Details

Time bar (total: 26.2s)

analyze416.0ms (1.6%)

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

Compiled 13 to 9 computations (30.8% saved)

sample2.7s (10.2%)

Results
1.6s3644×body1024valid
483.0ms3003×body256valid
416.0ms1430×body512valid
147.0ms179×body2048valid
Bogosity

preprocess146.0ms (0.6%)

Algorithm
egg-herbie
Rules
2050×rational.json-simplify-35
1858×rational.json-simplify-1
1054×rational.json-simplify-51
844×rational.json-simplify-2
842×rational.json-simplify-42
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025108
158108
291108
3149108
4281108
5576108
61429108
72558108
84221108
95529108
105981108
116489108
127177108
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 a (/.f64 (sin.f64 b) (cos.f64 (+.f64 r b))))
(*.f64 b (/.f64 (sin.f64 r) (cos.f64 (+.f64 a r))))
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 a (/.f64 (sin.f64 b) (cos.f64 (+.f64 r b))))
(*.f64 b (/.f64 (sin.f64 r) (cos.f64 (+.f64 a r))))
(*.f64 b (/.f64 (sin.f64 r) (cos.f64 (+.f64 r a))))
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify206.0ms (0.8%)

Algorithm
egg-herbie
Rules
2062×rational.json-simplify-1
1446×rational.json-simplify-35
1216×rational.json-simplify-26
1002×rational.json-simplify-48
928×rational.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
12227
23427
35527
410427
521227
651427
7139527
8254627
9403927
10475327
11524227
12607627
13647627
14788727
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))

eval1.0ms (0%)

Compiler

Compiled 21 to 12 computations (42.9% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
12.7b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
12.7b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 b)
0.2b
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
0.2b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
1.5b
(cos.f64 (+.f64 b a))
Compiler

Compiled 31 to 8 computations (74.2% saved)

series12.0ms (0%)

Counts
4 → 88
Calls

24 calls:

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

rewrite223.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
2002×rational.json-1
2002×rational.json-2
2002×rational.json-4
2002×rational.json-3
728×rational.json-simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01164
17964
220064
349164
4128264
5520464
Stop Event
node limit
Counts
4 → 259
Calls
Call 1
Inputs
(cos.f64 (+.f64 b a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 b a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 b a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (+.f64 b a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (+.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (+.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (cos.f64 (+.f64 b a)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (+.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) -2) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 0)))) (#(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 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 0)))) (#(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 (sin.f64 b) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (*.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 r) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (*.f64 1/2 (/.f64 2 r)))))) (#(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 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 2) (+.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 2) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 2) (*.f64 -2 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 2 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 r r) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 2 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (+.f64 (/.f64 1 r) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 2 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 2 r) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 4) (+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 4) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 4) (*.f64 4 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 4) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 4) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 4) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 4) (*.f64 -4 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 4) (/.f64 4 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 1 (sin.f64 b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (sin.f64 b)) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)) (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (*.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 2 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))) (+.f64 (/.f64 2 r) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))) (/.f64 4 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))) (*.f64 4 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))) (*.f64 2 (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 8) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 8) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 8) (*.f64 8 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 8) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) 8) 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*.f64 (*.f64 (sin.f64 b) 8) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 (sin.f64 b))) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 1/2) (/.f64 2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)) (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (neg.f64 (sin.f64 b)))))) (#(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 neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 b) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (sin.f64 b))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 b) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 b))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 b)))))))

simplify242.0ms (0.9%)

