (cos.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 a) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (cos.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (cos.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (cos.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 b (cos.f64 a)) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 a) (*.f64 b r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b r) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b r)) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b r) 1) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b r) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b r) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) r) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (neg.f64 b)) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 b (cos.f64 a)) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (/.f64 b (cos.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))))))

simplify67.0ms (0.4%)

Algorithm
egg-herbie
Rules
666×distribute-rgt-in_binary64
630×distribute-lft-in_binary64
544×fma-def_binary64
525×distribute-lft-neg-in_binary64
523×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059513
1208475
2826452
34100442
Stop Event
node limit
Counts
94 → 70
Calls
Call 1
Inputs
b
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) b)) b)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/24 b) (*.f64 -1/4 b)))) b))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/24 b) (*.f64 -1/4 b)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/48 b) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 b) (*.f64 -1/4 b))) (*.f64 -1/720 b))))) b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b r)
(+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/48 (*.f64 r b)) (+.f64 (*.f64 -1/720 (*.f64 b r)) (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r)))))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
Outputs
b
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) b)) b)
(fma.f64 1/2 (*.f64 b (*.f64 a a)) b)
(*.f64 b (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/24 b) (*.f64 -1/4 b)))) b))
(fma.f64 1/2 (*.f64 b (*.f64 a a)) (fma.f64 -1 (*.f64 (pow.f64 a 4) (*.f64 b -5/24)) b))
(fma.f64 1/2 (*.f64 b (*.f64 a a)) (-.f64 b (*.f64 (pow.f64 a 4) (*.f64 b -5/24))))
(fma.f64 b (*.f64 1/2 (*.f64 a a)) (fma.f64 (pow.f64 a 4) (*.f64 b 5/24) b))
(*.f64 b (-.f64 (fma.f64 1/2 (*.f64 a a) 1) (*.f64 (pow.f64 a 4) -5/24)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/24 b) (*.f64 -1/4 b)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/48 b) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 b) (*.f64 -1/4 b))) (*.f64 -1/720 b))))) b)))
(fma.f64 1/2 (*.f64 b (*.f64 a a)) (fma.f64 -1 (*.f64 (pow.f64 a 4) (*.f64 b -5/24)) (fma.f64 -1 (*.f64 (pow.f64 a 6) (fma.f64 1/48 b (fma.f64 1/2 (*.f64 b -5/24) (*.f64 b -1/720)))) b)))
(fma.f64 1/2 (*.f64 b (*.f64 a a)) (-.f64 (-.f64 b (*.f64 (pow.f64 a 6) (fma.f64 b 1/48 (fma.f64 b -1/720 (*.f64 b -5/48))))) (*.f64 (pow.f64 a 4) (*.f64 b -5/24))))
(-.f64 (fma.f64 b (*.f64 1/2 (*.f64 a a)) (fma.f64 (pow.f64 a 4) (*.f64 b 5/24) b)) (*.f64 (pow.f64 a 6) (fma.f64 b 1/48 (*.f64 b -19/180))))
(-.f64 (*.f64 b (-.f64 (fma.f64 1/2 (*.f64 a a) 1) (*.f64 (pow.f64 a 4) -5/24))) (*.f64 (pow.f64 a 6) (fma.f64 b 1/48 (*.f64 b -19/180))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 b r)
(+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))
(fma.f64 b r (*.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b r))))
(*.f64 (+.f64 (*.f64 1/2 (*.f64 a a)) 1) (*.f64 b r))
(*.f64 (*.f64 b (fma.f64 1/2 (*.f64 a a) 1)) r)
(*.f64 b (*.f64 (fma.f64 1/2 (*.f64 a a) 1) r))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r)))))
(fma.f64 -1 (*.f64 (pow.f64 a 4) (fma.f64 -1/4 (*.f64 b r) (*.f64 1/24 (*.f64 b r)))) (fma.f64 b r (*.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b r)))))
(-.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 a a)) 1) (*.f64 b r)) (*.f64 (pow.f64 a 4) (*.f64 (*.f64 b r) -5/24)))
(fma.f64 (fma.f64 1/2 (*.f64 a a) 1) (*.f64 b r) (*.f64 (pow.f64 a 4) (*.f64 (*.f64 b r) 5/24)))
(*.f64 (*.f64 b r) (-.f64 (fma.f64 1/2 (*.f64 a a) 1) (*.f64 (pow.f64 a 4) -5/24)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/48 (*.f64 r b)) (+.f64 (*.f64 -1/720 (*.f64 b r)) (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r)))))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))))
(fma.f64 -1 (*.f64 (pow.f64 a 4) (fma.f64 -1/4 (*.f64 b r) (*.f64 1/24 (*.f64 b r)))) (fma.f64 -1 (*.f64 (pow.f64 a 6) (fma.f64 1/48 (*.f64 b r) (fma.f64 -1/720 (*.f64 b r) (*.f64 1/2 (fma.f64 -1/4 (*.f64 b r) (*.f64 1/24 (*.f64 b r))))))) (fma.f64 b r (*.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b r))))))
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 a a)) 1) (*.f64 b r)) (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/2 (*.f64 (*.f64 b r) -5/24)) (*.f64 (*.f64 b r) 7/360)))) (*.f64 (pow.f64 a 4) (*.f64 (*.f64 b r) -5/24)))
(fma.f64 (fma.f64 1/2 (*.f64 a a) 1) (*.f64 b r) (fma.f64 (pow.f64 a 4) (*.f64 (*.f64 b r) 5/24) (*.f64 (pow.f64 a 6) (neg.f64 (fma.f64 b (*.f64 1/48 r) (*.f64 (*.f64 b r) -19/180))))))
(-.f64 (*.f64 (*.f64 b r) (-.f64 (fma.f64 1/2 (*.f64 a a) 1) (*.f64 (pow.f64 a 4) -5/24))) (*.f64 (pow.f64 a 6) (fma.f64 (*.f64 b r) 7/360 (*.f64 b (*.f64 r -5/48)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 b)
0.1b
(/.f64 1 (cos.f64 b))
0.1b
(*.f64 r (*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
0.2b
(*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b))
Compiler

Compiled 30 to 15 computations (50% saved)

series8.0ms (0%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
b
@inf
(*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b))
1.0ms
b
@-inf
(*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b))
1.0ms
b
@-inf
(/.f64 1 (cos.f64 b))
1.0ms
b
@0
(*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b))
1.0ms
b
@inf
(/.f64 1 (cos.f64 b))

rewrite152.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
846×pow1_binary64
776×add-log-exp_binary64
776×log1p-expm1-u_binary64
776×expm1-log1p-u_binary64
758×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
117815
2215315
Stop Event
node limit
Counts
3 → 60
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b))
(*.f64 r (*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
(/.f64 1 (cos.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 b) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (cos.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 (cos.f64 b) (cbrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 b) (sqrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) 1) (cos.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sin.f64 b)) (neg.f64 (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) -1) (neg.f64 (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 3) (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 1 (cos.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 b)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 b) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 b) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 b) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 b) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 b) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (tan.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 b) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 b) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (tan.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 b) r)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cos.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cos.f64 b))) (cbrt.f64 (pow.f64 (cos.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)) (cbrt.f64 (/.f64 1 (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 b) -1/2) (pow.f64 (cos.f64 b) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 b)) -1) (pow.f64 (sqrt.f64 (cos.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 b) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 b))))))))

simplify92.0ms (0.5%)

