Details

Time bar (total: 18.5s)

analyze560.0ms (3%)

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

Compiled 13 to 9 computations (30.8% saved)

sample3.1s (16.8%)

Results
1.8s3618×body1024valid
615.0ms3063×body256valid
454.0ms1366×body512valid
200.0ms209×body2048valid

preprocess15.0ms (0.1%)

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)

simplify6.0ms (0%)

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)

prune14.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
14.4b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
14.4b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 r (sin.f64 b))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
3.0b
(cos.f64 (+.f64 b a))
Compiler

Compiled 28 to 8 computations (71.4% saved)

series15.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

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

rewrite79.0ms (0.4%)

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
0926
120026
2293826
Stop Event
node limit
Counts
3 → 133
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))
Outputs
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simplify60.0ms (0.3%)

Algorithm
egg-herbie
Rules
768×associate-*r*_binary64
753×fma-def_binary64
723×associate-*l*_binary64
372×times-frac_binary64
327×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01411383
14561333
215331282
Stop Event
node limit
Counts
217 → 179
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)
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 (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 (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 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 (cos.f64 a) (*.f64 (*.f64 b b) -1/2))))
(+.f64 (cos.f64 a) (fma.f64 (cos.f64 a) (*.f64 b (*.f64 b -1/2)) (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3))))))
(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 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (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)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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) (*.f64 b (*.f64 b r))) (pow.f64 (cos.f64 a) 2)))
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (/.f64 r (/.f64 (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 (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) (*.f64 b (*.f64 b r))) (pow.f64 (cos.f64 a) 2)) (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 r (cos.f64 a)) b (*.f64 (/.f64 r (/.f64 (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 (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) (*.f64 b (*.f64 b r))) (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 (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) r) -1/3) (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 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (pow.f64 b 4))))
(fma.f64 (/.f64 r (cos.f64 a)) b (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r)) (fma.f64 (-.f64 (/.f64 (*.f64 r -1/3) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (*.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)))) (neg.f64 (pow.f64 b 4)) (*.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))))))
(/.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 (*.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 (*.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 (*.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 (*.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) r) (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 (*.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (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 (*.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (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 (*.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a 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 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 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r)))
(fma.f64 (/.f64 (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 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 -1/2 (*.f64 (sin.f64 b) r)) (cos.f64 b)))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r)) (*.f64 (*.f64 a a) (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (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 (-.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 -1/2 r)) (cos.f64 b)) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 3)) (pow.f64 (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 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (/.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 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 -1/2 (*.f64 (sin.f64 b) r)) (cos.f64 b)))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r)) (-.f64 (-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (*.f64 a a) (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (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 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) r) -1/3 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (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 a r) (-.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (*.f64 a a) (+.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 -1/2 r)) (cos.f64 b)) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 3)) (pow.f64 (sin.f64 b) 3))) (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) -1/3)) (pow.f64 (cos.f64 b) 2))) a) (-.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 -1/2 r)) (cos.f64 b)) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 3)) (pow.f64 (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 (*.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 (*.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 (*.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 (*.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) r) (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 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (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 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (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 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a 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 (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 (+.f64 (*.f64 (pow.f64 b 3) -1/6) b))
(*.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 (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(*.f64 r (+.f64 (*.f64 (pow.f64 b 3) -1/6) (fma.f64 1/120 (pow.f64 b 5) 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 (+.f64 b (*.f64 1/120 (pow.f64 b 5))))))
(*.f64 r (+.f64 (fma.f64 1/120 (pow.f64 b 5) b) (fma.f64 (pow.f64 b 3) -1/6 (*.f64 -1/5040 (pow.f64 b 7)))))
(*.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)

eval60.0ms (0.3%)

Compiler

Compiled 4031 to 1218 computations (69.8% saved)

prune95.0ms (0.5%)

Pruning

45 alts after pruning (45 fresh and 0 done)

PrunedKeptTotal
New13445179
Fresh000
Picked101
Done000
Total13545180
Error
0.1b
Counts
180 → 45
Alt Table
Click to see full alt table
StatusErrorProgram
14.7b
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
14.4b
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
36.2b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
0.5b
(/.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)))))
31.4b
(*.f64 (/.f64 r (cos.f64 a)) b)
15.1b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
0.5b
(/.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)))))))
31.5b
(/.f64 (*.f64 b r) (cos.f64 a))
38.4b
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
14.4b
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
30.7b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))
37.8b
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
23.2b
(/.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))))
26.5b
(+.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))))
14.4b
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
32.5b
(/.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))))))
30.2b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
43.0b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
0.8b
(/.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))))
31.0b
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
22.8b
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
28.8b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
0.4b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
22.8b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
43.9b
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
14.6b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a)))))))
0.4b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
28.5b
(/.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))))))
23.9b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
15.0b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
42.6b
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
31.1b
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
32.0b
(/.f64 (*.f64 r (fma.f64 (pow.f64 b 3) -1/6 b)) (cos.f64 (+.f64 b a)))
49.7b
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
14.7b
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
32.0b
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
23.9b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
14.4b
(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
31.3b
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
14.4b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
14.4b
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
Compiler

Compiled 1780 to 1090 computations (38.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 54 to 12 computations (77.8% saved)

series26.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
5.0ms
b
@inf
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
5.0ms
a
@0
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
4.0ms
r
@0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
2.0ms
a
@inf
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
2.0ms
b
@-inf
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

rewrite105.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
674×log-prod_binary64
333×pow2_binary64
308×prod-diff_binary64
262×pow-unpow_binary64
236×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01354
126748
2357528
Stop Event
node limit
Counts
3 → 229
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
Outputs
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(cos.f64 (+.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 b a))))) (#(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 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) 1))))))

simplify66.0ms (0.4%)

Algorithm
egg-herbie
Rules
941×fma-def_binary64
632×associate-*l*_binary64
615×associate-*r*_binary64
356×times-frac_binary64
315×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01462131
14742036
215971960
Stop Event
node limit
Counts
313 → 281
Calls
Call 1
Inputs
(/.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 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 -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)))
(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)))
(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)))
Outputs
(/.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) (fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.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) (fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.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) (fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.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) (fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.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) (fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.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) (fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
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(fma.f64 -1 (*.f64 (sin.f64 b) a) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b)))
(-.f64 (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (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)) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (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 (*.f64 1/6 (pow.f64 a 3)) a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 6 computations (66.7% saved)

series10.0ms (0.1%)

Counts
2 → 40
Calls

15 calls:

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

rewrite58.0ms (0.3%)

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 r (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
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 r (/.f64 (cos.f64 a) b))))) (#(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)))))))

simplify49.0ms (0.3%)

Algorithm
egg-herbie
Rules
649×distribute-rgt-in_binary64
603×distribute-lft-in_binary64
562×fma-def_binary64
540×distribute-lft-neg-in_binary64
537×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061512
1211470
2852448
34227437
Stop Event
node limit
Counts
94 → 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 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 r b)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (*.f64 r b))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (+.f64 (*.f64 r b) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r b)))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (+.f64 (*.f64 r b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r b)))) (+.f64 (*.f64 -1/720 (*.f64 r b)) (*.f64 1/48 (*.f64 b r)))))) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r 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 (*.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))
Outputs
r
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) r)
(fma.f64 1/2 (*.f64 r (*.f64 a a)) 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)) (fma.f64 (neg.f64 (pow.f64 a 4)) (*.f64 r -5/24) r))
(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 (fma.f64 (neg.f64 (pow.f64 a 4)) (*.f64 r -5/24) r) (*.f64 (pow.f64 a 6) (+.f64 (*.f64 r -5/48) (*.f64 r 7/360)))))
(-.f64 (fma.f64 r (*.f64 1/2 (*.f64 a a)) (fma.f64 (pow.f64 a 4) (*.f64 r 5/24) r)) (*.f64 (pow.f64 a 6) (*.f64 r -61/720)))
(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 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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (cos.f64 a)))
(*.f64 r b)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (*.f64 r b))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 r b)) (*.f64 r b))
(*.f64 (+.f64 (*.f64 1/2 (*.f64 a a)) 1) (*.f64 r b))
(*.f64 (*.f64 r (fma.f64 1/2 (*.f64 a a) 1)) b)
(*.f64 r (*.f64 (fma.f64 1/2 (*.f64 a a) 1) b))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (+.f64 (*.f64 r b) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r b)))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 r b)) (fma.f64 r b (neg.f64 (*.f64 (pow.f64 a 4) (fma.f64 -1/4 (*.f64 r b) (*.f64 1/24 (*.f64 r b)))))))
(-.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 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 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (+.f64 (*.f64 r b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r b)))) (+.f64 (*.f64 -1/720 (*.f64 r b)) (*.f64 1/48 (*.f64 b r)))))) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r b))))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 r b)) (fma.f64 r b (*.f64 -1 (+.f64 (*.f64 (pow.f64 a 6) (fma.f64 1/2 (fma.f64 -1/4 (*.f64 r b) (*.f64 1/24 (*.f64 r b))) (fma.f64 -1/720 (*.f64 r b) (*.f64 1/48 (*.f64 r b))))) (*.f64 (pow.f64 a 4) (fma.f64 -1/4 (*.f64 r b) (*.f64 1/24 (*.f64 r b))))))))
(fma.f64 1/2 (*.f64 r (*.f64 (*.f64 a a) b)) (fma.f64 r b (neg.f64 (fma.f64 (pow.f64 a 6) (fma.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))))))
(-.f64 (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 (pow.f64 a 6) (fma.f64 (*.f64 r b) 7/360 (*.f64 (*.f64 r b) -5/48))))
(-.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) (fma.f64 (*.f64 r b) 7/360 (*.f64 r (*.f64 b -5/48)))))
(/.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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (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 r (/.f64 b (cos.f64 a)))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
3.0b
(cos.f64 (+.f64 b a))
5.0b
(*.f64 (pow.f64 b 3) r)
8.1b
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
Compiler

Compiled 60 to 31 computations (48.3% saved)

series17.0ms (0.1%)

Counts
3 → 63
Calls

21 calls:

TimeVariablePointExpression
3.0ms
a
@0
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
1.0ms
a
@inf
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
1.0ms
r
@0
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
1.0ms
r
@inf
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
1.0ms
b
@inf
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))

rewrite88.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
807×log-prod_binary64
596×fma-def_binary64
296×fma-neg_binary64
289×expm1-udef_binary64
289×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01443
132141
2440937
Stop Event
node limit
Counts
3 → 124
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(*.f64 (pow.f64 b 3) r)
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/36 (*.f64 (pow.f64 b 6) (*.f64 r r))) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) (neg.f64 b)))) (/.f64 (pow.f64 (*.f64 b r) 2) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (+.f64 b (*.f64 -1/6 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (cbrt.f64 (pow.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 2)) (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/216 (pow.f64 (*.f64 (pow.f64 b 3) r) 3) (pow.f64 (*.f64 b r) 3)) (/.f64 1 (fma.f64 (*.f64 b r) (-.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 (pow.f64 b 3) r))) (*.f64 1/36 (*.f64 (pow.f64 b 6) (*.f64 r r))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/36 (*.f64 (pow.f64 b 6) (*.f64 r r))) (pow.f64 (*.f64 b r) 2)) (/.f64 1 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 b r) (-.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 (pow.f64 b 3) r))) (*.f64 1/36 (*.f64 (pow.f64 b 6) (*.f64 r r)))) (fma.f64 -1/216 (pow.f64 (*.f64 (pow.f64 b 3) r) 3) (pow.f64 (*.f64 b r) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 r (fma.f64 -1/6 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)))) (pow.f64 (exp.f64 r) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (*.f64 (pow.f64 b 3) r)) (+.f64 1 (expm1.f64 (*.f64 b r)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)))) (+.f64 1 (expm1.f64 (*.f64 b r)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b r))) (pow.f64 (exp.f64 -1/6) (*.f64 (pow.f64 b 3) r))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 r) b) (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))) 1))))))

simplify54.0ms (0.3%)