Algorithm
egg-herbie
Rules
1966×rational.json-simplify-35
1504×rational.json-simplify-61
1404×rational.json-simplify-46
796×rational.json-simplify-43
786×rational.json-simplify-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068110799
1215610229
2697410205
Stop Event
node limit
Counts
347 → 391
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 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
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b
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(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) 4)
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 r 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))
(/.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 -1 (sin.f64 b)))
(/.f64 (neg.f64 (+.f64 r r)) (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (-.f64 0 (/.f64 1 (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1)
(+.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(+.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (sin.f64 b)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) 1/2))
(*.f64 (sin.f64 b) (*.f64 (/.f64 2 (cos.f64 (+.f64 b a))) 1/2))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/2 (cos.f64 (+.f64 b a))))
(*.f64 -1 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 -1 (*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) 1))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) 2) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 2 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) 1/2)
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)))
(*.f64 (*.f64 (sin.f64 b) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) 4) (*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)) 1))
(*.f64 (*.f64 (sin.f64 b) 4) (*.f64 1/4 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (sin.f64 b))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) 1))
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 -1 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 1/2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 4 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 4)))
(*.f64 4 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 4))
(*.f64 (/.f64 (*.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))) 1/4)
(*.f64 (*.f64 (sin.f64 b) 8) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 8)))
(*.f64 1/2 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 2))
(*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) -2)))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) -1)
(*.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 1/2))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 (sin.f64 b))) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) 2)
(*.f64 1/4 (/.f64 (*.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(*.f64 (*.f64 (sin.f64 b) 1/2) (/.f64 2 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (neg.f64 (sin.f64 b)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(+.f64 (sin.f64 b) 0)
(+.f64 0 (sin.f64 b))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b))))
(-.f64 (sin.f64 b) 0)
(-.f64 0 (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) 1)
(*.f64 1 (sin.f64 b))
(*.f64 (*.f64 (sin.f64 b) 2) 1/2)
(*.f64 -1 (neg.f64 (sin.f64 b)))
(*.f64 2 (*.f64 (sin.f64 b) 1/2))
(*.f64 (*.f64 (sin.f64 b) 4) 1/4)
(*.f64 (neg.f64 (sin.f64 b)) -1)
(*.f64 4 (/.f64 (sin.f64 b) 4))
(*.f64 (*.f64 (sin.f64 b) 8) 1/8)
(*.f64 1/2 (*.f64 (sin.f64 b) 2))
(*.f64 (*.f64 (sin.f64 b) -2) -1/2)
(*.f64 1/4 (*.f64 (sin.f64 b) 4))
(*.f64 (*.f64 (sin.f64 b) 1/2) 2)
(/.f64 (sin.f64 b) 1)
(/.f64 (*.f64 (sin.f64 b) 2) 2)
(/.f64 (*.f64 (sin.f64 b) 4) 4)
(/.f64 (neg.f64 (sin.f64 b)) -1)
(/.f64 (*.f64 (sin.f64 b) 8) 8)
(/.f64 (*.f64 (sin.f64 b) -2) -2)
(/.f64 (*.f64 2 (*.f64 (sin.f64 b) 8)) 16)
(/.f64 (*.f64 4 (neg.f64 (sin.f64 b))) -4)
(/.f64 (neg.f64 (*.f64 (sin.f64 b) -2)) 2)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 b))) -1) 4)
(pow.f64 (sin.f64 b) 1)
(neg.f64 (neg.f64 (sin.f64 b)))
Outputs
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 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 (cos.f64 a) (*.f64 (pow.f64 b 2) -1/2))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (neg.f64 b)) (*.f64 (pow.f64 b 2) (*.f64 -1/2 (cos.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) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 (cos.f64 a) (*.f64 (pow.f64 b 2) -1/2)) (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) 1/6)))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (neg.f64 b)) (+.f64 (*.f64 (pow.f64 b 2) (*.f64 -1/2 (cos.f64 a))) (*.f64 (pow.f64 b 3) (*.f64 1/6 (sin.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 (neg.f64 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (cos.f64 b) (*.f64 -1 (*.f64 a (sin.f64 b))))
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))