Algorithm
egg-herbie
Rules
646×unsub-neg_binary64
504×associate-+l+_binary64
395×associate-+r+_binary64
337×distribute-rgt-in_binary64
324×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073519
1187491
2519456
32100452
46379452
Stop Event
node limit
Counts
100 → 83
Calls
Call 1
Inputs
b
(+.f64 (*.f64 1/3 (pow.f64 b 3)) b)
(+.f64 (*.f64 2/15 (pow.f64 b 5)) (+.f64 (*.f64 1/3 (pow.f64 b 3)) b))
(+.f64 (*.f64 2/15 (pow.f64 b 5)) (+.f64 (*.f64 1/3 (pow.f64 b 3)) (+.f64 b (*.f64 17/315 (pow.f64 b 7)))))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r b)
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (*.f64 r b))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r))))))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 r) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (+.f64 (*.f64 -1/720 r) (*.f64 1/24 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
1
(+.f64 1 (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (*.f64 5/24 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 2))))
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 b 6)) (+.f64 (*.f64 5/24 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 2)))))
Outputs
b
(+.f64 (*.f64 1/3 (pow.f64 b 3)) b)
(fma.f64 1/3 (pow.f64 b 3) b)
(+.f64 (*.f64 2/15 (pow.f64 b 5)) (+.f64 (*.f64 1/3 (pow.f64 b 3)) b))
(fma.f64 2/15 (pow.f64 b 5) (fma.f64 1/3 (pow.f64 b 3) b))
(fma.f64 1/3 (pow.f64 b 3) (fma.f64 2/15 (pow.f64 b 5) b))
(+.f64 (*.f64 2/15 (pow.f64 b 5)) (+.f64 (*.f64 1/3 (pow.f64 b 3)) (+.f64 b (*.f64 17/315 (pow.f64 b 7)))))
(fma.f64 2/15 (pow.f64 b 5) (+.f64 (fma.f64 1/3 (pow.f64 b 3) b) (*.f64 17/315 (pow.f64 b 7))))
(fma.f64 2/15 (pow.f64 b 5) (fma.f64 1/3 (pow.f64 b 3) (fma.f64 17/315 (pow.f64 b 7) b)))
(fma.f64 1/3 (pow.f64 b 3) (fma.f64 2/15 (pow.f64 b 5) (fma.f64 17/315 (pow.f64 b 7) b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.f64 b))
(/.f64 (sin.f64 b) (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r b)
(*.f64 b r)
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (*.f64 r b))
(fma.f64 (*.f64 r 1/3) (pow.f64 b 3) (*.f64 b r))
(fma.f64 (pow.f64 b 3) (*.f64 1/3 r) (*.f64 b r))
(*.f64 r (fma.f64 1/3 (pow.f64 b 3) b))
(*.f64 (fma.f64 1/3 (pow.f64 b 3) b) r)
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r))))))))
(fma.f64 (*.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (*.f64 (pow.f64 b 5) (-.f64 (*.f64 r 1/120) (fma.f64 1/24 r (*.f64 -1/2 (*.f64 r 1/3)))))))
(fma.f64 (pow.f64 b 3) (*.f64 1/3 r) (fma.f64 (pow.f64 b 5) (-.f64 (*.f64 r -1/30) (*.f64 r -1/6)) (*.f64 b r)))
(fma.f64 (pow.f64 b 5) (*.f64 r 2/15) (*.f64 r (fma.f64 1/3 (pow.f64 b 3) b)))
(fma.f64 (pow.f64 b 5) (*.f64 2/15 r) (*.f64 (fma.f64 1/3 (pow.f64 b 3) b) r))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 r) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (+.f64 (*.f64 -1/720 r) (*.f64 1/24 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))))))
(fma.f64 (*.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (*.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (*.f64 r 1/120) (fma.f64 1/24 r (*.f64 -1/2 (*.f64 r 1/3)))) (fma.f64 -1/720 r (*.f64 (*.f64 r 1/3) 1/24)))) (pow.f64 b 7) (fma.f64 r b (*.f64 (pow.f64 b 5) (-.f64 (*.f64 r 1/120) (fma.f64 1/24 r (*.f64 -1/2 (*.f64 r 1/3))))))))
(fma.f64 (pow.f64 b 3) (*.f64 1/3 r) (fma.f64 (pow.f64 b 7) (-.f64 (*.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (*.f64 r -1/30) (*.f64 r -1/6)) (fma.f64 r -1/720 (*.f64 r 1/72)))) (fma.f64 (pow.f64 b 5) (-.f64 (*.f64 r -1/30) (*.f64 r -1/6)) (*.f64 b r))))
(fma.f64 (pow.f64 b 7) (-.f64 (*.f64 r -1/5040) (fma.f64 -1/2 (*.f64 r 2/15) (*.f64 r 1/80))) (fma.f64 (pow.f64 b 5) (*.f64 r 2/15) (*.f64 r (fma.f64 1/3 (pow.f64 b 3) b))))
(fma.f64 (pow.f64 b 7) (+.f64 (*.f64 (*.f64 2/15 r) 1/2) (*.f64 r -4/315)) (fma.f64 (pow.f64 b 5) (*.f64 2/15 r) (*.f64 (fma.f64 1/3 (pow.f64 b 3) b) 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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.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 (sin.f64 b) (/.f64 r (cos.f64 b)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) 1)
(fma.f64 b (*.f64 b 1/2) 1)
(+.f64 1 (+.f64 (*.f64 5/24 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 2))))
(+.f64 1 (fma.f64 5/24 (pow.f64 b 4) (*.f64 1/2 (*.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) 1) (*.f64 5/24 (pow.f64 b 4)))
(fma.f64 b (*.f64 b 1/2) (fma.f64 5/24 (pow.f64 b 4) 1))
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 b 6)) (+.f64 (*.f64 5/24 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 b 6) (fma.f64 5/24 (pow.f64 b 4) (*.f64 1/2 (*.f64 b b)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 b 6) (fma.f64 1/2 (*.f64 b b) (*.f64 5/24 (pow.f64 b 4)))))
(fma.f64 61/720 (pow.f64 b 6) (fma.f64 b (*.f64 b 1/2) (fma.f64 5/24 (pow.f64 b 4) 1)))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b))
0.1b
(*.f64 (cos.f64 b) (cos.f64 a))
0.1b
(*.f64 (sin.f64 a) b)
4.2b
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
Compiler

Compiled 48 to 11 computations (77.1% saved)

series15.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
3.0ms
a
@0
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
2.0ms
b
@inf
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
2.0ms
b
@-inf
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
1.0ms
r
@0
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
1.0ms
a
@inf
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))

rewrite226.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
775×log-prod_binary64
524×fma-def_binary64
279×fma-neg_binary64
259×expm1-udef_binary64
259×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
127238
2399738
Stop Event
node limit
Counts
2 → 229
Calls
Call 1
Inputs
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b))
Outputs
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(*.f64 (neg.f64 (sin.f64 a)) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))))

simplify142.0ms (0.8%)