Algorithm
egg-herbie
Rules
770×associate-*r*_binary64
747×associate-*l*_binary64
500×fma-def_binary64
396×associate-/l*_binary64
346×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351558
14371484
214281394
Stop Event
node limit
Counts
187 → 157
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 -1/6 (*.f64 (pow.f64 b 3) r))
(*.f64 -1/6 (*.f64 (pow.f64 b 3) 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 -1 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r))
(*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r))
(*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r))
(*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(/.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 (+.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 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 b))) (/.f64 (*.f64 r b) (cos.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 b))) (/.f64 (*.f64 r b) (cos.f64 b)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 b))) (+.f64 (/.f64 (*.f64 r b) (cos.f64 b)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3)))))))
(/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (*.f64 -1 a))))
Outputs
(*.f64 r b)
(*.f64 -1/6 (*.f64 (pow.f64 b 3) r))
(*.f64 -1/6 (*.f64 r (pow.f64 b 3)))
(*.f64 -1/6 (*.f64 (pow.f64 b 3) r))
(*.f64 -1/6 (*.f64 r (pow.f64 b 3)))
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (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 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) (pow.f64 (cos.f64 a) 2)) (*.f64 r (*.f64 b b))))
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 r (*.f64 b b)) (/.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 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 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 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 r (*.f64 b b)) (/.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 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 (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 (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 r (*.f64 b b)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (*.f64 (-.f64 (/.f64 (*.f64 r (sin.f64 a)) (/.f64 (pow.f64 (cos.f64 a) 2) -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 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 a b))))
(*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 b a))))
(/.f64 -1/6 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (pow.f64 b 3))))
(*.f64 (/.f64 (*.f64 r -1/6) (cos.f64 (+.f64 b a))) (pow.f64 b 3))
(+.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))))
(fma.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)))
(fma.f64 -1/6 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 b 3)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 (+.f64 b a))) r) (*.f64 b (/.f64 r (cos.f64 (+.f64 b a)))))
(+.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))))
(fma.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)))
(fma.f64 -1/6 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 b 3)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 (+.f64 b a))) r) (*.f64 b (/.f64 r (cos.f64 (+.f64 b a)))))
(+.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))))
(fma.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)))
(fma.f64 -1/6 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 b 3)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 (+.f64 b a))) r) (*.f64 b (/.f64 r (cos.f64 (+.f64 b a)))))
(*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 b a))))
(/.f64 -1/6 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (pow.f64 b 3))))
(*.f64 (/.f64 (*.f64 r -1/6) (cos.f64 (+.f64 b a))) (pow.f64 b 3))
(+.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))))))
(fma.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)))
(fma.f64 -1/6 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 b 3)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 (+.f64 b a))) r) (*.f64 b (/.f64 r (cos.f64 (+.f64 b a)))))
(+.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))))))
(fma.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)))
(fma.f64 -1/6 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 b 3)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 (+.f64 b a))) r) (*.f64 b (/.f64 r (cos.f64 (+.f64 b a)))))
(+.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))))))
(fma.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)))
(fma.f64 -1/6 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 b 3)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 (+.f64 b a))) r) (*.f64 b (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.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 (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 (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 (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 (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 (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 (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 (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 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(/.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 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(/.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 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(/.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 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(/.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 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b))
(/.f64 (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b))
(/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (fma.f64 -1/6 (pow.f64 b 3) b)))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 b))) (/.f64 (*.f64 r b) (cos.f64 b))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))))) (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (/.f64 (cos.f64 b) r)) (/.f64 r (/.f64 (cos.f64 b) b))))
(+.f64 (/.f64 (*.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (*.f64 a (sin.f64 b))) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 b)) r) (*.f64 (/.f64 r (cos.f64 b)) b)))
(fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 r (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) a)) (fma.f64 (/.f64 r (cos.f64 b)) b (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 b)) (*.f64 r -1/6))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 b))) (/.f64 (*.f64 r b) (cos.f64 b)))))
(fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b)) (neg.f64 (/.f64 (*.f64 (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 3))))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))))) (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (/.f64 (cos.f64 b) r)) (/.f64 r (/.f64 (cos.f64 b) b)))))
(+.f64 (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 b)) r) (*.f64 (/.f64 r (cos.f64 b)) b)) (fma.f64 (neg.f64 (-.f64 (/.f64 -1/2 (/.f64 (cos.f64 b) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))))) (*.f64 a a) (/.f64 (*.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (*.f64 a (sin.f64 b))) (pow.f64 (cos.f64 b) 2))))
(-.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 r (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) a)) (fma.f64 (/.f64 r (cos.f64 b)) b (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 b)) (*.f64 r -1/6)))) (*.f64 a (*.f64 a (*.f64 (/.f64 r (/.f64 (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 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 b))) (+.f64 (/.f64 (*.f64 r b) (cos.f64 b)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3)))))))
(fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b)) (neg.f64 (/.f64 (*.f64 (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 3))))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))))) (+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (/.f64 (cos.f64 b) r)) (/.f64 r (/.f64 (cos.f64 b) b))) (neg.f64 (*.f64 (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 b) (fma.f64 -1/2 (/.f64 (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b)) (neg.f64 (/.f64 (*.f64 (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (fma.f64 r b (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3))))))
(+.f64 (-.f64 (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 b)) r) (*.f64 (/.f64 r (cos.f64 b)) b)) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (/.f64 -1/2 (/.f64 (cos.f64 b) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))))))) (pow.f64 a 3))) (fma.f64 (neg.f64 (-.f64 (/.f64 -1/2 (/.f64 (cos.f64 b) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))))) (*.f64 a a) (/.f64 (*.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (*.f64 a (sin.f64 b))) (pow.f64 (cos.f64 b) 2))))
(-.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 r (*.f64 (fma.f64 -1/6 (pow.f64 b 3) b) a)) (fma.f64 (/.f64 r (cos.f64 b)) b (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 b)) (*.f64 r -1/6)))) (*.f64 a (*.f64 a (*.f64 (/.f64 r (/.f64 (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 r (/.f64 (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 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))) -1/3)) (pow.f64 a 3)))
(/.f64 (+.f64 (*.f64 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.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 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.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 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.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 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.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 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (*.f64 -1 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 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (*.f64 -1 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 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (*.f64 -1 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 b r) (*.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (*.f64 -1 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)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)))
0.5b
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3))
0.5b
(pow.f64 (cos.f64 (+.f64 b a)) 3)
3.0b
(cos.f64 (+.f64 b a))
Compiler

Compiled 45 to 17 computations (62.2% saved)

series37.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
27.0ms
a
@-inf
(pow.f64 (cos.f64 (+.f64 b a)) 3)
1.0ms
b
@0
(pow.f64 (cos.f64 (+.f64 b a)) 3)
1.0ms
a
@0
(pow.f64 (cos.f64 (+.f64 b a)) 3)
1.0ms
a
@inf
(pow.f64 (cos.f64 (+.f64 b a)) 3)
1.0ms
b
@inf
(pow.f64 (cos.f64 (+.f64 b a)) 3)

rewrite87.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
625×log-prod_binary64
601×prod-diff_binary64
329×pow2_binary64
229×fma-def_binary64
227×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
126829
2342529
Stop Event
node limit
Counts
3 → 139
Calls
Call 1
Inputs
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)))
Outputs
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((#(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 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))) 2)) (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 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))))) 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(sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 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))))))

simplify312.0ms (1.7%)

Algorithm
egg-herbie
Rules
522×associate-+l+_binary64
372×times-frac_binary64
336×distribute-rgt-in_binary64
327×associate-/l*_binary64
325×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01901804
16671736
223781672
Stop Event
node limit
Counts
223 → 193
Calls
Call 1
Inputs
(pow.f64 (cos.f64 a) 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) b) (pow.f64 (cos.f64 a) 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) b) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (*.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) b) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))))) (+.f64 (*.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (cos.f64 a)) (*.f64 1/3 (*.f64 (sin.f64 a) (cos.f64 a))))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3)) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (*.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 3))))
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 b) 3)
(+.f64 (pow.f64 (cos.f64 b) 3) (*.f64 a (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))))
(+.f64 (pow.f64 (cos.f64 b) 3) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 b) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 b))) (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2)) (*.f64 a (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))))
(+.f64 (pow.f64 (cos.f64 b) 3) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 b) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 b))) (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2)) (+.f64 (*.f64 a (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)))) (+.f64 (*.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (cos.f64 b)) (*.f64 1/3 (*.f64 (sin.f64 b) (cos.f64 b))))) (+.f64 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))) (pow.f64 a 3)))))
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(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))))
Outputs
(pow.f64 (cos.f64 a) 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) b) (pow.f64 (cos.f64 a) 3))
(fma.f64 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) b (pow.f64 (cos.f64 a) 3))
(fma.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 (cos.f64 a) 2) -3)) b (pow.f64 (cos.f64 a) 3))
(fma.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (sin.f64 a) -3)) b (pow.f64 (cos.f64 a) 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) b) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (*.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 3)))
(fma.f64 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) b (fma.f64 (fma.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (fma.f64 2 (*.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (cos.f64 a) 3) -1/2))) (*.f64 b b) (pow.f64 (cos.f64 a) 3)))
(fma.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 (cos.f64 a) 2) -3)) b (fma.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 a) 3) -1/2) (*.f64 (cos.f64 a) (+.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 2 (pow.f64 (sin.f64 a) 2))))) (*.f64 b b) (pow.f64 (cos.f64 a) 3)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (sin.f64 a) -3)) b (fma.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 a) 3) -1/2) (*.f64 (cos.f64 a) (+.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 2 (pow.f64 (sin.f64 a) 2))))) (*.f64 b b) (pow.f64 (cos.f64 a) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) b) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))))) (+.f64 (*.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (cos.f64 a)) (*.f64 1/3 (*.f64 (sin.f64 a) (cos.f64 a))))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3)) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (*.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 3))))
(fma.f64 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) b (fma.f64 (fma.f64 -1 (*.f64 (sin.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2)))) (fma.f64 (cos.f64 a) (*.f64 4/3 (*.f64 (cos.f64 a) (sin.f64 a))) (*.f64 7/6 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3) (fma.f64 (fma.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (fma.f64 2 (*.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (cos.f64 a) 3) -1/2))) (*.f64 b b) (pow.f64 (cos.f64 a) 3))))
(fma.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 (cos.f64 a) 2) -3)) b (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (fma.f64 7/6 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 4/3 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3) (fma.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 a) 3) -1/2) (*.f64 (cos.f64 a) (+.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 2 (pow.f64 (sin.f64 a) 2))))) (*.f64 b b) (pow.f64 (cos.f64 a) 3))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (sin.f64 a) -3)) b (fma.f64 (+.f64 (-.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (pow.f64 (sin.f64 a) 3)) (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 5/2)) (pow.f64 b 3) (fma.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 a) 3) -1/2) (*.f64 (cos.f64 a) (+.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 2 (pow.f64 (sin.f64 a) 2))))) (*.f64 b b) (pow.f64 (cos.f64 a) 3))))
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 b) 3)
(+.f64 (pow.f64 (cos.f64 b) 3) (*.f64 a (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))))
(+.f64 (pow.f64 (cos.f64 b) 3) (*.f64 a (*.f64 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -3)))
(fma.f64 a (*.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (sin.f64 b) -3)) (pow.f64 (cos.f64 b) 3))
(fma.f64 a (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 b) 2) -3)) (pow.f64 (cos.f64 b) 3))
(+.f64 (pow.f64 (cos.f64 b) 3) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 b) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 b))) (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2)) (*.f64 a (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))))
(+.f64 (pow.f64 (cos.f64 b) 3) (fma.f64 (fma.f64 (cos.f64 b) (fma.f64 -1 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (fma.f64 2 (*.f64 (cos.f64 b) (pow.f64 (sin.f64 b) 2)) (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (*.f64 a a) (*.f64 a (*.f64 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -3))))
(+.f64 (pow.f64 (cos.f64 b) 3) (fma.f64 a (*.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (sin.f64 b) -3)) (*.f64 a (*.f64 a (+.f64 (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)) (*.f64 (cos.f64 b) (+.f64 (-.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 2 (pow.f64 (sin.f64 b) 2)))))))))
(+.f64 (pow.f64 (cos.f64 b) 3) (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)) (+.f64 (neg.f64 (pow.f64 (cos.f64 b) 3)) (*.f64 3 (*.f64 (cos.f64 b) (pow.f64 (sin.f64 b) 2))))) a) (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 b) 2) -3)))))
(+.f64 (pow.f64 (cos.f64 b) 3) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 b) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 b))) (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2)) (+.f64 (*.f64 a (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)))) (+.f64 (*.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (cos.f64 b)) (*.f64 1/3 (*.f64 (sin.f64 b) (cos.f64 b))))) (+.f64 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))) (pow.f64 a 3)))))
(+.f64 (pow.f64 (cos.f64 b) 3) (fma.f64 (fma.f64 (cos.f64 b) (fma.f64 -1 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (fma.f64 2 (*.f64 (cos.f64 b) (pow.f64 (sin.f64 b) 2)) (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (*.f64 a a) (fma.f64 a (*.f64 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -3) (*.f64 (fma.f64 -1 (*.f64 (sin.f64 b) (fma.f64 -1 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (fma.f64 (cos.f64 b) (*.f64 4/3 (*.f64 (cos.f64 b) (sin.f64 b))) (*.f64 7/6 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3)))))
(+.f64 (pow.f64 (cos.f64 b) 3) (fma.f64 (+.f64 (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)) (*.f64 (cos.f64 b) (+.f64 (-.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 2 (pow.f64 (sin.f64 b) 2))))) (*.f64 a a) (fma.f64 a (*.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (sin.f64 b) -3)) (*.f64 (-.f64 (fma.f64 7/6 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 4/3 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))) (fma.f64 (sin.f64 b) (neg.f64 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 3))) (pow.f64 a 3)))))
(+.f64 (fma.f64 a (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 b) 2) -3)) (pow.f64 (cos.f64 b) 3)) (*.f64 (*.f64 a a) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)) (+.f64 (neg.f64 (pow.f64 (cos.f64 b) 3)) (*.f64 3 (*.f64 (cos.f64 b) (pow.f64 (sin.f64 b) 2))))) (*.f64 (+.f64 (-.f64 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 3)) (*.f64 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) 5/2)) a))))
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(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 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b))))
(+.f64 (cos.f64 a) (-.f64 (*.f64 (cos.f64 a) (*.f64 (*.f64 b b) -1/2)) (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -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 (sin.f64 a) b) (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))))
(+.f64 (cos.f64 a) (-.f64 (fma.f64 (*.f64 (sin.f64 a) 1/6) (pow.f64 b 3) (*.f64 (cos.f64 a) (*.f64 (*.f64 b b) -1/2))) (*.f64 (sin.f64 a) b)))
(+.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)))
(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))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.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) (cos.f64 (+.f64 a b))) r)
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.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) (cos.f64 (+.f64 a b))) r)
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
0.1b
(*.f64 a (sin.f64 b))
0.1b
(*.f64 r (sin.f64 b))
2.6b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
Compiler

Compiled 71 to 28 computations (60.6% saved)

series20.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
4.0ms
a
@inf
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
2.0ms
r
@0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
1.0ms
b
@inf
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
1.0ms
b
@0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
1.0ms
a
@-inf
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))

rewrite82.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
825×log-prod_binary64
439×fma-def_binary64
283×log1p-udef_binary64
282×expm1-udef_binary64
266×pow3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01548
132148
2428448
Stop Event
node limit
Counts
3 → 85
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(*.f64 a (sin.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
Outputs
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#<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) a)) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) a)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 a a)) (cos.f64 b)) (cos.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 a a))) (cos.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (fma.f64 -1/2 (*.f64 a a) 1))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (fma.f64 -1/2 (*.f64 a a) 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (fma.f64 -1/2 (*.f64 a a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (fma.f64 -1/2 (*.f64 a a) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (fma.f64 -1/2 (*.f64 a a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 b)) (fma.f64 -1/2 (*.f64 a a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 a a)) (cos.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 a a)) (cos.f64 b) (cos.f64 b))))))

simplify78.0ms (0.4%)