(+.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 a (sin.f64 b))) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (cos.f64 b) (pow.f64 a 2)))))
(+.f64 (cos.f64 b) (+.f64 (*.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2)) (*.f64 (sin.f64 b) (neg.f64 a))))
(+.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2))))
(+.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 a (sin.f64 b))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 b) (pow.f64 a 2))) (+.f64 (cos.f64 b) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))))
(+.f64 (*.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2)) (+.f64 (+.f64 (cos.f64 b) (*.f64 (pow.f64 a 3) (*.f64 1/6 (sin.f64 b)))) (*.f64 (sin.f64 b) (neg.f64 a))))
(+.f64 (cos.f64 b) (+.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2))) (*.f64 (pow.f64 a 3) (*.f64 1/6 (sin.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 a -1)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 a -1)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 a -1)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 a -1)))
(cos.f64 (-.f64 b (neg.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (*.f64 (pow.f64 b 2) r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (*.f64 b (/.f64 r (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 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (*.f64 (*.f64 (pow.f64 b 2) r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (*.f64 (pow.f64 b 2) r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.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) (*.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))))))
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(*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
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(*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (*.f64 -2 (/.f64 -1/2 (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) -2)))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (*.f64 -2 (/.f64 -1/2 (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (*.f64 -2 (/.f64 -1/2 (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) -1)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 1/2))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 (sin.f64 b))) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 1/2 (sin.f64 b))) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(*.f64 (cos.f64 (+.f64 a b)) (*.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))))
(*.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (/.f64 1/2 (sin.f64 b)) (*.f64 2 (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(*.f64 2 (*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (/.f64 1/2 (sin.f64 b))))
(*.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) 2)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 1/4 (/.f64 (*.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(*.f64 (/.f64 2 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(*.f64 (/.f64 2 (sin.f64 b)) (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2))
(*.f64 (/.f64 2 (sin.f64 b)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (sin.f64 b)))))
(*.f64 (*.f64 (sin.f64 b) 1/2) (/.f64 2 (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(*.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (cos.f64 (+.f64 a b))))))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 4 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (*.f64 4 (/.f64 1/4 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (neg.f64 (sin.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(+.f64 (sin.f64 b) 0)
(sin.f64 b)
(+.f64 0 (sin.f64 b))
(sin.f64 b)
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b))))
(sin.f64 b)
(-.f64 (sin.f64 b) 0)
(sin.f64 b)
(-.f64 0 (neg.f64 (sin.f64 b)))
(sin.f64 b)
(*.f64 (sin.f64 b) 1)
(sin.f64 b)
(*.f64 1 (sin.f64 b))
(sin.f64 b)
(*.f64 (*.f64 (sin.f64 b) 2) 1/2)
(sin.f64 b)
(*.f64 -1 (neg.f64 (sin.f64 b)))
(sin.f64 b)
(*.f64 2 (*.f64 (sin.f64 b) 1/2))
(sin.f64 b)
(*.f64 (*.f64 (sin.f64 b) 4) 1/4)
(sin.f64 b)
(*.f64 (neg.f64 (sin.f64 b)) -1)
(sin.f64 b)
(*.f64 4 (/.f64 (sin.f64 b) 4))
(sin.f64 b)
(*.f64 (*.f64 (sin.f64 b) 8) 1/8)
(sin.f64 b)
(*.f64 1/2 (*.f64 (sin.f64 b) 2))
(sin.f64 b)
(*.f64 (*.f64 (sin.f64 b) -2) -1/2)
(sin.f64 b)
(*.f64 1/4 (*.f64 (sin.f64 b) 4))
(sin.f64 b)
(*.f64 (*.f64 (sin.f64 b) 1/2) 2)
(sin.f64 b)
(/.f64 (sin.f64 b) 1)
(sin.f64 b)
(/.f64 (*.f64 (sin.f64 b) 2) 2)
(sin.f64 b)
(/.f64 (*.f64 (sin.f64 b) 4) 4)
(sin.f64 b)
(/.f64 (neg.f64 (sin.f64 b)) -1)
(sin.f64 b)
(/.f64 (*.f64 (sin.f64 b) 8) 8)
(sin.f64 b)
(/.f64 (*.f64 (sin.f64 b) -2) -2)
(sin.f64 b)
(/.f64 (*.f64 2 (*.f64 (sin.f64 b) 8)) 16)
(sin.f64 b)
(/.f64 (*.f64 4 (neg.f64 (sin.f64 b))) -4)
(sin.f64 b)
(/.f64 (neg.f64 (*.f64 (sin.f64 b) -2)) 2)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 b))) -1) 4)
(sin.f64 b)
(pow.f64 (sin.f64 b) 1)
(sin.f64 b)
(neg.f64 (neg.f64 (sin.f64 b)))
(sin.f64 b)