Algorithm
egg-herbie
Rules
786×associate-*l*_binary64
779×fma-def_binary64
594×associate-/r*_binary64
407×associate-*l/_binary64
363×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01491751
15241699
219851642
Stop Event
node limit
Counts
289 → 276
Calls
Call 1
Inputs
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (sin.f64 a)) (cos.f64 a)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3))))))
(*.f64 -1 (/.f64 r (sin.f64 a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r)) (*.f64 (pow.f64 (sin.f64 a) 2) b))) (*.f64 -1 (/.f64 r (sin.f64 a))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r)) (*.f64 (pow.f64 (sin.f64 a) 2) b))) (+.f64 (*.f64 -1 (/.f64 r (sin.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 3) (*.f64 (pow.f64 (cos.f64 b) 3) r)) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r)) (*.f64 (pow.f64 (sin.f64 a) 2) b))) (+.f64 (*.f64 -1 (/.f64 r (sin.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 2)))))))
(*.f64 -1 (/.f64 r (sin.f64 a)))
(+.f64 (*.f64 -1 (/.f64 r (sin.f64 a))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 r (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 a) 2) b))))
(+.f64 (*.f64 -1 (/.f64 r (sin.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 r (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 a) 2) b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 2))))))
(+.f64 (*.f64 -1 (/.f64 r (sin.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 r (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 a) 2) b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 3) (*.f64 r (pow.f64 (cos.f64 b) 3))) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 2)))))))
(/.f64 (*.f64 r b) (cos.f64 b))
(+.f64 (/.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 b r) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 b r) (cos.f64 b)))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 b r) (cos.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 b r) (cos.f64 b)))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 b 2) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 b (+.f64 (*.f64 -1 (/.f64 (*.f64 r (pow.f64 b 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 r b) (cos.f64 b))))) (cos.f64 b)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) r) (pow.f64 (cos.f64 b) 2))))))) (/.f64 (*.f64 b r) (cos.f64 b)))))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(*.f64 -1 (*.f64 (sin.f64 a) b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 b)
(+.f64 (cos.f64 b) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (cos.f64 b) (*.f64 -1 (*.f64 a b))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (cos.f64 b) (*.f64 -1 (*.f64 a b)))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
Outputs
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 r (*.f64 b b))))
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) 2)) (sin.f64 a)) (*.f64 b b)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (neg.f64 (*.f64 (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)))))
(+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 r (*.f64 b b))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (pow.f64 b 3))))
(fma.f64 (*.f64 (/.f64 r (cos.f64 a)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)))) (neg.f64 (pow.f64 b 3)) (fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) 2)) (sin.f64 a)) (*.f64 b b))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (sin.f64 a)) (cos.f64 a)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (*.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))) (/.f64 (cos.f64 a) (sin.f64 a))) (*.f64 -1/2 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)))) (pow.f64 b 4)) (*.f64 (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3))))))
(+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 r (*.f64 b b))) (fma.f64 -1 (fma.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) (*.f64 (/.f64 (-.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (cos.f64 a)) (sin.f64 a))) (pow.f64 b 4) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (pow.f64 b 3))) (*.f64 (/.f64 r (cos.f64 a)) b)))
(-.f64 (fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) 2)) (sin.f64 a)) (*.f64 b b))) (fma.f64 (fma.f64 -1/2 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) 2)) (sin.f64 a)) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (*.f64 (/.f64 r (cos.f64 a)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)))))) (pow.f64 b 4) (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 3))))
(*.f64 -1 (/.f64 r (sin.f64 a)))
(neg.f64 (/.f64 r (sin.f64 a)))
(/.f64 (neg.f64 r) (sin.f64 a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r)) (*.f64 (pow.f64 (sin.f64 a) 2) b))) (*.f64 -1 (/.f64 r (sin.f64 a))))
(*.f64 -1 (+.f64 (/.f64 r (sin.f64 a)) (*.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 (*.f64 r (cos.f64 b)) b))))
(neg.f64 (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 r (/.f64 b (cos.f64 b))) (/.f64 r (sin.f64 a))))
(neg.f64 (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (*.f64 (/.f64 r b) (cos.f64 b)) (/.f64 r (sin.f64 a))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r)) (*.f64 (pow.f64 (sin.f64 a) 2) b))) (+.f64 (*.f64 -1 (/.f64 r (sin.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 2))))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 (*.f64 r (cos.f64 b)) b)) (*.f64 -1 (+.f64 (/.f64 r (sin.f64 a)) (*.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (/.f64 (*.f64 r (pow.f64 (cos.f64 b) 2)) (*.f64 b b))))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 r (/.f64 b (cos.f64 b))) (/.f64 r (sin.f64 a)))) (*.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (/.f64 r (/.f64 (*.f64 b b) (pow.f64 (cos.f64 b) 2)))))
(neg.f64 (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (*.f64 (/.f64 r b) (cos.f64 b)) (fma.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (*.f64 (/.f64 r b) (/.f64 (pow.f64 (cos.f64 b) 2) b)) (/.f64 r (sin.f64 a)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 3) (*.f64 (pow.f64 (cos.f64 b) 3) r)) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r)) (*.f64 (pow.f64 (sin.f64 a) 2) b))) (+.f64 (*.f64 -1 (/.f64 r (sin.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 2)))))))
(fma.f64 -1 (/.f64 (pow.f64 (cos.f64 a) 3) (/.f64 (*.f64 (pow.f64 b 3) (pow.f64 (sin.f64 a) 4)) (*.f64 r (pow.f64 (cos.f64 b) 3)))) (fma.f64 -1 (*.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 (*.f64 r (cos.f64 b)) b)) (*.f64 -1 (+.f64 (/.f64 r (sin.f64 a)) (*.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (/.f64 (*.f64 r (pow.f64 (cos.f64 b) 2)) (*.f64 b b)))))))
(*.f64 -1 (+.f64 (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 r (/.f64 b (cos.f64 b))) (/.f64 r (sin.f64 a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (sin.f64 a) 4)) (/.f64 r (/.f64 (pow.f64 b 3) (pow.f64 (cos.f64 b) 3))) (*.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (/.f64 r (/.f64 (*.f64 b b) (pow.f64 (cos.f64 b) 2)))))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (*.f64 (/.f64 r b) (/.f64 (pow.f64 (cos.f64 b) 2) b)) (*.f64 (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (sin.f64 a) 4)) (*.f64 (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 b 3)) r)))) (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (*.f64 (/.f64 r b) (cos.f64 b)) (/.f64 r (sin.f64 a))))
(*.f64 -1 (/.f64 r (sin.f64 a)))
(neg.f64 (/.f64 r (sin.f64 a)))
(/.f64 (neg.f64 r) (sin.f64 a))
(+.f64 (*.f64 -1 (/.f64 r (sin.f64 a))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 r (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 a) 2) b))))
(*.f64 -1 (+.f64 (/.f64 r (sin.f64 a)) (*.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 (*.f64 r (cos.f64 b)) b))))
(neg.f64 (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 r (/.f64 b (cos.f64 b))) (/.f64 r (sin.f64 a))))
(neg.f64 (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (*.f64 (/.f64 r b) (cos.f64 b)) (/.f64 r (sin.f64 a))))