Algorithm
egg-herbie
Rules
922×times-frac_binary64
882×fma-def_binary64
619×associate-/l*_binary64
428×associate-/r*_binary64
406×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01672568
15472414
220552318
Stop Event
node limit
Counts
169 → 136
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(+.f64 (/.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) (/.f64 (*.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 3))) (*.f64 -1/2 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) (/.f64 (*.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 3))) (*.f64 -1/2 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (-.f64 (*.f64 -1/6 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 3))) (*.f64 -1/2 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 1/6 (/.f64 (*.f64 a r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))))) (pow.f64 b 4))) (/.f64 (*.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.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 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 -1 (*.f64 (+.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 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2)))) (pow.f64 a 3))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))
(+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (*.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b)))))
(+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (*.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (sin.f64 b)) (cos.f64 b)))) (pow.f64 a 5))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (*.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))
(+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (*.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b)))))
(+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (*.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))))
(+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (*.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (*.f64 (pow.f64 a 5) (cos.f64 b)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (*.f64 (pow.f64 a 5) (pow.f64 (cos.f64 b) 2)))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))))))
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 -1/6 (*.f64 a (pow.f64 b 3))))
(+.f64 (*.f64 a b) (+.f64 (*.f64 1/120 (*.f64 a (pow.f64 b 5))) (*.f64 -1/6 (*.f64 a (pow.f64 b 3)))))
(+.f64 (*.f64 a b) (+.f64 (*.f64 1/120 (*.f64 a (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (*.f64 a (pow.f64 b 3))) (*.f64 -1/5040 (*.f64 a (pow.f64 b 7))))))
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(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))) (cos.f64 b))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(*.f64 -1/2 (*.f64 (pow.f64 a 2) (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))) (cos.f64 b))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(*.f64 -1/2 (*.f64 (pow.f64 a 2) (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))) (cos.f64 b))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 2)))))
(+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 2))))))
(+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 1 (+.f64 (*.f64 -1/720 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 6))) (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 2)))))))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (*.f64 a a))))
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(+.f64 (/.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) (/.f64 (*.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (*.f64 a a)))) (/.f64 (*.f64 (*.f64 a (*.f64 b b)) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) 2)))
(+.f64 (/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1)) (/.f64 (*.f64 r (*.f64 a (*.f64 b b))) (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 2)))
(fma.f64 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1)) b (*.f64 (*.f64 (/.f64 r (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 2)) a) (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 3))) (*.f64 -1/2 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) (/.f64 (*.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(fma.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (+.f64 1 (*.f64 -1/2 (*.f64 a a))))) (fma.f64 -1 (/.f64 (*.f64 r (*.f64 a a)) (pow.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) 3)) (*.f64 -1/2 (/.f64 r (+.f64 1 (*.f64 -1/2 (*.f64 a a))))))) (+.f64 (/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (*.f64 a a)))) (/.f64 (*.f64 (*.f64 a (*.f64 b b)) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) 2))))
(+.f64 (/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1)) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1))) (fma.f64 -1/2 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1)) (/.f64 (*.f64 (neg.f64 (*.f64 a a)) r) (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 3)))) (/.f64 (*.f64 r (*.f64 a (*.f64 b b))) (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 2))))
(fma.f64 (pow.f64 b 3) (+.f64 (*.f64 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1)) 1/3) (*.f64 (/.f64 (*.f64 a a) (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 3)) r)) (fma.f64 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1)) b (*.f64 (*.f64 (/.f64 r (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 2)) a) (*.f64 b b))))
(+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 3))) (*.f64 -1/2 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (-.f64 (*.f64 -1/6 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 3))) (*.f64 -1/2 (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 1/6 (/.f64 (*.f64 a r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))))) (pow.f64 b 4))) (/.f64 (*.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(fma.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (+.f64 1 (*.f64 -1/2 (*.f64 a a))))) (fma.f64 -1 (/.f64 (*.f64 r (*.f64 a a)) (pow.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) 3)) (*.f64 -1/2 (/.f64 r (+.f64 1 (*.f64 -1/2 (*.f64 a a))))))) (+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 b b)) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) 2)) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 (*.f64 r a) (pow.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) 2)) (fma.f64 -1 (/.f64 a (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (-.f64 (*.f64 -1/6 (/.f64 r (+.f64 1 (*.f64 -1/2 (*.f64 a a))))) (fma.f64 -1 (/.f64 (*.f64 r (*.f64 a a)) (pow.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) 3)) (*.f64 -1/2 (/.f64 r (+.f64 1 (*.f64 -1/2 (*.f64 a a))))))))) (*.f64 (/.f64 (*.f64 r a) (pow.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) 2)) 1/6))) (pow.f64 b 4)) (/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (*.f64 a a)))))))
(+.f64 (-.f64 (/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1)) (*.f64 (fma.f64 -1/2 (/.f64 r (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 2) a)) (-.f64 (*.f64 (/.f64 r (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 2) a)) 1/6) (*.f64 (/.f64 a (fma.f64 -1/2 (*.f64 a a) 1)) (-.f64 (*.f64 -1/6 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1))) (fma.f64 -1/2 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1)) (/.f64 (*.f64 (neg.f64 (*.f64 a a)) r) (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 3))))))) (pow.f64 b 4))) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1))) (fma.f64 -1/2 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1)) (/.f64 (*.f64 (neg.f64 (*.f64 a a)) r) (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 3)))) (/.f64 (*.f64 r (*.f64 a (*.f64 b b))) (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 2))))
(-.f64 (fma.f64 (pow.f64 b 3) (+.f64 (*.f64 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1)) 1/3) (*.f64 (/.f64 (*.f64 a a) (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 3)) r)) (fma.f64 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1)) b (*.f64 (*.f64 (/.f64 r (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 2)) a) (*.f64 b b)))) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 r (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 2)) a) -1/3) (*.f64 (/.f64 a (fma.f64 -1/2 (*.f64 a a) 1)) (+.f64 (*.f64 (/.f64 r (fma.f64 -1/2 (*.f64 a a) 1)) 1/3) (*.f64 (/.f64 (*.f64 a a) (pow.f64 (fma.f64 -1/2 (*.f64 a a) 1) 3)) r)))) (pow.f64 b 4)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 r (/.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
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(-.f64 (fma.f64 4 (/.f64 r (*.f64 (pow.f64 (cos.f64 b) 2) (/.f64 (pow.f64 a 3) (pow.f64 (sin.f64 b) 2)))) (*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 -2 (*.f64 a a)))) (/.f64 (fma.f64 4 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 3) r) 8))) (pow.f64 a 4)))
(+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (*.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (*.f64 (pow.f64 a 5) (cos.f64 b)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (*.f64 (pow.f64 a 5) (pow.f64 (cos.f64 b) 2)))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))))))
(fma.f64 4 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3)) (/.f64 r (pow.f64 (cos.f64 b) 2))) (fma.f64 2 (*.f64 (/.f64 (sin.f64 b) (pow.f64 a 5)) (/.f64 (fma.f64 8 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (cos.f64 b))) (fma.f64 -1 (/.f64 (fma.f64 8 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (*.f64 4 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4)) (fma.f64 8 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 5)) (/.f64 r (pow.f64 (cos.f64 b) 2))) (*.f64 -2 (*.f64 (/.f64 (sin.f64 b) (*.f64 a a)) (/.f64 r (cos.f64 b))))))))
(fma.f64 4 (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3))) (fma.f64 2 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (pow.f64 a 5))) (fma.f64 4 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (*.f64 (*.f64 8 r) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)))) (-.f64 (fma.f64 -2 (*.f64 (/.f64 (sin.f64 b) (*.f64 a a)) (/.f64 r (cos.f64 b))) (*.f64 8 (/.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 a 5) r)) (pow.f64 (cos.f64 b) 2)))) (/.f64 (fma.f64 4 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (*.f64 (*.f64 8 r) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (pow.f64 a 4)))))
(fma.f64 4 (/.f64 r (*.f64 (pow.f64 (cos.f64 b) 2) (/.f64 (pow.f64 a 3) (pow.f64 (sin.f64 b) 2)))) (fma.f64 2 (*.f64 (/.f64 (sin.f64 b) (pow.f64 a 5)) (/.f64 (fma.f64 4 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 3) r) 8))) (cos.f64 b))) (fma.f64 -2 (*.f64 (/.f64 (sin.f64 b) (*.f64 a a)) (/.f64 r (cos.f64 b))) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 5)) (/.f64 (*.f64 r 8) (pow.f64 (cos.f64 b) 2))) (/.f64 (fma.f64 4 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 3) r) 8))) (pow.f64 a 4))))))
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 -1/6 (*.f64 a (pow.f64 b 3))))
(fma.f64 a b (*.f64 -1/6 (*.f64 a (pow.f64 b 3))))
(fma.f64 b a (*.f64 a (*.f64 (pow.f64 b 3) -1/6)))
(*.f64 a (+.f64 b (*.f64 -1/6 (pow.f64 b 3))))
(+.f64 (*.f64 a b) (+.f64 (*.f64 1/120 (*.f64 a (pow.f64 b 5))) (*.f64 -1/6 (*.f64 a (pow.f64 b 3)))))
(fma.f64 a b (fma.f64 1/120 (*.f64 a (pow.f64 b 5)) (*.f64 -1/6 (*.f64 a (pow.f64 b 3)))))
(fma.f64 b a (fma.f64 -1/6 (*.f64 a (pow.f64 b 3)) (*.f64 (pow.f64 b 5) (*.f64 a 1/120))))
(fma.f64 a (*.f64 (pow.f64 b 3) -1/6) (*.f64 a (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (*.f64 a b) (+.f64 (*.f64 1/120 (*.f64 a (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (*.f64 a (pow.f64 b 3))) (*.f64 -1/5040 (*.f64 a (pow.f64 b 7))))))
(fma.f64 a b (fma.f64 1/120 (*.f64 a (pow.f64 b 5)) (fma.f64 -1/6 (*.f64 a (pow.f64 b 3)) (*.f64 -1/5040 (*.f64 a (pow.f64 b 7))))))
(fma.f64 b a (fma.f64 1/120 (*.f64 a (pow.f64 b 5)) (fma.f64 -1/6 (*.f64 a (pow.f64 b 3)) (*.f64 (pow.f64 b 7) (*.f64 a -1/5040)))))
(fma.f64 b a (fma.f64 a (*.f64 (pow.f64 b 5) 1/120) (*.f64 a (+.f64 (*.f64 -1/6 (pow.f64 b 3)) (*.f64 -1/5040 (pow.f64 b 7))))))
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(*.f64 (sin.f64 b) a)
(cos.f64 b)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (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))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (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))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
(*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))
(*.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)))
(*.f64 -1/2 (*.f64 a (*.f64 a (cos.f64 b))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (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))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (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))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
(*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))
(*.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)))
(*.f64 -1/2 (*.f64 a (*.f64 a (cos.f64 b))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (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))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (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))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
(+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 a a)))
(fma.f64 -1/2 (*.f64 a a) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 2)))))
(+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 a a) (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (*.f64 b b)))))
(fma.f64 -1/2 (fma.f64 a a (*.f64 b (*.f64 b (fma.f64 -1/2 (*.f64 a a) 1)))) 1)
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 b b)) 1) (fma.f64 -1/2 (*.f64 a a) 1))
(+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 2))))))
(fma.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (pow.f64 b 4)) (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 a a) (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (*.f64 b b))))))
(fma.f64 1/24 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (pow.f64 b 4)) (fma.f64 -1/2 (fma.f64 a a (*.f64 b (*.f64 b (fma.f64 -1/2 (*.f64 a a) 1)))) 1))
(+.f64 (fma.f64 -1/2 (*.f64 a a) 1) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (+.f64 (*.f64 (*.f64 b b) -1/2) (*.f64 (pow.f64 b 4) 1/24))))
(+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 1 (+.f64 (*.f64 -1/720 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 6))) (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 2)))))))
(fma.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (pow.f64 b 4)) (+.f64 1 (fma.f64 -1/720 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (pow.f64 b 6)) (*.f64 -1/2 (+.f64 (*.f64 a a) (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 a a))) (*.f64 b b)))))))
(+.f64 (fma.f64 1/24 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (pow.f64 b 4)) (fma.f64 -1/2 (fma.f64 a a (*.f64 b (*.f64 b (fma.f64 -1/2 (*.f64 a a) 1)))) 1)) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (*.f64 (pow.f64 b 6) -1/720)))
(+.f64 (fma.f64 -1/2 (*.f64 a a) (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (+.f64 (*.f64 (*.f64 b b) -1/2) (*.f64 (pow.f64 b 6) -1/720)))) (fma.f64 (fma.f64 -1/2 (*.f64 a a) 1) (*.f64 (pow.f64 b 4) 1/24) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(fma.f64 -1/2 (*.f64 (*.f64 a a) (cos.f64 b)) (cos.f64 b))
(*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))

eval636.0ms (3.4%)

Compiler

Compiled 29108 to 10313 computations (64.6% saved)

prune556.0ms (3%)

Pruning

71 alts after pruning (67 fresh and 4 done)

PrunedKeptTotal
New1003541057
Fresh271340
Picked011
Done134
Total1031711102
Error
0.0b
Counts
1102 → 71
Alt Table
Click to see full alt table
StatusErrorProgram
38.6b
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
14.7b
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
14.4b
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
14.7b
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
40.3b
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
22.9b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 b) 3)))
48.2b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
53.9b
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
30.7b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -1/2) b) (sin.f64 a)))))
24.1b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
0.5b
(/.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)))))
31.4b
(*.f64 (/.f64 r (cos.f64 a)) b)
1.3b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
0.5b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 a))) (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)) (*.f64 (cbrt.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
28.5b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6))))
31.7b
(/.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
14.4b
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
37.8b
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
38.4b
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
22.9b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
28.9b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 a) 3)))
23.9b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
51.0b
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)
14.4b
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
30.2b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
31.9b
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
43.0b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
36.2b
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
37.9b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
0.7b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (*.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
22.9b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
39.8b
(*.f64 r b)
22.8b
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
0.5b
(/.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)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)))
28.8b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
15.1b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
31.4b
(*.f64 r (/.f64 b (cos.f64 a)))
31.0b
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
22.8b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
53.9b
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
0.4b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
23.9b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
55.0b
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
15.0b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
31.1b
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
42.6b
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
0.4b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
31.5b
(/.f64 r (/.f64 (cos.f64 a) b))
31.1b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 b a)))))))
49.7b
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
14.6b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a)))))))
0.9b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1 (*.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))))) 3)))
31.8b
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
36.5b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
42.5b
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))
0.4b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
30.5b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (*.f64 (*.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))))
0.5b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
31.5b
(/.f64 b (/.f64 (cos.f64 a) r))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) 3)))
14.4b
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
31.3b
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
31.0b
(/.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 -1/2 (*.f64 b b)) 1) (cos.f64 a))))
23.2b
(/.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))))
Compiler