eval170.0ms (0.6%)

Compiler

Compiled 8036 to 3482 computations (56.7% saved)

prune229.0ms (0.9%)

Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New35734391
Fresh000
Picked101
Done000
Total35834392
Error
10.9b
Counts
392 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
23.8b
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
12.8b
(/.f64 (/.f64 (*.f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 2 r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
23.9b
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
12.7b
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))
12.8b
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 (+.f64 b a)))
12.7b
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (sin.f64 b)))
22.9b
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (+.f64 r r)))
22.2b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
12.7b
(/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
12.8b
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1/2 (sin.f64 b)))
32.2b
(/.f64 (*.f64 b r) (cos.f64 a))
12.7b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
12.7b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
13.3b
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
13.4b
(/.f64 1/2 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 (sin.f64 b))) r))
32.4b
(+.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)))
12.7b
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r))))
33.3b
(*.f64 r (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a))))
23.5b
(*.f64 r (/.f64 (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)))))
25.7b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (+.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2))) (*.f64 (pow.f64 a 3) (*.f64 1/6 (sin.f64 b)))))))
23.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2))))))
23.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))))
31.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (neg.f64 b)) (*.f64 (pow.f64 b 2) (*.f64 -1/2 (cos.f64 a)))))))
30.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))))
22.2b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
29.5b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
32.3b
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
32.2b
(*.f64 r (/.f64 b (cos.f64 a)))
24.1b
(*.f64 r (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
32.4b
(*.f64 r (+.f64 (*.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 b (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))))
20.8b
(*.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
12.7b
(*.f64 r (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
20.8b
(*.f64 r (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (sin.f64 b))))
32.2b
(*.f64 b (/.f64 r (cos.f64 a)))
Compiler

Compiled 1308 to 818 computations (37.5% saved)

localize75.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 b)
0.2b
(/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
0.2b
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
1.5b
(cos.f64 (+.f64 b a))
Compiler

Compiled 44 to 20 computations (54.5% saved)

series6.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
r
@0
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
1.0ms
b
@inf
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
1.0ms
a
@-inf
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
1.0ms
b
@-inf
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
0.0ms
a
@inf
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))

rewrite74.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1656×exponential.json-3
1656×rational.json-1
1656×rational.json-2
1656×rational.json-4
1656×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01462
110662
230950
3105550
4485050
Stop Event
node limit
Counts
2 → 77
Calls
Call 1
Inputs
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
(/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 b a)) (*.f64 r 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 2 (/.f64 2 r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (+.f64 r r) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) r)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 r) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (+.f64 b a))) (-.f64 0 (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 r) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (*.f64 4 (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (*.f64 r 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a))))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (+.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 (*.f64 r 1/2) (/.f64 2 (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 2 (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 b)) (*.f64 (*.f64 r 1/2) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((x *.f64 (+.f64 r r) (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 r 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 2 (sin.f64 b)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 2 (sin.f64 b)) (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 8) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 r) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))) (/.f64 1 (*.f64 2 (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (*.f64 (sin.f64 b) 1/2)) (/.f64 2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (*.f64 r (*.f64 (sin.f64 b) 1/2)))))) (#(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 (/.f64 r (cos.f64 (+.f64 b a))) 2) (*.f64 2 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) -2) (/.f64 1 (neg.f64 (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 1/2) (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 2 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 2) (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 4 (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 2 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 1/2) (/.f64 4 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)))))

simplify158.0ms (0.6%)