(+.f64 (*.f64 -1 (/.f64 r (sin.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 r (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 a) 2) b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 2))))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 (*.f64 r (cos.f64 b)) b)) (*.f64 -1 (+.f64 (/.f64 r (sin.f64 a)) (*.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (/.f64 (*.f64 r (pow.f64 (cos.f64 b) 2)) (*.f64 b b))))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 r (/.f64 b (cos.f64 b))) (/.f64 r (sin.f64 a)))) (*.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (/.f64 r (/.f64 (*.f64 b b) (pow.f64 (cos.f64 b) 2)))))
(neg.f64 (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (*.f64 (/.f64 r b) (cos.f64 b)) (fma.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (*.f64 (/.f64 r b) (/.f64 (pow.f64 (cos.f64 b) 2) b)) (/.f64 r (sin.f64 a)))))
(+.f64 (*.f64 -1 (/.f64 r (sin.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (*.f64 r (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 a) 2) b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 3) (*.f64 r (pow.f64 (cos.f64 b) 3))) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 b) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 2)))))))
(fma.f64 -1 (/.f64 (pow.f64 (cos.f64 a) 3) (/.f64 (*.f64 (pow.f64 b 3) (pow.f64 (sin.f64 a) 4)) (*.f64 r (pow.f64 (cos.f64 b) 3)))) (fma.f64 -1 (*.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 (*.f64 r (cos.f64 b)) b)) (*.f64 -1 (+.f64 (/.f64 r (sin.f64 a)) (*.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (/.f64 (*.f64 r (pow.f64 (cos.f64 b) 2)) (*.f64 b b)))))))
(*.f64 -1 (+.f64 (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (/.f64 r (/.f64 b (cos.f64 b))) (/.f64 r (sin.f64 a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (sin.f64 a) 4)) (/.f64 r (/.f64 (pow.f64 b 3) (pow.f64 (cos.f64 b) 3))) (*.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (/.f64 r (/.f64 (*.f64 b b) (pow.f64 (cos.f64 b) 2)))))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 a) 3)) (*.f64 (/.f64 r b) (/.f64 (pow.f64 (cos.f64 b) 2) b)) (*.f64 (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (sin.f64 a) 4)) (*.f64 (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 b 3)) r)))) (fma.f64 (/.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (*.f64 (/.f64 r b) (cos.f64 b)) (/.f64 r (sin.f64 a))))
(/.f64 (*.f64 r b) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) b)
(+.f64 (/.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 b r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 r b) (cos.f64 b)) (/.f64 a (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r (*.f64 b b)))))
(+.f64 (/.f64 (*.f64 r b) (cos.f64 b)) (*.f64 (/.f64 a (pow.f64 (cos.f64 b) 2)) (*.f64 r (*.f64 b b))))
(fma.f64 (/.f64 r (cos.f64 b)) b (/.f64 (*.f64 r (*.f64 b b)) (/.f64 (pow.f64 (cos.f64 b) 2) a)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 b r) (cos.f64 b)))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 b r) (cos.f64 b))))
(fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1 (/.f64 (*.f64 r (pow.f64 b 3)) (pow.f64 (cos.f64 b) 3)) (*.f64 -1/2 (/.f64 (*.f64 r b) (cos.f64 b))))) (+.f64 (/.f64 (*.f64 r b) (cos.f64 b)) (/.f64 a (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r (*.f64 b b))))))
(-.f64 (+.f64 (/.f64 (*.f64 r b) (cos.f64 b)) (*.f64 (/.f64 a (pow.f64 (cos.f64 b) 2)) (*.f64 r (*.f64 b b)))) (*.f64 a (*.f64 a (-.f64 (*.f64 -1/2 (/.f64 (*.f64 r b) (cos.f64 b))) (/.f64 (*.f64 r (pow.f64 b 3)) (pow.f64 (cos.f64 b) 3))))))
(fma.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 b)) (*.f64 b -1/2)) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 3)) (pow.f64 b 3))) (*.f64 a (neg.f64 a)) (fma.f64 (/.f64 r (cos.f64 b)) b (/.f64 (*.f64 r (*.f64 b b)) (/.f64 (pow.f64 (cos.f64 b) 2) a))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 b r) (cos.f64 b)))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 b 2) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 b (+.f64 (*.f64 -1 (/.f64 (*.f64 r (pow.f64 b 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 r b) (cos.f64 b))))) (cos.f64 b)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) r) (pow.f64 (cos.f64 b) 2))))))) (/.f64 (*.f64 b r) (cos.f64 b)))))
(fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1 (/.f64 (*.f64 r (pow.f64 b 3)) (pow.f64 (cos.f64 b) 3)) (*.f64 -1/2 (/.f64 (*.f64 r b) (cos.f64 b))))) (+.f64 (/.f64 a (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r (*.f64 b b)))) (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 (*.f64 b b) (/.f64 (pow.f64 (cos.f64 b) 2) r)) (+.f64 (/.f64 b (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (*.f64 r (pow.f64 b 3)) (pow.f64 (cos.f64 b) 3)) (*.f64 -1/2 (/.f64 (*.f64 r b) (cos.f64 b)))))) (/.f64 (*.f64 -1/2 (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 b) 2))))) (/.f64 (*.f64 r b) (cos.f64 b)))))
(+.f64 (-.f64 (/.f64 (*.f64 r b) (cos.f64 b)) (*.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 r (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 b b))) (fma.f64 -1/2 (/.f64 r (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 b b))) (*.f64 (/.f64 b (cos.f64 b)) (-.f64 (*.f64 -1/2 (/.f64 (*.f64 r b) (cos.f64 b))) (/.f64 (*.f64 r (pow.f64 b 3)) (pow.f64 (cos.f64 b) 3)))))))) (fma.f64 (neg.f64 (-.f64 (*.f64 -1/2 (/.f64 (*.f64 r b) (cos.f64 b))) (/.f64 (*.f64 r (pow.f64 b 3)) (pow.f64 (cos.f64 b) 3)))) (*.f64 a a) (*.f64 (/.f64 a (pow.f64 (cos.f64 b) 2)) (*.f64 r (*.f64 b b)))))
(-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 b)) (*.f64 b -1/2)) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 3)) (pow.f64 b 3))) (*.f64 a (neg.f64 a)) (fma.f64 (/.f64 r (cos.f64 b)) b (/.f64 (*.f64 r (*.f64 b b)) (/.f64 (pow.f64 (cos.f64 b) 2) a)))) (*.f64 (pow.f64 a 3) (fma.f64 (/.f64 b (cos.f64 b)) (-.f64 (*.f64 (/.f64 r (cos.f64 b)) (*.f64 b -1/2)) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 3)) (pow.f64 b 3))) (*.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (*.f64 b b)) -1/3))))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))) b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))) b)
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (neg.f64 (*.f64 b (sin.f64 a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b))))
(+.f64 (cos.f64 a) (fma.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b)) (*.f64 (sin.f64 a) (neg.f64 b))))
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a))))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(fma.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)) (+.f64 (cos.f64 a) (fma.f64 -1 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))))
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b)) (*.f64 (sin.f64 a) (neg.f64 b))) (fma.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)) (cos.f64 a)))
(+.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) (*.f64 (cos.f64 a) (+.f64 (*.f64 b (*.f64 b -1/2)) (*.f64 (pow.f64 b 4) 1/24))))
(*.f64 -1 (*.f64 (sin.f64 a) b))
(neg.f64 (*.f64 b (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) b))
(neg.f64 (*.f64 b (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(cos.f64 b)
(+.f64 (cos.f64 b) (*.f64 -1 (*.f64 a b)))
(+.f64 (cos.f64 b) (neg.f64 (*.f64 b a)))
(-.f64 (cos.f64 b) (*.f64 b a))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (cos.f64 b) (*.f64 -1 (*.f64 a b))))
(fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (+.f64 (cos.f64 b) (neg.f64 (*.f64 b a))))
(-.f64 (fma.f64 -1/2 (*.f64 a (*.f64 a (cos.f64 b))) (cos.f64 b)) (*.f64 b a))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 b a))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (cos.f64 b) (*.f64 -1 (*.f64 a b)))))
(fma.f64 1/6 (*.f64 b (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (+.f64 (cos.f64 b) (neg.f64 (*.f64 b a)))))
(fma.f64 1/6 (*.f64 b (pow.f64 a 3)) (-.f64 (fma.f64 -1/2 (*.f64 a (*.f64 a (cos.f64 b))) (cos.f64 b)) (*.f64 b a)))
(fma.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b) (*.f64 b (+.f64 (neg.f64 a) (*.f64 (pow.f64 a 3) 1/6))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 b)))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
0.6b
(cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
0.7b
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)
3.6b
(cos.f64 (+.f64 b a))
Compiler