Compiled 2701 to 1701 computations (37% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 64 to 12 computations (81.3% saved)

series20.0ms (0.1%)

Counts
4 → 120
Calls

30 calls:

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

rewrite158.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
806×log-prod_binary64
604×fma-def_binary64
311×fma-neg_binary64
277×expm1-udef_binary64
277×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
129737
2438737
Stop Event
node limit
Counts
4 → 267
Calls
Call 1
Inputs
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
Outputs
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a)) (*.f64 (sin.f64 b) (sin.f64 a))))))))))

simplify87.0ms (0.5%)

Algorithm
egg-herbie
Rules
495×times-frac_binary64
432×associate-/l*_binary64
381×associate-*l/_binary64
347×associate-*r/_binary64
302×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01833080
16053010
221492922
Stop Event
node limit
Counts
387 → 334
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 (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 (*.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 (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))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 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 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 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 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.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)))
(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)))
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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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 (*.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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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 (*.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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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 (*.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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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 (*.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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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 (*.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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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 (*.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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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 (*.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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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 (*.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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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 (*.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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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 (*.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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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 (*.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) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) 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) (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 (*.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))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r a)))
(+.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) r) 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 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 -1/2 (*.f64 (sin.f64 b) r)) (cos.f64 b)))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r a)) (*.f64 a (*.f64 a (-.f64 (*.f64 (sin.f64 b) (/.f64 (*.f64 r -1/2) (cos.f64 b))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r))))))
(+.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) r) a) (*.f64 a (*.f64 a (*.f64 (/.f64 r (cos.f64 b)) (-.f64 (*.f64 -1/2 (sin.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 2))))))))
(+.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)))))
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(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 r (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 (*.f64 a a) -1/2) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))
(fma.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 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 (*.f64 a a) -1/2) 1) (cos.f64 b))) (*.f64 (sin.f64 b) a))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 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))))
(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 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) (*.f64 -1/2 (*.f64 b (*.f64 b (cos.f64 a)))))
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -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 (*.f64 -1/2 (cos.f64 a)) (*.f64 b b)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) 1/6) (pow.f64 b 3) (*.f64 -1/2 (*.f64 b (*.f64 b (cos.f64 a))))))
(+.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))))

localize5.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 r (sin.f64 b))
0.2b
(/.f64 1 (cos.f64 (+.f64 b a)))
0.3b
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
3.0b
(cos.f64 (+.f64 b a))
Compiler

Compiled 37 to 13 computations (64.9% saved)

series7.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite79.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
594×log-prod_binary64
574×prod-diff_binary64
313×pow2_binary64
220×pow1/3_binary64
220×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
123423
2314523
Stop Event
node limit
Counts
2 → 63
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
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 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))) (#(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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (*.f64 r (sin.f64 b)))))))) (#(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)) (sqrt.f64 (cos.f64 (+.f64 b a)))) (sqrt.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 -1 (*.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) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(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 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 3) (pow.f64 (*.f64 r (sin.f64 b)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 3)) 1/3)))) (#(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 (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 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 3) (pow.f64 (*.f64 r (sin.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 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 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)) (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (+.f64 b a)) -1/2) (pow.f64 (cos.f64 (+.f64 b a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.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)) (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (+.f64 b a)))) 1))))))

simplify56.0ms (0.3%)

Algorithm
egg-herbie
Rules
753×associate-*l*_binary64
645×fma-def_binary64
482×times-frac_binary64
423×associate-/l*_binary64
370×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01531485
14801422
216631366
Stop Event
node limit
Counts
123 → 101
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 1 (cos.f64 a))
(+.f64 (/.f64 1 (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 1 (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)) (*.f64 (pow.f64 b 2) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))
(+.f64 (/.f64 1 (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 (pow.f64 b 2) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (*.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3))))))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 b))
(+.f64 (/.f64 1 (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))))))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b))) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1/2 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3))) (+.f64 (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))))))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (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 (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 (/.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 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (*.f64 b b)))) (+.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 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
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(+.f64 (/.f64 1 (cos.f64 a)) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) b)) (fma.f64 (*.f64 b b) (-.f64 (/.f64 1/2 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (neg.f64 (*.f64 (pow.f64 b 3) (fma.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (/.f64 1/2 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))))))))
(+.f64 (/.f64 1 (cos.f64 a)) (-.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (/.f64 b (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a)))) (*.f64 (pow.f64 b 3) (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)) (/.f64 (neg.f64 (sin.f64 a)) (/.f64 (cos.f64 a) (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))))
(+.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) b (/.f64 1 (cos.f64 a))) (*.f64 (*.f64 b b) (-.f64 (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (*.f64 b (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 b))
(+.f64 (/.f64 1 (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 1 (cos.f64 b)) (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) a)))
(+.f64 (/.f64 1 (cos.f64 b)) (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a))
(fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a (/.f64 1 (cos.f64 b)))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))))))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) a)) (*.f64 (*.f64 a a) (-.f64 (/.f64 1/2 (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))))))
(+.f64 (/.f64 1 (cos.f64 b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a)))
(fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))) (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a (/.f64 1 (cos.f64 b))))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b))) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1/2 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3))) (+.f64 (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))))))
(+.f64 (/.f64 1 (cos.f64 b)) (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (-.f64 (/.f64 1/2 (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))))) (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -1/3))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) a)) (*.f64 (*.f64 a a) (-.f64 (/.f64 1/2 (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))))))
(+.f64 (/.f64 1 (cos.f64 b)) (-.f64 (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a)) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -1/3) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))))))
(-.f64 (fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))) (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a (/.f64 1 (cos.f64 b)))) (*.f64 (pow.f64 a 3) (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -1/3 (/.f64 (neg.f64 (fma.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))) (cos.f64 b)))))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (+.f64 b a)))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (*.f64 r (sin.f64 b)) 3)
0.3b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
3.0b
(cos.f64 (+.f64 b a))
36.9b
(cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))
Compiler

Compiled 45 to 17 computations (62.2% saved)

series12.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

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

rewrite82.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
628×log-prod_binary64
589×prod-diff_binary64
327×pow2_binary64
223×expm1-udef_binary64
223×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
126929
2341029
Stop Event
node limit
Counts
3 → 108
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(pow.f64 (*.f64 r (sin.f64 b)) 3)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) 1)))) (#(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 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(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 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (*.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 2) (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (*.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (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 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) 1) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (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 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(#(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 pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1) -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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 r (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (sin.f64 b) (pow.f64 (*.f64 r (sin.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 r (pow.f64 (*.f64 r (sin.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) (pow.f64 (*.f64 r (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 r (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2) (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (*.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (pow.f64 (*.f64 r (sin.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (*.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (pow.f64 (*.f64 r (sin.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3/2) (pow.f64 (*.f64 r (sin.f64 b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2) r) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2) (sin.f64 b)) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2) 1) (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2) (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2)) (cbrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2) (sqrt.f64 (*.f64 r (sin.f64 b)))) (sqrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 r (sin.f64 b)))) 1))))))

simplify80.0ms (0.4%)

Algorithm
egg-herbie
Rules
825×fma-neg_binary64
388×times-frac_binary64
377×*-commutative_binary64
360×associate-/l*_binary64
320×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01631610
15241545
219161490
376811484
Stop Event
node limit
Counts
192 → 148
Calls
Call 1
Inputs
(*.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 -1 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)))
(*.f64 -1 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)))
(*.f64 -1 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)))
(*.f64 -1 (*.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) 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)
(/.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 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 b 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 r 3)) (*.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (*.f64 (pow.f64 r 3) (pow.f64 b 3)))
(+.f64 (*.f64 (pow.f64 b 7) (+.f64 (*.f64 1/120 (pow.f64 r 3)) (+.f64 (*.f64 1/18 (pow.f64 r 3)) (*.f64 r (+.f64 (*.f64 1/36 (pow.f64 r 2)) (*.f64 1/60 (pow.f64 r 2))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 r 3)) (*.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (*.f64 (pow.f64 r 3) (pow.f64 b 3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 r 3)) (+.f64 (*.f64 -1/6 (*.f64 r (+.f64 (*.f64 1/36 (pow.f64 r 2)) (*.f64 1/60 (pow.f64 r 2))))) (+.f64 (*.f64 -1/5040 (pow.f64 r 3)) (*.f64 r (+.f64 (*.f64 -1/360 (pow.f64 r 2)) (*.f64 -1/2520 (pow.f64 r 2))))))) (pow.f64 b 9)) (+.f64 (*.f64 (pow.f64 b 7) (+.f64 (*.f64 1/120 (pow.f64 r 3)) (+.f64 (*.f64 1/18 (pow.f64 r 3)) (*.f64 r (+.f64 (*.f64 1/36 (pow.f64 r 2)) (*.f64 1/60 (pow.f64 r 2))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 r 3)) (*.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (*.f64 (pow.f64 r 3) (pow.f64 b 3)))))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
Outputs
(*.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)
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(+.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 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) -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 (*.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) (pow.f64 (cos.f64 b) 2)) (*.f64 r a)) (-.f64 (-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 a (*.f64 a (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (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 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 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r)))))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (-.f64 (*.f64 (/.f64 r (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) a) (*.f64 (*.f64 a a) (+.f64 (*.f64 a (fma.f64 (/.f64 r (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) -1/3 (*.f64 (-.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (cos.f64 b) -1/2)) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 3)) (pow.f64 (sin.f64 b) 3))) (/.f64 (sin.f64 b) (cos.f64 b))))) (-.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (cos.f64 b) -1/2)) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 3)) (pow.f64 (sin.f64 b) 3)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 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 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 b 3))
(*.f64 (pow.f64 b 3) (pow.f64 r 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 r 3)) (*.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (*.f64 (pow.f64 r 3) (pow.f64 b 3)))
(fma.f64 (*.f64 (pow.f64 r 3) -1/2) (pow.f64 b 5) (*.f64 (pow.f64 b 3) (pow.f64 r 3)))
(fma.f64 (pow.f64 b 3) (pow.f64 r 3) (*.f64 (pow.f64 b 5) (*.f64 -1/2 (pow.f64 r 3))))
(*.f64 (pow.f64 r 3) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 5) -1/2)))
(+.f64 (*.f64 (pow.f64 b 7) (+.f64 (*.f64 1/120 (pow.f64 r 3)) (+.f64 (*.f64 1/18 (pow.f64 r 3)) (*.f64 r (+.f64 (*.f64 1/36 (pow.f64 r 2)) (*.f64 1/60 (pow.f64 r 2))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 r 3)) (*.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (*.f64 (pow.f64 r 3) (pow.f64 b 3))))
(fma.f64 (pow.f64 b 7) (fma.f64 1/120 (pow.f64 r 3) (fma.f64 1/18 (pow.f64 r 3) (*.f64 r (*.f64 (*.f64 r r) 2/45)))) (fma.f64 (*.f64 (pow.f64 r 3) -1/2) (pow.f64 b 5) (*.f64 (pow.f64 b 3) (pow.f64 r 3))))
(fma.f64 (pow.f64 b 7) (+.f64 (*.f64 (pow.f64 r 3) 2/45) (*.f64 (pow.f64 r 3) 23/360)) (fma.f64 (pow.f64 b 3) (pow.f64 r 3) (*.f64 (pow.f64 b 5) (*.f64 -1/2 (pow.f64 r 3)))))
(fma.f64 (pow.f64 b 7) (*.f64 (pow.f64 r 3) 13/120) (*.f64 (pow.f64 r 3) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 5) -1/2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 r 3)) (+.f64 (*.f64 -1/6 (*.f64 r (+.f64 (*.f64 1/36 (pow.f64 r 2)) (*.f64 1/60 (pow.f64 r 2))))) (+.f64 (*.f64 -1/5040 (pow.f64 r 3)) (*.f64 r (+.f64 (*.f64 -1/360 (pow.f64 r 2)) (*.f64 -1/2520 (pow.f64 r 2))))))) (pow.f64 b 9)) (+.f64 (*.f64 (pow.f64 b 7) (+.f64 (*.f64 1/120 (pow.f64 r 3)) (+.f64 (*.f64 1/18 (pow.f64 r 3)) (*.f64 r (+.f64 (*.f64 1/36 (pow.f64 r 2)) (*.f64 1/60 (pow.f64 r 2))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 r 3)) (*.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (*.f64 (pow.f64 r 3) (pow.f64 b 3)))))
(fma.f64 (fma.f64 -1/360 (pow.f64 r 3) (fma.f64 -1/6 (*.f64 r (*.f64 (*.f64 r r) 2/45)) (fma.f64 -1/5040 (pow.f64 r 3) (*.f64 r (*.f64 (*.f64 r r) -1/315))))) (pow.f64 b 9) (fma.f64 (pow.f64 b 7) (fma.f64 1/120 (pow.f64 r 3) (fma.f64 1/18 (pow.f64 r 3) (*.f64 r (*.f64 (*.f64 r r) 2/45)))) (fma.f64 (*.f64 (pow.f64 r 3) -1/2) (pow.f64 b 5) (*.f64 (pow.f64 b 3) (pow.f64 r 3)))))
(fma.f64 (fma.f64 (pow.f64 r 3) -1/360 (fma.f64 -1/6 (*.f64 (pow.f64 r 3) 2/45) (fma.f64 -1/5040 (pow.f64 r 3) (*.f64 (pow.f64 r 3) -1/315)))) (pow.f64 b 9) (fma.f64 (pow.f64 b 7) (+.f64 (*.f64 (pow.f64 r 3) 2/45) (*.f64 (pow.f64 r 3) 23/360)) (fma.f64 (pow.f64 b 3) (pow.f64 r 3) (*.f64 (pow.f64 b 5) (*.f64 -1/2 (pow.f64 r 3))))))
(fma.f64 (fma.f64 (pow.f64 r 3) -1/360 (fma.f64 -1/6 (*.f64 (pow.f64 r 3) 2/45) (*.f64 (pow.f64 r 3) -17/5040))) (pow.f64 b 9) (fma.f64 (pow.f64 b 7) (*.f64 (pow.f64 r 3) 13/120) (*.f64 (pow.f64 r 3) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 5) -1/2)))))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))

localize86.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 r (sin.f64 b))
0.4b
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 3)
2.6b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
13.8b
(cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)))
Compiler

Compiled 100 to 47 computations (53% saved)

series34.0ms (0.2%)

Counts
3 → 62
Calls

21 calls:

TimeVariablePointExpression
6.0ms
b
@0
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 3)
4.0ms
b
@0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
3.0ms
r
@0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
2.0ms
a
@0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
2.0ms
b
@inf
(cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)))

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
891×log-prod_binary64
376×fma-def_binary64
307×log1p-udef_binary64
306×expm1-udef_binary64
259×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01857
138157
2471057
Stop Event
node limit
Counts
3 → 115
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 3)
Outputs
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(fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 a a)) (cos.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 a a)) (cos.f64 b) (cos.f64 b))))))

simplify113.0ms (0.6%)

Algorithm
egg-herbie
Rules
699×associate-+l+_binary64
480×associate-/r*_binary64
323×associate-*l/_binary64
272×associate-*r*_binary64
272×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02492850
19412479
237402251
Stop Event
node limit
Counts
177 → 170
Calls
Call 1
Inputs
(pow.f64 (cos.f64 b) 1/3)
(+.f64 (pow.f64 (cos.f64 b) 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (pow.f64 a 2))))
(+.f64 (pow.f64 (cos.f64 b) 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (pow.f64 a 4))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/216 (cos.f64 b)) (*.f64 1/36 (cos.f64 b))) (pow.f64 a 6)))) (+.f64 (pow.f64 (cos.f64 b) 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (pow.f64 a 4))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (pow.f64 a 2))))))
(pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 1/3)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3) (pow.f64 b 2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 1/3))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) 1/3) (*.f64 (pow.f64 b 4) (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 1/3)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) 1/3) (*.f64 (pow.f64 b 6) (-.f64 (*.f64 -1/720 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (+.f64 (*.f64 -1/216 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 -1/3 (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) 1/3) (*.f64 (pow.f64 b 4) (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 1/3))))
(pow.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) 1/3)
(pow.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) 1/3)
(pow.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) 1/3)
(pow.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) 1/3)
(pow.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) 1/3)
(pow.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) 1/3)
(pow.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) 1/3)
(pow.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) 1/3)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))))
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 3)))) (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))))) (pow.f64 b 3)) (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)))))
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 3)))) (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))))) (pow.f64 b 3)) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 a r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 a (*.f64 r (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 3))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 a (-.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 3)))) (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 r (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)))))) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))) (*.f64 (sin.f64 b) a)))
(*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))))
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (cos.f64 b))) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (cos.f64 b)))) r)) (pow.f64 (cos.f64 b) 2)) (pow.f64 1 1/3)) (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3)) (pow.f64 1 1/3))))))))
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3)) (pow.f64 1 1/3))) (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (cos.f64 b))) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (cos.f64 b)))) r)) (pow.f64 (cos.f64 b) 2)))) (sin.f64 b)) (cos.f64 b)) (pow.f64 1 1/3)) (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (cos.f64 b))) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (cos.f64 b)))) r)) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 3))) (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (cos.f64 b))) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (cos.f64 b)))) r)) (pow.f64 (cos.f64 b) 2)) (pow.f64 1 1/3)) (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3)) (pow.f64 1 1/3)))))))))
(*.f64 -1 (/.f64 r a))
(*.f64 -1 (/.f64 r a))
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (cos.f64 b))) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (cos.f64 b))))) (*.f64 (pow.f64 1 1/3) (cos.f64 b)))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (cos.f64 b))) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (cos.f64 b))))) (+.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (+.f64 (*.f64 -1/18 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3)) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) (cos.f64 b))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (cos.f64 b)))))) (*.f64 (pow.f64 1 1/3) (cos.f64 b))))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (cos.f64 b))) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (cos.f64 b))))) (+.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (+.f64 (*.f64 -1/18 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3)) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) (cos.f64 b))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (cos.f64 b)))))) (+.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 b)) (*.f64 (+.f64 (*.f64 1/108 (*.f64 (pow.f64 1 1/3) (cos.f64 b))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/216 (cos.f64 b)) (*.f64 1/36 (cos.f64 b))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (+.f64 (*.f64 -1/18 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3)) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3))))) (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (+.f64 (*.f64 1/108 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/3) (+.f64 (*.f64 -1/216 (cos.f64 b)) (*.f64 1/36 (cos.f64 b)))))))))) (pow.f64 a 6)))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3) (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (pow.f64 (*.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3)) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))) (pow.f64 b 4)) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (+.f64 (*.f64 -1/216 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 -1/3 (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3) (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3) (-.f64 (*.f64 -1/720 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (+.f64 (*.f64 -1/216 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 -1/3 (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))))) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3) (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (pow.f64 (*.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))) (pow.f64 b 6)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3) (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))) (pow.f64 (*.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3)) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) (*.f64 1/12 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))) (pow.f64 b 4)) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
Outputs
(pow.f64 (cos.f64 b) 1/3)
(cbrt.f64 (cos.f64 b))
(+.f64 (pow.f64 (cos.f64 b) 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (pow.f64 a 2))))
(+.f64 (cbrt.f64 (cos.f64 b)) (*.f64 -1/6 (*.f64 (cbrt.f64 (cos.f64 b)) (*.f64 a a))))
(fma.f64 -1/6 (*.f64 (cbrt.f64 (cos.f64 b)) (*.f64 a a)) (cbrt.f64 (cos.f64 b)))
(*.f64 (+.f64 (*.f64 -1/6 (*.f64 a a)) 1) (cbrt.f64 (cos.f64 b)))
(+.f64 (pow.f64 (cos.f64 b) 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (pow.f64 a 4))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (pow.f64 a 2)))))
(+.f64 (cbrt.f64 (cos.f64 b)) (fma.f64 -1/36 (*.f64 (cbrt.f64 (cos.f64 b)) (pow.f64 a 4)) (*.f64 -1/6 (*.f64 (cbrt.f64 (cos.f64 b)) (*.f64 a a)))))
(+.f64 (cbrt.f64 (cos.f64 b)) (fma.f64 -1/6 (*.f64 (cbrt.f64 (cos.f64 b)) (*.f64 a a)) (*.f64 (cbrt.f64 (cos.f64 b)) (*.f64 (pow.f64 a 4) -1/36))))
(+.f64 (cbrt.f64 (cos.f64 b)) (*.f64 (cbrt.f64 (cos.f64 b)) (+.f64 (*.f64 -1/6 (*.f64 a a)) (*.f64 -1/36 (pow.f64 a 4)))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/216 (cos.f64 b)) (*.f64 1/36 (cos.f64 b))) (pow.f64 a 6)))) (+.f64 (pow.f64 (cos.f64 b) 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (pow.f64 a 4))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (cos.f64 b)) 1/3) (pow.f64 a 2))))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2))) (*.f64 (*.f64 (cos.f64 b) 5/216) (pow.f64 a 6))) (+.f64 (cbrt.f64 (cos.f64 b)) (fma.f64 -1/36 (*.f64 (cbrt.f64 (cos.f64 b)) (pow.f64 a 4)) (*.f64 -1/6 (*.f64 (cbrt.f64 (cos.f64 b)) (*.f64 a a))))))
(+.f64 (fma.f64 -1/6 (*.f64 (cbrt.f64 (cos.f64 b)) (*.f64 a a)) (*.f64 (cbrt.f64 (cos.f64 b)) (*.f64 (pow.f64 a 4) -1/36))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2))) (*.f64 (cos.f64 b) (*.f64 5/216 (pow.f64 a 6)))) (cbrt.f64 (cos.f64 b))))
(+.f64 (*.f64 (cbrt.f64 (cos.f64 b)) (+.f64 (*.f64 -1/6 (*.f64 a a)) (*.f64 -1/36 (pow.f64 a 4)))) (fma.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)))) (*.f64 (cos.f64 b) (*.f64 5/216 (pow.f64 a 6))) (cbrt.f64 (cos.f64 b))))
(pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 1/3)
(cbrt.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1))
(cbrt.f64 (fma.f64 (*.f64 a a) -1/2 1))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))) 1/3) (pow.f64 b 2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 1/3))
(fma.f64 -1/6 (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1)) (*.f64 b b)) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1)))
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(+.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) (fma.f64 (+.f64 (*.f64 1/3 (-.f64 (+.f64 -1/720 (*.f64 -1/720 (*.f64 (*.f64 a a) -1/2))) (fma.f64 -1/216 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) -1/24))))) (fma.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1)) (fma.f64 -1/9 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) -1/24) (cbrt.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 a a) -1/2) 1)))) (*.f64 2/3 (*.f64 (-.f64 (+.f64 -1/720 (*.f64 -1/720 (*.f64 (*.f64 a a) -1/2))) (fma.f64 -1/216 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) -1/24)))) (cbrt.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 a a) -1/2) 1)))))) (fma.f64 -1/6 (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1)) (fma.f64 1/36 (cbrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) 2)) (*.f64 2/3 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) -1/24) (cbrt.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 a a) -1/2) 1))))))) (*.f64 -1/9 (*.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) -1/24))))) (pow.f64 b 6) (fma.f64 (fma.f64 (fma.f64 1/36 (cbrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) 2)) (*.f64 2/3 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) -1/24) (cbrt.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 a a) -1/2) 1)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1)) (fma.f64 1/18 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) (*.f64 1/3 (*.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) -1/24)))) (pow.f64 b 4) (*.f64 (*.f64 b b) (*.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) -1/2)))))
(+.f64 (fma.f64 (*.f64 a a) -1/2 1) (fma.f64 (pow.f64 b 6) (fma.f64 1/3 (-.f64 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) 7/2160) (*.f64 (fma.f64 (*.f64 a a) -1/2 1) 1/72)) (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) -1/24) -1/9) (*.f64 (cbrt.f64 (fma.f64 (*.f64 a a) -1/2 1)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) (*.f64 -1/24 (cbrt.f64 (/.f64 1 (fma.f64 (*.f64 a a) -1/2 1))))) -1/9 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) 7/2160) (*.f64 (fma.f64 (*.f64 a a) -1/2 1) 1/72)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (fma.f64 (*.f64 a a) -1/2 1)))))) (*.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 a a) -1/2 1) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 (fma.f64 (*.f64 a a) -1/2 1))))))))))) (fma.f64 (*.f64 b b) (*.f64 -1/2 (fma.f64 (*.f64 a a) -1/2 1)) (*.f64 (pow.f64 b 4) (fma.f64 (cbrt.f64 (fma.f64 (*.f64 a a) -1/2 1)) (fma.f64 1/36 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 a a) -1/2 1) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 (fma.f64 (*.f64 a a) -1/2 1)))))) (fma.f64 1/3 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) -1/24) (*.f64 (fma.f64 (*.f64 a a) -1/2 1) 1/18)))))))
(+.f64 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) (+.f64 1 (*.f64 -1/2 (*.f64 b b)))) (fma.f64 (pow.f64 b 6) (fma.f64 1/3 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) -23/2160) (+.f64 (*.f64 (*.f64 -1/9 (fma.f64 (*.f64 a a) -1/2 1)) -1/24) (*.f64 (cbrt.f64 (fma.f64 (*.f64 a a) -1/2 1)) (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 (*.f64 a a) -1/2 1))) (+.f64 (*.f64 (*.f64 -1/9 (fma.f64 (*.f64 a a) -1/2 1)) -1/24) (*.f64 2/3 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) -23/2160)))) (*.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 a a) -1/2 1) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 (fma.f64 (*.f64 a a) -1/2 1))))))))))) (*.f64 (pow.f64 b 4) (fma.f64 (cbrt.f64 (fma.f64 (*.f64 a a) -1/2 1)) (fma.f64 1/36 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 a a) -1/2 1) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 (fma.f64 (*.f64 a a) -1/2 1)))))) (fma.f64 (fma.f64 (*.f64 a a) -1/2 1) 1/18 (*.f64 (fma.f64 (*.f64 a a) -1/2 1) -1/72))))))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) -1/2) (cos.f64 b))
(*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) -1/2 1))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) -1/2) (cos.f64 b))
(*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) -1/2 1))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) -1/2) (cos.f64 b))
(*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) -1/2 1))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) -1/2) (cos.f64 b))
(*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) -1/2 1))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) -1/2) (cos.f64 b))
(*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) -1/2 1))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) -1/2) (cos.f64 b))
(*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) -1/2 1))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) -1/2) (cos.f64 b))
(*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) -1/2 1))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) -1/2) (cos.f64 b))
(*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) -1/2 1))

eval682.0ms (3.7%)

Compiler

Compiled 26398 to 10151 computations (61.5% saved)

prune471.0ms (2.5%)

Pruning

78 alts after pruning (74 fresh and 4 done)

PrunedKeptTotal
New93043973
Fresh313162
Picked101
Done448
Total966781044
Error
0.0b
Counts
1044 → 78
Alt Table
Click to see full alt table
StatusErrorProgram
38.6b
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
23.4b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
40.3b
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
22.8b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
0.4b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))) (sin.f64 b))
22.9b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 b) 3)))
48.2b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
53.9b
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
30.7b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -1/2) b) (sin.f64 a)))))
31.4b
(*.f64 (/.f64 r (cos.f64 a)) b)
1.3b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
14.8b
(*.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (*.f64 r (sin.f64 b)))
28.5b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6))))
0.4b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a))))) (sin.f64 b))
47.1b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 a))
0.5b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 a))) (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)) (*.f64 (cbrt.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
36.2b
(pow.f64 (sqrt.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) 2)
0.4b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
15.1b
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
40.6b
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 (+.f64 b a)))
28.9b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 a) 3)))
22.9b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
38.4b
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
43.9b
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2)) (sin.f64 b))
51.0b
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)
14.7b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)) (*.f64 r (sin.f64 b)))
14.4b
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
30.2b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
31.9b
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
22.8b
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
0.3b
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
0.4b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3))) (sin.f64 b))
28.8b
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
23.2b
(*.f64 (/.f64 r (fma.f64 (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
28.8b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
17.2b
(*.f64 (/.f64 r (fma.f64 (*.f64 (cos.f64 a) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
39.8b
(*.f64 r b)
0.4b
(*.f64 (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
14.4b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
22.9b
(*.f64 (/.f64 1 (cos.f64 b)) (*.f64 r (sin.f64 b)))
0.4b
(*.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
53.9b
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
14.7b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (*.f64 r (sin.f64 b)))
14.7b
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
23.9b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
0.4b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
28.5b
(*.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (sin.f64 b))
14.5b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
40.4b
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))) (sin.f64 b))
15.0b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3) (sin.f64 b))
55.0b
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
15.0b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
42.6b
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
31.5b
(/.f64 r (/.f64 (cos.f64 a) b))
31.4b
(*.f64 (/.f64 b (cos.f64 a)) r)
59.8b
(/.f64 (neg.f64 r) a)
40.3b
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
49.7b
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
0.4b
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
14.7b
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)) (sin.f64 b))
42.5b
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
36.5b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
28.8b
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
31.8b
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
20.3b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))
0.4b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
24.2b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 a a)) 1) (cbrt.f64 (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) 3)))
0.3b
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
0.5b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
31.5b
(/.f64 b (/.f64 (cos.f64 a) r))
14.4b
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
31.3b
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
22.9b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
16.2b
(*.f64 (/.f64 r (fma.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
31.3b
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
31.0b
(/.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 -1/2 (*.f64 b b)) 1) (cos.f64 a))))
Compiler