Algorithm
egg-herbie
Rules
1060×rational.json-simplify-1
1026×rational.json-simplify-35
990×rational.json-simplify-2
954×rational.json-simplify-43
724×rational.json-simplify-53
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03065295
18145135
218745119
351985119
472855119
Stop Event
node limit
Counts
149 → 154
Calls
Call 1
Inputs
(*.f64 2 (/.f64 (cos.f64 a) r))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) b) r)))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) b) r)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 b) r))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) a) r)) (*.f64 2 (/.f64 (cos.f64 b) r)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) a) r)) (+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) a) r)) (+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)))))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.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 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 0)
(+.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 0)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r 1/2))
(/.f64 2 (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 1)
(/.f64 1 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 2 (/.f64 2 r))) 2)
(/.f64 4 (/.f64 (+.f64 r r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) r)
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 r) 4)) 4)
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (-.f64 0 (*.f64 r 1/2)))
(/.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 r) 4))) 8)
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (*.f64 4 (*.f64 r 1/2)))
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1/2)
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (*.f64 r 1/2)) 4)
(pow.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 1)
(+.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)
(+.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a))))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a))))))
(-.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)
(*.f64 2 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 (sin.f64 b) (+.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))
(*.f64 (sin.f64 b) (*.f64 (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) 1))
(*.f64 (sin.f64 b) (*.f64 (*.f64 r 1/2) (/.f64 2 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 2 (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2))
(*.f64 (*.f64 2 (sin.f64 b)) (*.f64 (*.f64 r 1/2) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(*.f64 1 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 2))
(*.f64 (*.f64 (sin.f64 b) 4) (*.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 2) 1))
(*.f64 (*.f64 (sin.f64 b) 4) (*.f64 1/2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 (*.f64 (sin.f64 b) 4) (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r 1/2)))
(*.f64 4 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 4))
(*.f64 4 (*.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 4) 1))
(*.f64 4 (*.f64 (*.f64 (sin.f64 b) 1/2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 4 (*.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 r 1/2)))
(*.f64 (+.f64 r r) (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(*.f64 (+.f64 r r) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 (sin.f64 b) 4))))
(*.f64 (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 r 1/2))
(*.f64 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a))))) 2)
(*.f64 -1 (/.f64 (*.f64 2 (sin.f64 b)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))
(*.f64 -1 (/.f64 (*.f64 2 (sin.f64 b)) (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))))
(*.f64 -1 (/.f64 (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 2 r))))
(*.f64 (*.f64 2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 1/2)
(*.f64 (*.f64 (sin.f64 b) 8) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 r) 4))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))) (/.f64 1 (*.f64 2 (/.f64 2 r))))
(*.f64 (*.f64 r 4) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 (sin.f64 b) 4))))
(*.f64 (*.f64 r 4) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (*.f64 r (*.f64 (sin.f64 b) 1/2)) (/.f64 2 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (*.f64 r (*.f64 (sin.f64 b) 1/2)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (*.f64 2 (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) -2) (/.f64 1 (neg.f64 (/.f64 2 r))))
(*.f64 (neg.f64 r) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))
(*.f64 (*.f64 r 1/2) (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) (sin.f64 b))
(*.f64 1/2 (*.f64 2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 1/2 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 2 (sin.f64 b)))))
(*.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 4) 4)
(*.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 2) (*.f64 (sin.f64 b) 4))
(*.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (+.f64 r r))
(*.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 4 (/.f64 2 r)))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 2 (*.f64 r (sin.f64 b))))
(*.f64 (*.f64 (sin.f64 b) 1/2) (/.f64 4 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(*.f64 (+.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) (sin.f64 b))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
Outputs
(*.f64 2 (/.f64 (cos.f64 a) r))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) b) r)))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (*.f64 -2 (*.f64 b (/.f64 (sin.f64 a) r))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (*.f64 -2 (*.f64 (sin.f64 a) (/.f64 b r))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 -2 (*.f64 b (/.f64 (sin.f64 a) r))) (*.f64 -1 (*.f64 (pow.f64 b 2) (/.f64 (cos.f64 a) r)))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (/.f64 b r))) (neg.f64 (*.f64 (cos.f64 a) (/.f64 (pow.f64 b 2) r)))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (/.f64 b r))) (neg.f64 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (/.f64 b r))) (*.f64 (cos.f64 a) (neg.f64 (/.f64 (pow.f64 b 2) r)))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) b) r)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 -2 (*.f64 b (/.f64 (sin.f64 a) r))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (/.f64 (cos.f64 a) r))) (*.f64 1/3 (*.f64 (pow.f64 b 3) (/.f64 (sin.f64 a) r))))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (neg.f64 (*.f64 (cos.f64 a) (/.f64 (pow.f64 b 2) r))) (+.f64 (*.f64 1/3 (*.f64 (sin.f64 a) (/.f64 (pow.f64 b 3) r))) (*.f64 -2 (*.f64 (sin.f64 a) (/.f64 b r))))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)) (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (/.f64 b r))) (*.f64 1/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (*.f64 (cos.f64 a) (neg.f64 (/.f64 (pow.f64 b 2) r))) (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (/.f64 b r))) (*.f64 1/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)))))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(*.f64 2 (/.f64 (cos.f64 b) r))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) a) r)) (*.f64 2 (/.f64 (cos.f64 b) r)))