Compiled 50 to 14 computations (72% saved)

series108.0ms (0.6%)

Counts
3 → 84
Calls

27 calls:

TimeVariablePointExpression
32.0ms
b
@0
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)
30.0ms
b
@0
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
10.0ms
a
@0
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)
4.0ms
a
@-inf
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)
4.0ms
a
@inf
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)

rewrite77.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
639×log-prod_binary64
613×prod-diff_binary64
230×pow1/3_binary64
229×expm1-udef_binary64
229×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
127334
2357134
Stop Event
node limit
Counts
3 → 127
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)
(cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
Outputs
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pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 1))))))

simplify165.0ms (0.9%)

Algorithm
egg-herbie
Rules
676×associate-/l*_binary64
440×associate-*r*_binary64
337×associate-*l*_binary64
286×*-commutative_binary64
258×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03425878
111714787
245674413
Stop Event
node limit
Counts
211 → 187
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 a) r))
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 a) r)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9))) (*.f64 -2/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9)))) b))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (cos.f64 a)) r) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 r) (cos.f64 a)) 1/3) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))) (pow.f64 1 1/3))) (*.f64 2/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 a) r)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9))) (*.f64 -2/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9)))) b)))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (cos.f64 a)) r) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 r) (cos.f64 a)) 1/3) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))) (pow.f64 1 1/3))) (*.f64 2/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (cos.f64 a)) r) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 r) (cos.f64 a)) 1/3) (-.f64 (*.f64 1/6 (/.f64 (sin.f64 a) r)) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 r 7))) 1/3))) (*.f64 -2/3 (*.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/9))))))) (*.f64 -2/9 (*.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 8) r)) 1/9))))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (sin.f64 a) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 r) (cos.f64 a)) 1/3) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 r 7))) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/6 (/.f64 (sin.f64 a) r)) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 r 7))) 1/3))) (*.f64 -2/3 (*.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/9))))))) (*.f64 -2/9 (*.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/9)))))) (pow.f64 b 3)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9))) (*.f64 -2/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9)))) b))))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 b) r))
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(/.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 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 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 (+.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
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 a) r))
(/.f64 (cos.f64 a) r)
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 a) r)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9))) (*.f64 -2/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9)))) b))
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 (*.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18))) -1) b))
(fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18)) (*.f64 (sin.f64 a) -1)) b (/.f64 (cos.f64 a) r))
(fma.f64 (neg.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18)))) b (/.f64 (cos.f64 a) r))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (cos.f64 a)) r) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 r) (cos.f64 a)) 1/3) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))) (pow.f64 1 1/3))) (*.f64 2/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 a) r)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9))) (*.f64 -2/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9)))) b)))
(fma.f64 (*.f64 b b) (fma.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/18))) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 r (cos.f64 a)))) (-.f64 (*.f64 (/.f64 (cos.f64 a) r) -1/2) (*.f64 (*.f64 1/3 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18)))))) (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 (/.f64 (cos.f64 a) r) -1/2) (*.f64 (*.f64 1/3 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18))))) (*.f64 (*.f64 2/9 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18))))) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (*.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18))) -1) b)))
(fma.f64 (*.f64 b b) (fma.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/18) (pow.f64 (sin.f64 a) 2))) (*.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) (*.f64 (fma.f64 (/.f64 (cos.f64 a) r) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/18)))) 2/3))) (fma.f64 1/3 (fma.f64 (/.f64 (cos.f64 a) r) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/18)))) (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/18)) 2/9)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18)) (*.f64 (sin.f64 a) -1)) b (/.f64 (cos.f64 a) r)))
(fma.f64 (*.f64 b b) (+.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/18)) 2/9)) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/18) (pow.f64 (sin.f64 a) 2))) (cbrt.f64 (/.f64 (cos.f64 a) r)))) (*.f64 (fma.f64 (/.f64 (cos.f64 a) r) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/18)) (*.f64 -1/3 (pow.f64 (sin.f64 a) 2)))) (+.f64 (*.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) (*.f64 2/3 (cbrt.f64 (/.f64 r (cos.f64 a))))) 1/3)))) (fma.f64 (neg.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18)))) b (/.f64 (cos.f64 a) r)))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (cos.f64 a)) r) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 r) (cos.f64 a)) 1/3) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))) (pow.f64 1 1/3))) (*.f64 2/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (cos.f64 a)) r) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 r) (cos.f64 a)) 1/3) (-.f64 (*.f64 1/6 (/.f64 (sin.f64 a) r)) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 r 7))) 1/3))) (*.f64 -2/3 (*.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/9))))))) (*.f64 -2/9 (*.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 8) r)) 1/9))))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (sin.f64 a) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 r) (cos.f64 a)) 1/3) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9)))))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 r 7))) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/6 (/.f64 (sin.f64 a) r)) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 r 7))) 1/3))) (*.f64 -2/3 (*.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/9))))))) (*.f64 -2/9 (*.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (*.f64 (cos.f64 a) (pow.f64 r 17))) 1/9))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/9)))))) (pow.f64 b 3)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9))) (*.f64 -2/3 (*.f64 (sin.f64 a) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 a) 4)) (pow.f64 r 13)) 1/9)))) b))))
(fma.f64 (*.f64 b b) (fma.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/18))) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 r (cos.f64 a)))) (-.f64 (*.f64 (/.f64 (cos.f64 a) r) -1/2) (*.f64 (*.f64 1/3 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18)))))) (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 (/.f64 (cos.f64 a) r) -1/2) (*.f64 (*.f64 1/3 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18))))) (*.f64 (*.f64 2/9 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18))))) (+.f64 (/.f64 (cos.f64 a) r) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) (-.f64 (/.f64 (*.f64 1/6 (sin.f64 a)) r) (fma.f64 -1/27 (*.f64 (pow.f64 (sin.f64 a) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) (pow.f64 r 7)))) (*.f64 -2/3 (*.f64 (sin.f64 a) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 a) r) -1/2) (*.f64 (*.f64 1/3 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/18)))))))) (*.f64 (*.f64 -2/9 (*.f64 (sin.f64 a) (-.f64 (*.f64 (/.f64 (cos.f64 a) r) -1/2) (*.f64 (*.f64 1/3 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18)))))) (*.f64 (pow.f64 (/.f64 1 (*.f64 r (pow.f64 (cos.f64 a) 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 r (pow.f64 (cos.f64 a) 8))) 1/18)))) (fma.f64 -1/3 (*.f64 (sin.f64 a) (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 14))) 1/18))) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 r (cos.f64 a)))) (-.f64 (*.f64 (/.f64 (cos.f64 a) r) -1/2) (*.f64 (*.f64 1/3 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18)))))) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) (pow.f64 r 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) (pow.f64 r 7)) 1/18)))) (+.f64 (*.f64 1/3 (-.f64 (/.f64 (*.f64 1/6 (sin.f64 a)) r) (fma.f64 -1/27 (*.f64 (pow.f64 (sin.f64 a) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) (pow.f64 r 7)))) (*.f64 -2/3 (*.f64 (sin.f64 a) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 a) r) -1/2) (*.f64 (*.f64 1/3 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/18)))))))) (*.f64 (*.f64 (sin.f64 a) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 a) r) -1/2) (*.f64 (*.f64 1/3 (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (cos.f64 a)) (pow.f64 r 17)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 a) 5) (pow.f64 r 4))) 1/18)))) -2/9)))) (pow.f64 b 3) (*.f64 (*.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 r 13)) 1/18))) -1) b))))
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(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))) (fma.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3))) (fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.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 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (*.f64 a a) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r))))) (*.f64 (pow.f64 a 3) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r))))))))
(+.f64 (neg.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 (fma.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) -1/3 (*.f64 (sin.f64 b) (/.f64 (fma.f64 -1/2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) r)) (cos.f64 b)))) a) (fma.f64 -1/2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) r))))) (*.f64 (/.f64 r (cos.f64 b)) (+.f64 (sin.f64 b) (/.f64 a (/.f64 (cos.f64 b) (pow.f64 (sin.f64 b) 2))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)