Compiled 2549 to 1696 computations (33.5% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 65 to 12 computations (81.5% saved)

series11.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

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

rewrite272.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
770×prod-diff_binary64
707×log-prod_binary64
244×expm1-udef_binary64
244×log1p-udef_binary64
238×egg-rr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01365
127629
2377729
Stop Event
node limit
Counts
3 → 302
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
Outputs
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((#(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 (*.f64 (cbrt.f64 (exp.f64 (/.f64 r (cos.f64 (-.f64 b a))))) (cbrt.f64 (exp.f64 (/.f64 r (cos.f64 (-.f64 b a))))))) (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 (cbrt.f64 (pow.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) (cbrt.f64 (pow.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) (cbrt.f64 (pow.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 (pow.f64 (/.f64 r (cos.f64 (-.f64 b a))) 3) 1/3)))) (#(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 (/.f64 (cos.f64 (-.f64 b a)) r) -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 cbrt.f64 (/.f64 (pow.f64 r 3) (pow.f64 (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 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (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 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sqrt.f64 (*.f64 (sin.f64 b) 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3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (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 b) (cos.f64 a))) (+.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 b) (cos.f64 a)))))))) (#(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 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (+.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 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 b a))))) (#(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 expm1.f64 (log1p.f64 (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 b a))) 1))))))

simplify203.0ms (1.1%)

Algorithm
egg-herbie
Rules
495×times-frac_binary64
432×associate-/l*_binary64
381×associate-*l/_binary64
347×associate-*r/_binary64
322×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01562760
15172690
218862622
Stop Event
node limit
Counts
398 → 352
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 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 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 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 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 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(/.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 (*.f64 (sin.f64 a) (*.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (*.f64 r (*.f64 b b)) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 (*.f64 r (*.f64 b b)) (/.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 (*.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 b b)) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (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 r (/.f64 (cos.f64 a) b))))
(+.f64 (*.f64 (*.f64 r (*.f64 b b)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (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)))) (*.f64 r (/.f64 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 (*.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 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) -1/3)) (pow.f64 b 4))))))
(+.f64 (/.f64 (*.f64 r (*.f64 b b)) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (-.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 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 (*.f64 r (pow.f64 (sin.f64 a) 2))) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 4))))
(-.f64 (+.f64 (*.f64 (*.f64 r (*.f64 b b)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (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)))) (*.f64 r (/.f64 b (cos.f64 a))))) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sin.f64 a) -1/3) (pow.f64 (cos.f64 a) 2)) r) (*.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) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (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) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (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)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(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 (cos.f64 b) (+.f64 1 (*.f64 a (*.f64 a -1/2)))) (*.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))
(+.f64 (*.f64 (cos.f64 b) (+.f64 1 (*.f64 a (*.f64 a -1/2)))) (*.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)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))

localize7.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
0.2b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
3.0b
(cos.f64 (+.f64 b a))
Compiler

Compiled 31 to 8 computations (74.2% saved)

series168.0ms (0.9%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
139.0ms
b
@inf
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
23.0ms
a
@0
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
1.0ms
b
@-inf
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
1.0ms
b
@0
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
1.0ms
a
@inf
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))

rewrite65.0ms (0.4%)

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
0925
120625
2311925
Stop Event
node limit
Counts
2 → 89
Calls
Call 1
Inputs
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (cbrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 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 pow.f64 (/.f64 (pow.f64 r 3) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 r (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(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 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(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 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 1 (neg.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 b)) (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))) (sin.f64 b)))))) (#(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))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (sqrt.f64 (sin.f64 b))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (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 (sin.f64 b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1))))))

simplify70.0ms (0.4%)

Algorithm
egg-herbie
Rules
659×associate-*r*_binary64
637×associate-*l*_binary64
511×fma-def_binary64
386×times-frac_binary64
339×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01311291
14081241
213751204
Stop Event
node limit
Counts
149 → 126
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 (*.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 (cos.f64 a) b)
(+.f64 (*.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (*.f64 b (-.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 -1/6 (cos.f64 a)))) (+.f64 (*.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b)))
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (cos.f64 a)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 -1/6 (cos.f64 a)))) (*.f64 1/120 (cos.f64 a)))) (pow.f64 b 3)) (+.f64 (*.f64 b (-.f64 (*.f64 -1/2 (cos.f64 a)) (*.f64 -1/6 (cos.f64 a)))) (+.f64 (*.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b))))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 b) (sin.f64 b))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 -1 a))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (+.f64 (*.f64 -1 a) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b)))))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (*.f64 -1 a) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b))))))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
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 (*.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 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (/.f64 (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) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r))))
(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 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (*.f64 b b)))) (+.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 (*.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))))
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(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)
0.3b
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
3.0b
(cos.f64 (+.f64 b a))
24.5b
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
Compiler

Compiled 52 to 14 computations (73.1% saved)

series22.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)
3.0ms
b
@0
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)
2.0ms
a
@0
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)
1.0ms
b
@inf
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)
1.0ms
r
@-inf
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)

rewrite241.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
659×log-prod_binary64
592×prod-diff_binary64
245×pow1/3_binary64
242×expm1-udef_binary64
242×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
126645
2364645
Stop Event
node limit
Counts
3 → 128
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 r (sin.f64 b))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 b a)) (/.f64 1 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simplify150.0ms (0.8%)

Algorithm
egg-herbie
Rules
901×fma-def_binary64
705×associate-/r*_binary64
638×associate-*l/_binary64
377×distribute-rgt-in_binary64
369×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02203253
17273168
227553024
Stop Event
node limit
Counts
236 → 190
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 -1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(/.f64 (cos.f64 a) (*.f64 b r))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) (*.f64 r b)))
(+.f64 (*.f64 b (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 -1/6 (/.f64 (cos.f64 a) r)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) (*.f64 r b))))
(+.f64 (*.f64 b (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 -1/6 (/.f64 (cos.f64 a) r)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 a) r)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 1/24 (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 1/120 (/.f64 (cos.f64 a) r)) (*.f64 -1/6 (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 -1/6 (/.f64 (cos.f64 a) r))))))) (/.f64 (cos.f64 a) (*.f64 r b)))))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))
(+.f64 (*.f64 -1 (/.f64 a r)) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) (*.f64 (sin.f64 b) r))) (+.f64 (*.f64 -1 (/.f64 a r)) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) (*.f64 (sin.f64 b) r))) (+.f64 (*.f64 -1 (/.f64 a r)) (+.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) (*.f64 1/6 (/.f64 (pow.f64 a 3) r)))))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 (pow.f64 b 2) (pow.f64 r 2)) (pow.f64 (cos.f64 a) 2))
(+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) (pow.f64 r 2))) (pow.f64 (cos.f64 a) 3))) (/.f64 (*.f64 (pow.f64 r 2) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) (pow.f64 r 2))) (pow.f64 (cos.f64 a) 3))) (+.f64 (*.f64 (pow.f64 b 4) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 a) 4)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 r 2) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 -1/6 (/.f64 (cos.f64 a) r)))) (pow.f64 (cos.f64 a) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) r) (cos.f64 a))))) (/.f64 (*.f64 (pow.f64 r 2) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (*.f64 (pow.f64 b 5) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 r 2) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 -1/6 (/.f64 (cos.f64 a) r))))) (pow.f64 (cos.f64 a) 3)) (/.f64 (*.f64 (sin.f64 a) (+.f64 (/.f64 (*.f64 (pow.f64 r 2) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 -1/6 (/.f64 (cos.f64 a) r)))) (pow.f64 (cos.f64 a) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) r) (cos.f64 a))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 r 2) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 -1/6 (/.f64 (cos.f64 a) r)))) (pow.f64 (cos.f64 a) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) r)) (pow.f64 (cos.f64 a) 2))) (*.f64 -1 (/.f64 (*.f64 r (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 r 2) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 -1/6 (/.f64 (cos.f64 a) r))))) (pow.f64 (cos.f64 a) 3)) (/.f64 (*.f64 (sin.f64 a) (+.f64 (/.f64 (*.f64 (pow.f64 r 2) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 -1/6 (/.f64 (cos.f64 a) r)))) (pow.f64 (cos.f64 a) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a)))) (cos.f64 a)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) (pow.f64 r 2))) (pow.f64 (cos.f64 a) 3))) (+.f64 (*.f64 (pow.f64 b 4) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 a) 4)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 r 2) (-.f64 (*.f64 -1/2 (/.f64 (cos.f64 a) r)) (*.f64 -1/6 (/.f64 (cos.f64 a) r)))) (pow.f64 (cos.f64 a) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) r) (cos.f64 a))))) (/.f64 (*.f64 (pow.f64 r 2) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 2))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 a (pow.f64 r 2))) (pow.f64 (cos.f64 b) 3))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4)) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.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)))) r)) (cos.f64 b))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 a (pow.f64 r 2))) (pow.f64 (cos.f64 b) 3))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 2))))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4)) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.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)))) r)) (cos.f64 b))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 a (pow.f64 r 2))) (pow.f64 (cos.f64 b) 3))) (+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (+.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)))) r)) (pow.f64 (cos.f64 b) 2))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.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))))) r)) (cos.f64 b)))) (pow.f64 a 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.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 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (*.f64 b b)))))
(+.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (*.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 (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 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 (*.f64 r (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 r (*.f64 b b))) (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 b (cos.f64 a)) r)))
(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 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 (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 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 (*.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 (*.f64 r (sin.f64 a)) (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 r (*.f64 b b))) (-.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 b (cos.f64 a)) r)) (*.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 (*.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 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (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 (/.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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 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 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r a)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r a) (*.f64 (/.f64 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 (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 (*.f64 -1/2 (*.f64 r (sin.f64 b))) (cos.f64 b)))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
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(fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 r r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r r)))
(fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 r r))) (/.f64 (*.f64 r r) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4)) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.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)))) r)) (cos.f64 b))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 a (pow.f64 r 2))) (pow.f64 (cos.f64 b) 3))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 2))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 4) (*.f64 r r))) (*.f64 -2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 r (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (/.f64 (*.f64 -1/2 (*.f64 r (sin.f64 b))) (cos.f64 b)))))))) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 a (*.f64 r r)))) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r r)))))
(fma.f64 (*.f64 a a) (fma.f64 -2 (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 b) r) (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r)))) (/.f64 (*.f64 (*.f64 r r) (pow.f64 (sin.f64 b) 4)) (pow.f64 (cos.f64 b) 4))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 r r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r r))))
(fma.f64 (*.f64 a a) (fma.f64 -2 (*.f64 (/.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (cos.f64 b) r))) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 3) r))) (cos.f64 b)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (*.f64 r r))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 r r))) (/.f64 (*.f64 r r) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2)))))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4)) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.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)))) r)) (cos.f64 b))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 a (pow.f64 r 2))) (pow.f64 (cos.f64 b) 3))) (+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (+.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)))) r)) (pow.f64 (cos.f64 b) 2))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (+.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))))) r)) (cos.f64 b)))) (pow.f64 a 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 2)))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 4) (*.f64 r r))) (*.f64 -2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 r (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (/.f64 (*.f64 -1/2 (*.f64 r (sin.f64 b))) (cos.f64 b)))))))) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 a (*.f64 r r)))) (fma.f64 (*.f64 -2 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (/.f64 (*.f64 -1/2 (*.f64 r (sin.f64 b))) (cos.f64 b))))) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) (*.f64 r (+.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 r (sin.f64 b))) (cos.f64 b))))) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) -1/3)))) (cos.f64 b)))) (pow.f64 a 3) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r r))))))
(fma.f64 (*.f64 a a) (fma.f64 -2 (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 b) r) (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r)))) (/.f64 (*.f64 (*.f64 r r) (pow.f64 (sin.f64 b) 4)) (pow.f64 (cos.f64 b) 4))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 r r))) (fma.f64 (pow.f64 a 3) (*.f64 -2 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r)))) (/.f64 (*.f64 r (*.f64 (sin.f64 b) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) r) -1/3 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r)))))) (cos.f64 b)))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r r)))))
(fma.f64 a (*.f64 a (fma.f64 -2 (*.f64 (/.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (cos.f64 b) r))) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 3) r))) (cos.f64 b)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (*.f64 r r)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r r) (fma.f64 (*.f64 (pow.f64 a 3) -2) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r (fma.f64 -1/2 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)))) (*.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (fma.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) -1/3 (/.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (cos.f64 b) r))) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 3) r))) (cos.f64 b))))) (*.f64 (/.f64 2 (pow.f64 (cos.f64 b) 3)) (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 a (*.f64 r r)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 r r)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6))))
0.5b
(cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6)))
0.8b
(pow.f64 (cos.f64 (+.f64 b a)) 6)
3.0b
(cos.f64 (+.f64 b a))
Compiler

Compiled 54 to 22 computations (59.3% saved)

series13.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
b
@0
(pow.f64 (cos.f64 (+.f64 b a)) 6)
2.0ms
a
@0
(pow.f64 (cos.f64 (+.f64 b a)) 6)
1.0ms
b
@-inf
(pow.f64 (cos.f64 (+.f64 b a)) 6)
1.0ms
a
@-inf
(pow.f64 (cos.f64 (+.f64 b a)) 6)
1.0ms
a
@inf
(pow.f64 (cos.f64 (+.f64 b a)) 6)

rewrite83.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
655×log-prod_binary64
601×prod-diff_binary64
240×expm1-udef_binary64
240×log1p-udef_binary64
233×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01339
128329
2383329
Stop Event
node limit
Counts
3 → 144
Calls
Call 1
Inputs
(pow.f64 (cos.f64 (+.f64 b a)) 6)
(cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6))))
Outputs
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simplify84.0ms (0.5%)