(+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (*.f64 -2 (*.f64 a (/.f64 (sin.f64 b) r))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (*.f64 -2 (*.f64 (sin.f64 b) (/.f64 a r))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) a) r)) (+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r))))
(+.f64 (*.f64 -2 (*.f64 a (/.f64 (sin.f64 b) r))) (+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 b) (pow.f64 a 2)) r))))
(+.f64 (neg.f64 (*.f64 (cos.f64 b) (/.f64 (pow.f64 a 2) r))) (+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (*.f64 -2 (*.f64 (sin.f64 b) (/.f64 a r)))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (+.f64 (*.f64 -2 (*.f64 a (/.f64 (sin.f64 b) r))) (*.f64 (cos.f64 b) (neg.f64 (/.f64 (pow.f64 a 2) r)))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 b) a) r)) (+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)))))
(+.f64 (+.f64 (*.f64 -2 (*.f64 a (/.f64 (sin.f64 b) r))) (+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 b) (pow.f64 a 2)) r)))) (*.f64 1/3 (*.f64 (pow.f64 a 3) (/.f64 (sin.f64 b) r))))
(+.f64 (+.f64 (neg.f64 (*.f64 (cos.f64 b) (/.f64 (pow.f64 a 2) r))) (+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (*.f64 -2 (*.f64 (sin.f64 b) (/.f64 a r))))) (*.f64 1/3 (*.f64 (sin.f64 b) (/.f64 (pow.f64 a 3) r))))
(+.f64 (*.f64 -2 (*.f64 a (/.f64 (sin.f64 b) r))) (+.f64 (*.f64 (cos.f64 b) (neg.f64 (/.f64 (pow.f64 a 2) r))) (+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (*.f64 (/.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) 1/3)))))
(+.f64 (*.f64 2 (/.f64 (cos.f64 b) r)) (+.f64 (*.f64 (cos.f64 b) (neg.f64 (/.f64 (pow.f64 a 2) r))) (+.f64 (*.f64 -2 (*.f64 a (/.f64 (sin.f64 b) r))) (*.f64 (/.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) 1/3)))))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.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 r (cos.f64 a))) (/.f64 (*.f64 r (*.f64 (pow.f64 b 2) (sin.f64 a))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 (pow.f64 b 2) (/.f64 (*.f64 r (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 r (*.f64 (pow.f64 b 2) (sin.f64 a))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (/.f64 r (pow.f64 (cos.f64 a) 3))))))) (+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (+.f64 (*.f64 (pow.f64 b 2) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (neg.f64 r)))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (+.f64 (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))))) (*.f64 (pow.f64 b 4) -1))) (/.f64 (*.f64 r (*.f64 (pow.f64 b 2) (sin.f64 a))) (pow.f64 (cos.f64 a) 2))))
(+.f64 (*.f64 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (/.f64 r (pow.f64 (cos.f64 a) 3)))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (*.f64 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))) (+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (/.f64 r (pow.f64 (cos.f64 a) 3))))))))))
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(*.f64 2 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (+.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 (*.f64 r 1/2) (/.f64 2 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 2 (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 2 (sin.f64 b)) (*.f64 (*.f64 r 1/2) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 1 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) 4) (*.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 2) 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) 4) (*.f64 1/2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) 4) (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r 1/2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 4 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 4))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 4 (*.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 4) 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 4 (*.f64 (*.f64 (sin.f64 b) 1/2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 4 (*.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 r 1/2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (+.f64 r r) (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (+.f64 r r) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 (sin.f64 b) 4))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 r 1/2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a))))) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (*.f64 2 (sin.f64 b)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (*.f64 2 (sin.f64 b)) (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 2 r))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 1/2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) 8) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 r) 4))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))) (/.f64 1 (*.f64 2 (/.f64 2 r))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r 4) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 (sin.f64 b) 4))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r 4) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r (*.f64 (sin.f64 b) 1/2)) (/.f64 2 (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (*.f64 r (*.f64 (sin.f64 b) 1/2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (*.f64 2 (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))
(*.f64 (*.f64 -2 (sin.f64 b)) (/.f64 1 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 2 r)))))
(*.f64 -2 (*.f64 (sin.f64 b) (/.f64 (/.f64 r 2) (neg.f64 (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) -2)) (*.f64 -2 (sin.f64 b)))
(*.f64 (*.f64 (sin.f64 b) -2) (/.f64 1 (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))))
(*.f64 (*.f64 -2 (sin.f64 b)) (/.f64 1 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 2 r)))))
(*.f64 -2 (*.f64 (sin.f64 b) (/.f64 (/.f64 r 2) (neg.f64 (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) -2)) (*.f64 -2 (sin.f64 b)))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) -2) (/.f64 1 (neg.f64 (/.f64 2 r))))
(*.f64 (*.f64 -2 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 1 (neg.f64 (/.f64 2 r))))
(*.f64 -2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r 2) -1)))
(*.f64 -2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (*.f64 r -1/2)))
(*.f64 (neg.f64 r) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r 1/2) (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 1/2 (*.f64 2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 2 (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 4) 4)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 2) (*.f64 (sin.f64 b) 4))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (+.f64 r r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 4 (/.f64 2 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 2 (*.f64 r (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) 1/2) (/.f64 4 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (+.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 6 computations (66.7% saved)