eval777.0ms (4.2%)

Compiler

Compiled 26295 to 9664 computations (63.2% saved)

prune1.2s (6.6%)

Pruning

74 alts after pruning (68 fresh and 6 done)

PrunedKeptTotal
New959421001
Fresh442670
Picked101
Done5611
Total1009741083
Error
0.0b
Counts
1083 → 74
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))))
25.5b
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
15.2b
(/.f64 (sin.f64 b) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a))))) 3))
43.6b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
24.0b
(*.f64 r (*.f64 (-.f64 (+.f64 1 (/.f64 1 (cos.f64 b))) 1) (sin.f64 b)))
29.4b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
1.3b
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) 3))
31.6b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
32.1b
(*.f64 b (/.f64 r (cos.f64 a)))
30.7b
(*.f64 (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (*.f64 r b))
33.4b
(*.f64 r (*.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (sin.f64 b)))
14.5b
(/.f64 (sin.f64 b) (/.f64 1 (/.f64 r (cos.f64 (+.f64 b a)))))
0.3b
(/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
31.6b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 b) (sin.f64 a)))))
33.5b
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 b) r)))
28.7b
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
0.3b
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
32.2b
(/.f64 r (/.f64 (cos.f64 a) b))
46.0b
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
55.3b
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
56.1b
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
23.9b
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
0.3b
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (*.f64 (/.f64 (sin.f64 b) 1) (/.f64 (sin.f64 a) r))))
15.2b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
38.4b
(*.f64 r (-.f64 (+.f64 1 (tan.f64 b)) 1))
29.8b
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
42.0b
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 b a)))
32.2b
(/.f64 b (/.f64 (cos.f64 a) r))
38.4b
(*.f64 r (log.f64 (exp.f64 (tan.f64 b))))
48.4b
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 a) r) 1/3) 3))
42.0b
(*.f64 r (sqrt.f64 (pow.f64 (tan.f64 b) 2)))
43.1b
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (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))))) r)) 3))
25.3b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
48.2b
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 b) r) 2))
41.7b
(*.f64 r b)
31.9b
(*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 b b)) 1) (cos.f64 a)))) r)
15.2b
(/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r)))
24.5b
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 b) r)) 3)
24.5b
(*.f64 r (pow.f64 (cbrt.f64 (tan.f64 b)) 3))
23.5b
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
32.2b
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r)
20.9b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
52.0b
(/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1))
52.6b
(pow.f64 (pow.f64 (*.f64 (tan.f64 b) r) 3) 1/3)
24.5b
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 3))
28.1b
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r))
14.6b
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
57.2b
(/.f64 (*.f64 r b) (*.f64 (sin.f64 a) (neg.f64 b)))
0.4b
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) r)
24.0b
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))))
45.5b
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 b) r) 1/3) 3))
30.6b
(/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
39.7b
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
30.0b
(*.f64 r (*.f64 b (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))))
60.2b
(/.f64 (neg.f64 r) (sin.f64 a))
23.3b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
0.3b
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
39.6b
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
24.0b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
30.6b
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
39.1b
(*.f64 r (*.f64 1 (sin.f64 b)))
30.0b
(*.f64 r (/.f64 1 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) b)))
24.0b
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
40.6b
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
50.4b
(cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))
40.4b
(-.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)
43.4b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 1) r)
14.5b
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r) (sin.f64 b))
32.0b
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
23.9b
(*.f64 r (tan.f64 b))
Compiler

Compiled 1155 to 791 computations (31.5% saved)

regimes922.0ms (5%)

Counts
175 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (*.f64 1 (sin.f64 b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (-.f64 (+.f64 1 (tan.f64 b)) 1))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r)
(-.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (*.f64 (sin.f64 a) (neg.f64 b)))
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 b a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (neg.f64 r) b))
(/.f64 (sin.f64 b) (/.f64 1 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (*.f64 b b) 1)) r)
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 a))
(*.f64 r (*.f64 (-.f64 (+.f64 1 (/.f64 1 (cos.f64 b))) 1) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 b) r)))
(*.f64 r (log.f64 (exp.f64 (tan.f64 b))))
(*.f64 r (sqrt.f64 (pow.f64 (tan.f64 b) 2)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 b) r) 2))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 b) r)) 3)
(*.f64 r (pow.f64 (cbrt.f64 (tan.f64 b)) 3))
(cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))
(pow.f64 (pow.f64 (*.f64 (tan.f64 b) r) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(*.f64 b (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)
(/.f64 (sin.f64 b) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 b) (sin.f64 a)))))
(/.f64 (*.f64 r b) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(*.f64 r (*.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (sin.f64 b)))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 3))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 2))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 3))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 a) r) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 b) r) 1/3) 3))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) r)
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) r)
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) 3)) r)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) r)
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 1) r)
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a))))) 3))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(*.f64 (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (*.f64 r b))
(*.f64 r (*.f64 b (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))))
(*.f64 r (/.f64 1 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 b b)) 1) (cos.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))))
(/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (*.f64 (/.f64 (sin.f64 b) 1) (/.f64 (sin.f64 a) r))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) 3))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) 1)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r a) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) r)
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (exp.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sqrt.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (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))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (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))))) r)) 3))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))))
Outputs
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
Calls