Algorithm
egg-herbie
Rules
522×associate-+l+_binary64
372×times-frac_binary64
327×associate-/l*_binary64
265×associate-*r*_binary64
256×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02152184
17472048
230851971
Stop Event
node limit
Counts
228 → 198
Calls
Call 1
Inputs
(pow.f64 (cos.f64 a) 6)
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (*.f64 (pow.f64 (cos.f64 a) 3) b))) (pow.f64 (cos.f64 a) 6))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (*.f64 (pow.f64 (cos.f64 a) 3) b))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (cos.f64 a)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (*.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (pow.f64 (cos.f64 a) 3))) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) 2)) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 6)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (*.f64 (pow.f64 (cos.f64 a) 3) b))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))))) (+.f64 (*.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (cos.f64 a)) (*.f64 1/3 (*.f64 (sin.f64 a) (cos.f64 a))))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 (cos.f64 a) 3))) (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (cos.f64 a)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (*.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))))) (pow.f64 b 3)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (cos.f64 a)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (*.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (pow.f64 (cos.f64 a) 3))) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) 2)) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 6))))
(pow.f64 (cos.f64 (+.f64 a b)) 6)
(pow.f64 (cos.f64 (+.f64 a b)) 6)
(pow.f64 (cos.f64 (+.f64 a b)) 6)
(pow.f64 (cos.f64 (+.f64 a b)) 6)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 6)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 6)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 6)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 6)
(pow.f64 (cos.f64 b) 6)
(+.f64 (pow.f64 (cos.f64 b) 6) (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 b) 3) (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))) (pow.f64 (cos.f64 b) 3))) a))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 b) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 b))) (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (pow.f64 (cos.f64 b) 3))) (pow.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))) 2)) (pow.f64 a 2)) (+.f64 (pow.f64 (cos.f64 b) 6) (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 b) 3) (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))) (pow.f64 (cos.f64 b) 3))) a)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 b) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 b))) (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (pow.f64 (cos.f64 b) 3))) (pow.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))) 2)) (pow.f64 a 2)) (+.f64 (pow.f64 (cos.f64 b) 6) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 b) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 b))) (*.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))) (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)))) (+.f64 (*.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (cos.f64 b)) (*.f64 1/3 (*.f64 (sin.f64 b) (cos.f64 b))))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (pow.f64 (cos.f64 b) 3))))) (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 b) 3) (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))) (pow.f64 (cos.f64 b) 3))) a))))
(pow.f64 (cos.f64 (+.f64 a b)) 6)
(pow.f64 (cos.f64 (+.f64 a b)) 6)
(pow.f64 (cos.f64 (+.f64 a b)) 6)
(pow.f64 (cos.f64 (+.f64 a b)) 6)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 6)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 6)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 6)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 6)
(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))))
Outputs
(pow.f64 (cos.f64 a) 6)
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (*.f64 (pow.f64 (cos.f64 a) 3) b))) (pow.f64 (cos.f64 a) 6))
(fma.f64 2 (*.f64 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) (*.f64 (pow.f64 (cos.f64 a) 3) b)) (pow.f64 (cos.f64 a) 6))
(fma.f64 2 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 -3 (*.f64 (pow.f64 (cos.f64 a) 3) b))) (pow.f64 (cos.f64 a) 6))
(fma.f64 2 (*.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (sin.f64 a) -3)) (*.f64 (pow.f64 (cos.f64 a) 3) b)) (pow.f64 (cos.f64 a) 6))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (*.f64 (pow.f64 (cos.f64 a) 3) b))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (cos.f64 a)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (*.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (pow.f64 (cos.f64 a) 3))) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) 2)) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 6)))
(fma.f64 2 (*.f64 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) (*.f64 (pow.f64 (cos.f64 a) 3) b)) (fma.f64 (fma.f64 2 (*.f64 (pow.f64 (cos.f64 a) 3) (fma.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (cos.f64 a) (fma.f64 2 (*.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (cos.f64 a) 3) -1/2)))) (pow.f64 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) 2)) (*.f64 b b) (pow.f64 (cos.f64 a) 6)))
(fma.f64 2 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 -3 (*.f64 (pow.f64 (cos.f64 a) 3) b))) (fma.f64 (fma.f64 2 (*.f64 (pow.f64 (cos.f64 a) 3) (+.f64 (*.f64 (pow.f64 (cos.f64 a) 3) -1/2) (*.f64 (cos.f64 a) (+.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 2 (pow.f64 (sin.f64 a) 2)))))) (pow.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (sin.f64 a) -3)) 2)) (*.f64 b b) (pow.f64 (cos.f64 a) 6)))
(fma.f64 2 (*.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (sin.f64 a) -3)) (*.f64 (pow.f64 (cos.f64 a) 3) b)) (fma.f64 (fma.f64 2 (*.f64 (pow.f64 (cos.f64 a) 3) (+.f64 (*.f64 (pow.f64 (cos.f64 a) 3) -1/2) (*.f64 (cos.f64 a) (-.f64 (pow.f64 (sin.f64 a) 2) (-.f64 (pow.f64 (cos.f64 a) 2) (*.f64 2 (pow.f64 (sin.f64 a) 2))))))) (*.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 4)) 9)) (*.f64 b b) (pow.f64 (cos.f64 a) 6)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (*.f64 (pow.f64 (cos.f64 a) 3) b))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))))) (+.f64 (*.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (cos.f64 a)) (*.f64 1/3 (*.f64 (sin.f64 a) (cos.f64 a))))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 (cos.f64 a) 3))) (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (cos.f64 a)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (*.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))))) (pow.f64 b 3)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (cos.f64 a)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (*.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (pow.f64 (cos.f64 a) 3))) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) 2)) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 6))))
(fma.f64 2 (*.f64 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) (*.f64 (pow.f64 (cos.f64 a) 3) b)) (fma.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 (cos.f64 a) 3) (fma.f64 -1 (*.f64 (sin.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2)))) (fma.f64 (cos.f64 a) (*.f64 4/3 (*.f64 (cos.f64 a) (sin.f64 a))) (*.f64 7/6 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) (fma.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (cos.f64 a) (fma.f64 2 (*.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (cos.f64 a) 3) -1/2)))))) (pow.f64 b 3) (fma.f64 (fma.f64 2 (*.f64 (pow.f64 (cos.f64 a) 3) (fma.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (cos.f64 a) (fma.f64 2 (*.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (*.f64 (pow.f64 (cos.f64 a) 3) -1/2)))) (pow.f64 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) 2)) (*.f64 b b) (pow.f64 (cos.f64 a) 6))))
(fma.f64 2 (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 -3 (*.f64 (pow.f64 (cos.f64 a) 3) b))) (fma.f64 (*.f64 2 (fma.f64 (pow.f64 (cos.f64 a) 3) (-.f64 (fma.f64 7/6 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 4/3 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (*.f64 (sin.f64 a) (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)))) (*.f64 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 -3 (+.f64 (*.f64 (pow.f64 (cos.f64 a) 3) -1/2) (*.f64 (cos.f64 a) (+.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 2 (pow.f64 (sin.f64 a) 2))))))))) (pow.f64 b 3) (fma.f64 (fma.f64 2 (*.f64 (pow.f64 (cos.f64 a) 3) (+.f64 (*.f64 (pow.f64 (cos.f64 a) 3) -1/2) (*.f64 (cos.f64 a) (+.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 2 (pow.f64 (sin.f64 a) 2)))))) (pow.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (sin.f64 a) -3)) 2)) (*.f64 b b) (pow.f64 (cos.f64 a) 6))))
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(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.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 (*.f64 (*.f64 (sin.f64 a) r) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (*.f64 b b) r))))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b 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 (*.f64 (sin.f64 a) 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 (*.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 (*.f64 b b) r))) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r)) (pow.f64 (cos.f64 a) 3))) (*.f64 (/.f64 r (cos.f64 a)) b)))
(+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r))) (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)) (*.f64 (/.f64 r (cos.f64 a)) 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 (*.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 (*.f64 (sin.f64 a) r) (*.f64 b b)) (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 (*.f64 (pow.f64 (sin.f64 a) 2) r) (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 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a)) (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) -1/3)) (pow.f64 b 4))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (*.f64 b b) r))) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r)) (pow.f64 (cos.f64 a) 3))) (*.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 (*.f64 (pow.f64 (sin.f64 a) 2) r)) (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 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (*.f64 (/.f64 r (cos.f64 a)) b)) (-.f64 (*.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 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (*.f64 b r)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 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 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r)))
(+.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) 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 a r))) (fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r)) (*.f64 a (*.f64 a (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (/.f64 r (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 (sin.f64 b) 3))))))))
(+.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (*.f64 (-.f64 (/.f64 (*.f64 -1/2 r) (/.f64 (cos.f64 b) (sin.f64 b))) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 3)) (pow.f64 (sin.f64 b) 3))) (neg.f64 (*.f64 a 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 a r))) (fma.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (*.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 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r)) (-.f64 (-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 a (*.f64 a (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (/.f64 r (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 (sin.f64 b) 3))))))) (*.f64 (pow.f64 a 3) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) r) -1/3 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (/.f64 r (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 (sin.f64 b) 3)))))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) a) (-.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (*.f64 a a) (+.f64 (*.f64 (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 (*.f64 -1/2 r) (/.f64 (cos.f64 b) (sin.f64 b))) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 3)) (pow.f64 (sin.f64 b) 3))))) a) (-.f64 (/.f64 (*.f64 -1/2 r) (/.f64 (cos.f64 b) (sin.f64 b))) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 3)) (pow.f64 (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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (cos.f64 (+.f64 a b))) (sin.f64 b))

eval1.3s (7.1%)

Compiler

Compiled 34698 to 10654 computations (69.3% saved)

prune354.0ms (1.9%)

Pruning

80 alts after pruning (73 fresh and 7 done)

PrunedKeptTotal
New1123321155
Fresh284169
Picked101
Done178
Total1153801233
Error
0.0b
Counts
1233 → 80
Alt Table
Click to see full alt table
StatusErrorProgram
38.6b
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
23.4b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
40.4b
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (-.f64 b a))))) (sin.f64 b))
40.3b
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
0.4b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))) (sin.f64 b))
22.9b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 b) 3)))
48.2b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))
53.9b
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
23.9b
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
23.9b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
31.4b
(*.f64 (/.f64 r (cos.f64 a)) b)
30.6b
(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
47.1b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 a))
1.3b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
0.4b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a))))) (sin.f64 b))
45.4b
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) -2))
15.1b
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
14.4b
(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
28.9b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 a) 3)))
22.9b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
44.9b
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) -2))
14.7b
(/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))))
14.7b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)) (*.f64 r (sin.f64 b)))
14.4b
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
46.0b
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r)) -2))
38.4b
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
30.2b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))
0.3b
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
0.4b
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
0.4b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3))) (sin.f64 b))
28.8b
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
23.2b
(*.f64 (/.f64 r (fma.f64 (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
28.8b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
17.2b
(*.f64 (/.f64 r (fma.f64 (*.f64 (cos.f64 a) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
39.8b
(*.f64 r b)
33.5b
(/.f64 r (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
0.4b
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
14.4b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
22.9b
(*.f64 (/.f64 1 (cos.f64 b)) (*.f64 r (sin.f64 b)))
42.6b
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) -2))
28.4b
(*.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (sin.f64 b))
0.4b
(*.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
53.9b
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
14.7b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (*.f64 r (sin.f64 b)))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
43.9b
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (-.f64 b a))) 2)) (sin.f64 b))
0.4b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
15.0b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3) (sin.f64 b))
24.0b
(/.f64 r (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 a a)) (/.f64 (cos.f64 b) (sin.f64 b))) a))
15.0b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
28.8b
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
31.4b
(*.f64 (/.f64 b (cos.f64 a)) r)
59.8b
(/.f64 (neg.f64 r) a)
14.7b
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (-.f64 b a))) 3)) (sin.f64 b))
0.4b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
22.8b
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
0.9b
(/.f64 r (/.f64 (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))) (sin.f64 b)))
40.3b
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
49.7b
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
36.9b
(/.f64 r (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
0.4b
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3)))) (sin.f64 b))
14.5b
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))
31.6b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 b) 6))))
22.9b
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
28.8b
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
31.8b
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
22.8b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
31.5b
(/.f64 r (/.f64 (cos.f64 a) b))
0.4b
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
34.1b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 a) 6))))
0.6b
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) 3)))
0.3b
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
31.5b
(/.f64 b (/.f64 (cos.f64 a) r))
14.4b
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
53.9b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (neg.f64 r))
31.3b
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
22.9b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
16.2b
(*.f64 (/.f64 r (fma.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
31.3b
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
29.1b
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
Compiler

Compiled 1253 to 839 computations (33% saved)

regimes1.1s (5.9%)

Counts
176 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.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) (cos.f64 (+.f64 b a))) (neg.f64 r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(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)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.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 (fma.f64 (pow.f64 b 3) -1/6 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) -2))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) -2))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 b) 3)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 a) 3)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (-.f64 b a))))) (sin.f64 b))
(/.f64 r (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))) (sin.f64 b))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (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 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (sin.f64 b))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (-.f64 b a))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (-.f64 b a))) 3)) (sin.f64 b))
(/.f64 r (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (sin.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)) (sin.f64 b))
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 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)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(*.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r)) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)) (*.f64 r (sin.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (*.f64 r (sin.f64 b)))
(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -1/2) b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(/.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 -1/2 (*.f64 b b)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 b) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 a) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 b a)))))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (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) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(/.f64 r (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 a a)) (/.f64 (cos.f64 b) (sin.f64 b))) a))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 a a)) 1) (cbrt.f64 (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(/.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 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3)))) (sin.f64 b))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) 3)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.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)) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a)))))))
(/.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 r (/.f64 (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))) (sin.f64 b)))
(/.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 (fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (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 r (fma.f64 (*.f64 (cos.f64 a) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (*.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
(*.f64 (/.f64 r (fma.f64 (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
(/.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 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (*.f64 (*.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (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 (cbrt.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 a))) (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)) (*.f64 (cbrt.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
(/.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)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))
(/.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 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1 (*.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))))) 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)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))))
Outputs
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
Calls

5 calls:

292.0ms
b
263.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
167.0ms
a
162.0ms
r
117.0ms
(/.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)))
0.3b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 2735 to 792 computations (71% saved)

regimes502.0ms (2.7%)

Counts
139 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.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) (cos.f64 (+.f64 b a))) (neg.f64 r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(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)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.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 (fma.f64 (pow.f64 b 3) -1/6 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) -2))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) -2))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 b) 3)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 a) 3)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (-.f64 b a))))) (sin.f64 b))
(/.f64 r (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))) (sin.f64 b))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (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 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (sin.f64 b))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (-.f64 b a))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (-.f64 b a))) 3)) (sin.f64 b))
(/.f64 r (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (sin.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)) (sin.f64 b))
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 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)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(*.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r)) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)) (*.f64 r (sin.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (*.f64 r (sin.f64 b)))
(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -1/2) b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(/.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 -1/2 (*.f64 b b)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 b) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 a) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 b a)))))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (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) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(/.f64 r (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 a a)) (/.f64 (cos.f64 b) (sin.f64 b))) a))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 a a)) 1) (cbrt.f64 (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
Calls

5 calls:

95.0ms
r
95.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
88.0ms
b
86.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
73.0ms
a
Results
ErrorSegmentsBranch
0.3b1r
0.3b1a
0.3b1b
0.3b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
0.3b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1628 to 500 computations (69.3% saved)

regimes687.0ms (3.7%)

Counts
138 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.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) (cos.f64 (+.f64 b a))) (neg.f64 r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(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)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.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 (fma.f64 (pow.f64 b 3) -1/6 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) -2))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) -2))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 b) 3)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 a) 3)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (-.f64 b a))))) (sin.f64 b))
(/.f64 r (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))) (sin.f64 b))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (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 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (sin.f64 b))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (-.f64 b a))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (-.f64 b a))) 3)) (sin.f64 b))
(/.f64 r (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (sin.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)) (sin.f64 b))
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 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)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(*.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r)) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)) (*.f64 r (sin.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (*.f64 r (sin.f64 b)))
(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -1/2) b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(/.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 -1/2 (*.f64 b b)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 b) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 a) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 b a)))))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (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) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(/.f64 r (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 a a)) (/.f64 (cos.f64 b) (sin.f64 b))) a))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 a a)) 1) (cbrt.f64 (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
Calls

5 calls:

166.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
157.0ms
b
118.0ms
a
104.0ms
r
91.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
ErrorSegmentsBranch
0.4b1r
0.4b1a
0.4b1b
0.4b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
0.4b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1612 to 496 computations (69.2% saved)

regimes617.0ms (3.3%)

Counts
137 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.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) (cos.f64 (+.f64 b a))) (neg.f64 r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(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)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.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 (fma.f64 (pow.f64 b 3) -1/6 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) -2))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) -2))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 b) 3)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 a) 3)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (-.f64 b a))))) (sin.f64 b))
(/.f64 r (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))) (sin.f64 b))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (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 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (sin.f64 b))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (-.f64 b a))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (-.f64 b a))) 3)) (sin.f64 b))
(/.f64 r (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (sin.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)) (sin.f64 b))
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 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)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(*.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r)) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)) (*.f64 r (sin.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (*.f64 r (sin.f64 b)))
(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -1/2) b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(/.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 -1/2 (*.f64 b b)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 b) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 a) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 b a)))))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (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) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(/.f64 r (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 a a)) (/.f64 (cos.f64 b) (sin.f64 b))) a))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 a a)) 1) (cbrt.f64 (cos.f64 b))) 3) (*.f64 a (sin.f64 b))))
Outputs
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
Calls

5 calls:

122.0ms
r
117.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
116.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
103.0ms
a
86.0ms
b
Results
ErrorSegmentsBranch
0.4b1r
0.4b1a
0.4b1b
0.4b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
0.4b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1596 to 491 computations (69.2% saved)

regimes537.0ms (2.9%)

Counts
131 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.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) (cos.f64 (+.f64 b a))) (neg.f64 r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(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)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.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 (fma.f64 (pow.f64 b 3) -1/6 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) -2))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) -2))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 b) 3)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 a) 3)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (-.f64 b a))))) (sin.f64 b))
(/.f64 r (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))) (sin.f64 b))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (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 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (sin.f64 b))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (-.f64 b a))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (-.f64 b a))) 3)) (sin.f64 b))
(/.f64 r (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (sin.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)) (sin.f64 b))
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 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)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(*.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r)) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)) (*.f64 r (sin.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (*.f64 r (sin.f64 b)))
(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -1/2) b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(/.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 -1/2 (*.f64 b b)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 b) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 a) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 b a)))))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (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) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
Calls

5 calls:

114.0ms
b
99.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
97.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
83.0ms
a
74.0ms
r
Results
ErrorSegmentsBranch
0.4b1r
0.4b1a
0.4b1b
0.4b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
0.4b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1487 to 470 computations (68.4% saved)

regimes507.0ms (2.7%)

Counts
127 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.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) (cos.f64 (+.f64 b a))) (neg.f64 r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(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)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.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 (fma.f64 (pow.f64 b 3) -1/6 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) -2))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) -2))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 b) 3)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 a) 3)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (-.f64 b a))))) (sin.f64 b))
(/.f64 r (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))) (sin.f64 b))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (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 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (sin.f64 b))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (-.f64 b a))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (-.f64 b a))) 3)) (sin.f64 b))
(/.f64 r (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (sin.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)) (sin.f64 b))
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 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)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(*.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r)) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)) (*.f64 r (sin.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (*.f64 r (sin.f64 b)))
(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -1/2) b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(/.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 -1/2 (*.f64 b b)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 b) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 a) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 b a)))))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
Outputs
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
Calls

5 calls:

110.0ms
b
100.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
90.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
78.0ms
r
78.0ms
a
Results
ErrorSegmentsBranch
0.4b1r
0.4b1a
0.4b1b
0.4b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
0.4b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1423 to 463 computations (67.5% saved)

regimes642.0ms (3.5%)

Counts
126 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.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) (cos.f64 (+.f64 b a))) (neg.f64 r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(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)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.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 (fma.f64 (pow.f64 b 3) -1/6 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) -2))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) -2))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 b) 3)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 a) 3)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (-.f64 b a))))) (sin.f64 b))
(/.f64 r (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))) (sin.f64 b))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (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 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (sin.f64 b))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (-.f64 b a))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (-.f64 b a))) 3)) (sin.f64 b))
(/.f64 r (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2)) (sin.f64 b))
(*.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (sin.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3) (sin.f64 b))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)) (sin.f64 b))
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 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)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(*.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r)) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)) (*.f64 r (sin.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (*.f64 r (sin.f64 b)))
(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -1/2) b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(/.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 -1/2 (*.f64 b b)) 1) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 b) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 a) 6))))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 6))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 b a)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Calls

5 calls:

169.0ms
b
125.0ms
a
100.0ms
r
76.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
74.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
ErrorSegmentsBranch
14.4b1r
14.4b1a
14.4b1b
14.4b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
14.4b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1407 to 458 computations (67.4% saved)

regimes73.0ms (0.4%)

Counts
38 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
Calls

3 calls:

22.0ms
b
22.0ms
r
22.0ms
a
Results
ErrorSegmentsBranch
14.4b1r
14.4b1a
14.4b1b
Compiler

Compiled 295 to 87 computations (70.5% saved)

regimes119.0ms (0.6%)

Counts
37 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
Outputs
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
Calls

3 calls:

53.0ms
b
34.0ms
a
24.0ms
r
Results
ErrorSegmentsBranch
14.4b1r
14.4b1a
14.4b1b
Compiler

Compiled 286 to 85 computations (70.3% saved)

regimes263.0ms (1.4%)

Counts
34 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
Outputs
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
Calls

3 calls:

108.0ms
r
82.0ms
a
65.0ms
b
Results
ErrorSegmentsBranch
20.1b4r
13.1b3a
14.3b3b
Compiler

Compiled 259 to 76 computations (70.7% saved)

bsearch185.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
88.0ms
2.8730953776777996e-8
79.86688634909905
96.0ms
-12071.683251395545
-5.109786255652485e-6
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes166.0ms (0.9%)

Counts
32 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
Outputs
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
Calls

3 calls:

57.0ms
r
54.0ms
b
49.0ms
a
Results
ErrorSegmentsBranch
20.4b4r
13.9b3a
14.3b3b
Compiler

Compiled 241 to 70 computations (71% saved)

bsearch154.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
78.0ms
2.8730953776777996e-8
79.86688634909905
75.0ms
-12071.683251395545
-5.109786255652485e-6
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes157.0ms (0.8%)

Counts
31 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
Outputs
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
Calls

3 calls:

59.0ms
r
47.0ms
b
44.0ms
a
Results
ErrorSegmentsBranch
20.4b4r
14.1b3a
14.3b3b
Compiler

Compiled 232 to 68 computations (70.7% saved)

bsearch215.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
113.0ms
2.8730953776777996e-8
79.86688634909905
102.0ms
-12071.683251395545
-5.109786255652485e-6
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes114.0ms (0.6%)

Counts
22 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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))
Outputs
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
Calls

3 calls:

41.0ms
r
36.0ms
b
29.0ms
a
Results
ErrorSegmentsBranch
20.4b4r
14.1b3a
14.3b3b
Compiler

Compiled 169 to 63 computations (62.7% saved)

bsearch142.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
78.0ms
2.8730953776777996e-8
79.86688634909905
64.0ms
-12071.683251395545
-5.109786255652485e-6
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes96.0ms (0.5%)

Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
Outputs
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
Calls

3 calls:

34.0ms
r
29.0ms
a
28.0ms
b
Results
ErrorSegmentsBranch
20.4b4r
14.1b3a
14.4b3b
Compiler

Compiled 141 to 59 computations (58.2% saved)

bsearch130.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
65.0ms
2.8730953776777996e-8
79.86688634909905
64.0ms
-12071.683251395545
-5.109786255652485e-6
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes60.0ms (0.3%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
Outputs
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
Calls

3 calls:

18.0ms
r
17.0ms
a
17.0ms
b
Results
ErrorSegmentsBranch
28.8b1r
28.8b1a
28.8b1b
Compiler

Compiled 127 to 54 computations (57.5% saved)

regimes39.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 (*.f64 b r) (fma.f64 -1/2 (*.f64 a a) 1))
Outputs
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
Calls

3 calls:

12.0ms
a
9.0ms
r
9.0ms
b
Results
ErrorSegmentsBranch
31.3b1r
31.3b1a
31.3b1b
Compiler

Compiled 120 to 51 computations (57.5% saved)

regimes27.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) -1/2 1)))
Outputs
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
Calls

3 calls:

8.0ms
a
8.0ms
b
7.0ms
r
Results
ErrorSegmentsBranch
31.3b1r
31.3b1a
31.3b1b
Compiler

Compiled 90 to 39 computations (56.7% saved)

regimes23.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
Outputs
(*.f64 (/.f64 r (cos.f64 a)) b)
Calls

3 calls:

7.0ms
r
7.0ms
b
6.0ms
a
Results
ErrorSegmentsBranch
31.4b1r
31.4b1a
31.4b1b
Compiler

Compiled 72 to 30 computations (58.3% saved)

regimes18.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
Outputs
(*.f64 (/.f64 b (cos.f64 a)) r)
Calls

3 calls:

6.0ms
a
5.0ms
r
5.0ms
b
Results
ErrorSegmentsBranch
31.4b1r
31.4b1a
31.4b1b
Compiler

Compiled 52 to 23 computations (55.8% saved)

regimes14.0ms (0.1%)

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

3 calls:

5.0ms
a
4.0ms
b
4.0ms
r
Results
ErrorSegmentsBranch
31.5b1r
31.5b1a
31.5b1b
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes12.0ms (0.1%)

Accuracy

Total -20.7b remaining (-51.9%)

Threshold costs -20.7b (-51.9%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
Outputs
(*.f64 r b)
Calls

3 calls:

4.0ms
r
3.0ms
b
3.0ms
a
Results
ErrorSegmentsBranch
39.8b1r
39.8b1a
39.8b1b
Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify25.0ms (0.1%)

Algorithm
egg-herbie
Rules
19×*-commutative_binary64
sub-neg_binary64
+-commutative_binary64
cancel-sign-sub-inv_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080504
1118504
2130504
3135504
4136504
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (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 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(if (<=.f64 a -829559756358637/68719476736) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))) (if (<=.f64 a 8683397960725341/302231454903657293676544) (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))))
(if (<=.f64 a -829559756358637/68719476736) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (if (<=.f64 a 8683397960725341/302231454903657293676544) (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -829559756358637/68719476736) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (if (<=.f64 a 8683397960725341/302231454903657293676544) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -829559756358637/68719476736) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) (if (<=.f64 a 8683397960725341/302231454903657293676544) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -829559756358637/68719476736) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) (if (<=.f64 a 8683397960725341/302231454903657293676544) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r b)
Outputs
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (-.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 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(if (<=.f64 a -829559756358637/68719476736) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))) (if (<=.f64 a 8683397960725341/302231454903657293676544) (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))))
(if (<=.f64 a -829559756358637/68719476736) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (if (<=.f64 a 8683397960725341/302231454903657293676544) (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -829559756358637/68719476736) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 8683397960725341/302231454903657293676544) (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -829559756358637/68719476736) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (if (<=.f64 a 8683397960725341/302231454903657293676544) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -829559756358637/68719476736) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 8683397960725341/302231454903657293676544) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -829559756358637/68719476736) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) (if (<=.f64 a 8683397960725341/302231454903657293676544) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -829559756358637/68719476736) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) (if (<=.f64 a 8683397960725341/302231454903657293676544) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -829559756358637/68719476736) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) (if (<=.f64 a 8683397960725341/302231454903657293676544) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -829559756358637/68719476736) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) (if (<=.f64 a 8683397960725341/302231454903657293676544) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r b)
Compiler

Compiled 385 to 229 computations (40.5% saved)

soundness68.0ms (0.4%)

Algorithm
egg-herbie
Rules
941×fma-def_binary64
632×associate-*l*_binary64
615×associate-*r*_binary64
356×times-frac_binary64
315×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11314
21714
32014
42114
01462131
14742036
215971960
Stop Event
node limit
saturated
Compiler

Compiled 187 to 123 computations (34.2% saved)

end127.0ms (0.7%)

Compiler

Compiled 325 to 86 computations (73.5% saved)

Profiling

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