4 calls:

257.0ms
r
198.0ms
b
162.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
154.0ms
a
Results
ErrorSegmentsBranch
0.3b1r
0.3b1a
0.3b1b
0.3b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 2319 to 706 computations (69.6% saved)

regimes809.0ms (4.4%)

Counts
152 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (*.f64 1 (sin.f64 b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (-.f64 (+.f64 1 (tan.f64 b)) 1))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r)
(-.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (*.f64 (sin.f64 a) (neg.f64 b)))
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 b a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (neg.f64 r) b))
(/.f64 (sin.f64 b) (/.f64 1 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (*.f64 b b) 1)) r)
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 a))
(*.f64 r (*.f64 (-.f64 (+.f64 1 (/.f64 1 (cos.f64 b))) 1) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 b) r)))
(*.f64 r (log.f64 (exp.f64 (tan.f64 b))))
(*.f64 r (sqrt.f64 (pow.f64 (tan.f64 b) 2)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 b) r) 2))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 b) r)) 3)
(*.f64 r (pow.f64 (cbrt.f64 (tan.f64 b)) 3))
(cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))
(pow.f64 (pow.f64 (*.f64 (tan.f64 b) r) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(*.f64 b (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)
(/.f64 (sin.f64 b) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 b) (sin.f64 a)))))
(/.f64 (*.f64 r b) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(*.f64 r (*.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (sin.f64 b)))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 3))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 2))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 3))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 a) r) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 b) r) 1/3) 3))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) r)
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) r)
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) 3)) r)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) r)
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 1) r)
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a))))) 3))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(*.f64 (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (*.f64 r b))
(*.f64 r (*.f64 b (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))))
(*.f64 r (/.f64 1 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 b b)) 1) (cos.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))))
(/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (*.f64 (/.f64 (sin.f64 b) 1) (/.f64 (sin.f64 a) r))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

4 calls:

259.0ms
r
203.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
151.0ms
a
80.0ms
b
Results
ErrorSegmentsBranch
0.3b1r
0.3b1a
0.3b1b
0.3b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1695 to 552 computations (67.4% saved)

regimes680.0ms (3.7%)

Counts
145 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (*.f64 1 (sin.f64 b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (-.f64 (+.f64 1 (tan.f64 b)) 1))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r)
(-.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (*.f64 (sin.f64 a) (neg.f64 b)))
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 b a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (neg.f64 r) b))
(/.f64 (sin.f64 b) (/.f64 1 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (*.f64 b b) 1)) r)
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 a))
(*.f64 r (*.f64 (-.f64 (+.f64 1 (/.f64 1 (cos.f64 b))) 1) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 b) r)))
(*.f64 r (log.f64 (exp.f64 (tan.f64 b))))
(*.f64 r (sqrt.f64 (pow.f64 (tan.f64 b) 2)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 b) r) 2))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 b) r)) 3)
(*.f64 r (pow.f64 (cbrt.f64 (tan.f64 b)) 3))
(cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))
(pow.f64 (pow.f64 (*.f64 (tan.f64 b) r) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(*.f64 b (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)
(/.f64 (sin.f64 b) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 b) (sin.f64 a)))))
(/.f64 (*.f64 r b) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(*.f64 r (*.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (sin.f64 b)))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 3))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 2))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 3))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 a) r) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 b) r) 1/3) 3))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) r)
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) r)
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) 3)) r)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) r)
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 1) r)
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a))))) 3))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(*.f64 (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (*.f64 r b))
(*.f64 r (*.f64 b (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))))
(*.f64 r (/.f64 1 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 b b)) 1) (cos.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))))
(/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
Outputs
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
Calls

4 calls:

325.0ms
b
140.0ms
r
85.0ms
a
72.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
ErrorSegmentsBranch
0.3b1r
0.3b1a
0.3b1b
0.3b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1573 to 529 computations (66.4% saved)

regimes594.0ms (3.2%)

Counts
144 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (*.f64 1 (sin.f64 b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (-.f64 (+.f64 1 (tan.f64 b)) 1))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r)
(-.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (*.f64 (sin.f64 a) (neg.f64 b)))
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 b a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (neg.f64 r) b))
(/.f64 (sin.f64 b) (/.f64 1 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (*.f64 b b) 1)) r)
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 a))
(*.f64 r (*.f64 (-.f64 (+.f64 1 (/.f64 1 (cos.f64 b))) 1) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 b) r)))
(*.f64 r (log.f64 (exp.f64 (tan.f64 b))))
(*.f64 r (sqrt.f64 (pow.f64 (tan.f64 b) 2)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 b) r) 2))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 b) r)) 3)
(*.f64 r (pow.f64 (cbrt.f64 (tan.f64 b)) 3))
(cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))
(pow.f64 (pow.f64 (*.f64 (tan.f64 b) r) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(*.f64 b (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)
(/.f64 (sin.f64 b) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 b) (sin.f64 a)))))
(/.f64 (*.f64 r b) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(*.f64 r (*.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (sin.f64 b)))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 3))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 2))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 3))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 a) r) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 b) r) 1/3) 3))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) r)
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) r)
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) 3)) r)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) r)
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 1) r)
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a))))) 3))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(*.f64 (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (*.f64 r b))
(*.f64 r (*.f64 b (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))))
(*.f64 r (/.f64 1 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 b b)) 1) (cos.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))))
(/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
Outputs
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
Calls

4 calls:

184.0ms
a
169.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
118.0ms
r
74.0ms
b
Results
ErrorSegmentsBranch
0.3b1r
0.3b1a
0.3b1b
0.3b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1557 to 526 computations (66.2% saved)

regimes507.0ms (2.7%)

Counts
143 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (*.f64 1 (sin.f64 b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (-.f64 (+.f64 1 (tan.f64 b)) 1))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r)
(-.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (*.f64 (sin.f64 a) (neg.f64 b)))
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 b a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (neg.f64 r) b))
(/.f64 (sin.f64 b) (/.f64 1 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (*.f64 b b) 1)) r)
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 a))
(*.f64 r (*.f64 (-.f64 (+.f64 1 (/.f64 1 (cos.f64 b))) 1) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 b) r)))
(*.f64 r (log.f64 (exp.f64 (tan.f64 b))))
(*.f64 r (sqrt.f64 (pow.f64 (tan.f64 b) 2)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 b) r) 2))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 b) r)) 3)
(*.f64 r (pow.f64 (cbrt.f64 (tan.f64 b)) 3))
(cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))
(pow.f64 (pow.f64 (*.f64 (tan.f64 b) r) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(*.f64 b (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)
(/.f64 (sin.f64 b) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 b) (sin.f64 a)))))
(/.f64 (*.f64 r b) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(*.f64 r (*.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (sin.f64 b)))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 3))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 2))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 3))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 a) r) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 b) r) 1/3) 3))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) r)
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) r)
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) 3)) r)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) r)
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 1) r)
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a))))) 3))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(*.f64 (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (*.f64 r b))
(*.f64 r (*.f64 b (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))))
(*.f64 r (/.f64 1 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 b b)) 1) (cos.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)) (+.f64 (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 b (*.f64 b -1/2)) 1) (cos.f64 a))))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))))
(/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

4 calls:

134.0ms
b
110.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
106.0ms
r
93.0ms
a
Results
ErrorSegmentsBranch
14.5b1r
14.5b1a
14.5b1b
14.5b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1541 to 522 computations (66.1% saved)

regimes115.0ms (0.6%)

Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (*.f64 1 (sin.f64 b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (-.f64 (+.f64 1 (tan.f64 b)) 1))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r)
(-.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (*.f64 (sin.f64 a) (neg.f64 b)))
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 b a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
Outputs
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
Calls

3 calls:

37.0ms
b
36.0ms
r
25.0ms
a
Results
ErrorSegmentsBranch
14.5b1r
14.5b1a
14.5b1b
Compiler

Compiled 328 to 119 computations (63.7% saved)

regimes112.0ms (0.6%)

Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (*.f64 1 (sin.f64 b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (-.f64 (+.f64 1 (tan.f64 b)) 1))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r)
(-.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (*.f64 (sin.f64 a) (neg.f64 b)))
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 b a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Calls

3 calls:

37.0ms
a
33.0ms
b
25.0ms
r
Results
ErrorSegmentsBranch
14.5b1r
14.5b1a
14.5b1b
Compiler

Compiled 310 to 116 computations (62.6% saved)

regimes221.0ms (1.2%)

Counts
37 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (*.f64 1 (sin.f64 b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (-.f64 (+.f64 1 (tan.f64 b)) 1))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r)
(-.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (*.f64 (sin.f64 a) (neg.f64 b)))
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 b a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
Outputs
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (tan.f64 b))
Calls

3 calls:

101.0ms
r
55.0ms
b
53.0ms
a
Results
ErrorSegmentsBranch
21.1b4r
14.3b3a
14.2b3b
Compiler

Compiled 283 to 106 computations (62.5% saved)

bsearch231.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
111.0ms
4.333108240398014e-13
0.0029431691361973956
119.0ms
-48187.321793201
-0.0004917747131398201
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes401.0ms (2.2%)

Counts
30 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (*.f64 1 (sin.f64 b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (-.f64 (+.f64 1 (tan.f64 b)) 1))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r)
(-.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (*.f64 (sin.f64 a) (neg.f64 b)))
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 b a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
Outputs
(*.f64 r (tan.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (tan.f64 b))
Calls

3 calls:

165.0ms
r
126.0ms
a
97.0ms
b
Results
ErrorSegmentsBranch
21.1b4r
14.3b3a
14.2b3b
Compiler

Compiled 232 to 97 computations (58.2% saved)

bsearch228.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
113.0ms
4.333108240398014e-13
0.0029431691361973956
114.0ms
-48187.321793201
-0.0004917747131398201
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes401.0ms (2.2%)

Counts
29 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (*.f64 1 (sin.f64 b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (-.f64 (+.f64 1 (tan.f64 b)) 1))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r)
(-.f64 (+.f64 1 (*.f64 (tan.f64 b) r)) 1)
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (*.f64 (sin.f64 a) (neg.f64 b)))
(*.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3))))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 b a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
Outputs
(*.f64 r (tan.f64 b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (tan.f64 b))
Calls

3 calls:

168.0ms
r
122.0ms
b
98.0ms
a
Results
ErrorSegmentsBranch
21.1b4r
14.3b3a
14.2b3b
Compiler

Compiled 225 to 95 computations (57.8% saved)

bsearch225.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
83.0ms
4.333108240398014e-13
0.0029431691361973956
141.0ms
-48187.321793201
-0.0004917747131398201
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes57.0ms (0.3%)

Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (*.f64 1 (sin.f64 b)))
Outputs
(*.f64 r (tan.f64 b))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (tan.f64 b))
Calls

3 calls:

21.0ms
r
18.0ms
b
16.0ms
a
Results
ErrorSegmentsBranch
21.3b5r
15.8b3a
14.3b3b
Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch207.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
135.0ms
4.333108240398014e-13
0.0029431691361973956
72.0ms
-48187.321793201
-0.0004917747131398201
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.1%)

Accuracy

Total -38.5b remaining (-161.2%)

Threshold costs -38.5b (-161.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 r) (sin.f64 a))
Outputs
(*.f64 r (tan.f64 b))
Calls

3 calls:

11.0ms
r
4.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
23.9b1r
23.9b1a
23.9b1b
Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify20.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057297
181297
289297
394297
496297
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(if (<=.f64 b -1655703769469011/34359738368) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (if (<=.f64 b 2145651274138449/4951760157141521099596496896) (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -1655703769469011/34359738368) (*.f64 r (tan.f64 b)) (if (<=.f64 b 2145651274138449/4951760157141521099596496896) (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -1655703769469011/34359738368) (*.f64 r (tan.f64 b)) (if (<=.f64 b 2145651274138449/4951760157141521099596496896) (*.f64 (/.f64 b (cos.f64 a)) r) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -1655703769469011/34359738368) (*.f64 r (tan.f64 b)) (if (<=.f64 b 2145651274138449/4951760157141521099596496896) (/.f64 r (/.f64 (cos.f64 a) b)) (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(*.f64 r b)
Outputs
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.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 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(if (<=.f64 b -1655703769469011/34359738368) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (if (<=.f64 b 2145651274138449/4951760157141521099596496896) (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -1655703769469011/34359738368) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (if (<=.f64 b 2145651274138449/4951760157141521099596496896) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -1655703769469011/34359738368) (*.f64 r (tan.f64 b)) (if (<=.f64 b 2145651274138449/4951760157141521099596496896) (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -1655703769469011/34359738368) (*.f64 r (tan.f64 b)) (if (<=.f64 b 2145651274138449/4951760157141521099596496896) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -1655703769469011/34359738368) (*.f64 r (tan.f64 b)) (if (<=.f64 b 2145651274138449/4951760157141521099596496896) (*.f64 (/.f64 b (cos.f64 a)) r) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -1655703769469011/34359738368) (*.f64 r (tan.f64 b)) (if (<=.f64 b 2145651274138449/4951760157141521099596496896) (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -1655703769469011/34359738368) (*.f64 r (tan.f64 b)) (if (<=.f64 b 2145651274138449/4951760157141521099596496896) (/.f64 r (/.f64 (cos.f64 a) b)) (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(*.f64 r b)
(*.f64 b r)
Compiler

Compiled 230 to 142 computations (38.3% saved)

soundness70.0ms (0.4%)

Algorithm
egg-herbie
Rules
884×fma-def_binary64
677×associate-*l*_binary64
655×associate-*r*_binary64
356×times-frac_binary64
319×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11314
21714
32014
42114
01442035
14751988
216231928
Stop Event
node limit
saturated
Compiler

Compiled 119 to 76 computations (36.1% saved)

end149.0ms (0.8%)

Compiler

Compiled 194 to 63 computations (67.5% saved)

Profiling

Loading profile data...