series9.0ms (0%)

Counts
2 → 40
Calls

15 calls:

TimeVariablePointExpression
3.0ms
b
@0
(*.f64 b (/.f64 r (cos.f64 a)))
1.0ms
r
@0
(/.f64 r (cos.f64 a))
1.0ms
r
@0
(*.f64 b (/.f64 r (cos.f64 a)))
0.0ms
a
@0
(*.f64 b (/.f64 r (cos.f64 a)))
0.0ms
r
@inf
(/.f64 r (cos.f64 a))

rewrite153.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1782×rational.json-1
1782×rational.json-2
1782×rational.json-4
1782×rational.json-3
1774×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
16228
215828
339428
4102928
5464628
Stop Event
node limit
Counts
2 → 195
Calls
Call 1
Inputs
(/.f64 r (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 r (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 r 1/2) (cos.f64 a)) (/.f64 (*.f64 r 1/2) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 r (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (*.f64 2 (/.f64 1 (cos.f64 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (/.f64 2 (cos.f64 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 a) (/.f64 (/.f64 1 r) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))))) (#(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 (+.f64 r r) (/.f64 1/2 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 r (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 r (neg.f64 (cos.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 r r) (neg.f64 (*.f64 (cos.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 r 1/2) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 2 (cos.f64 a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (/.f64 1/2 (*.f64 (cos.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (*.f64 (/.f64 1/2 (*.f64 (cos.f64 a) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (*.f64 1/4 (/.f64 1 (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 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r)))))) 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r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 r (/.f64 2 (cos.f64 a)))) (/.f64 2 b)) (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r (/.f64 (cos.f64 a) (neg.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 r r) (/.f64 (cos.f64 a) (neg.f64 b))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r 4) (/.f64 (cos.f64 a) (neg.f64 b))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (cos.f64 a) (neg.f64 b))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (/.f64 1 r)) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 b b) (cos.f64 a)) (/.f64 2 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (neg.f64 (cos.f64 a))) (/.f64 -1 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1/2) (*.f64 (cos.f64 a) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 b b)) (-.f64 0 (*.f64 (cos.f64 a) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 b (cos.f64 a))) (-.f64 0 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) 1)))))

simplify149.0ms (0.6%)

Algorithm
egg-herbie
Rules
1688×rational.json-simplify-35
922×rational.json-simplify-51
778×rational.json-simplify-44
762×rational.json-simplify-61
672×rational.json-simplify-49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04745203
116585015
257294927
Stop Event
node limit
Counts
235 → 264
Calls
Call 1
Inputs
r
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) r)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)))) r))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)))) (+.f64 r (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 -1/720 r) (+.f64 (*.f64 1/48 r) (*.f64 1/2 (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r))))))))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b r)
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(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r)))))
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(/.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))
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(-.f64 (/.f64 r (cos.f64 a)) 0)
(*.f64 r (/.f64 1 (cos.f64 a)))
(*.f64 r (*.f64 (*.f64 2 (/.f64 1 (cos.f64 a))) 1/2))
(*.f64 r (*.f64 (/.f64 2 (cos.f64 a)) 1/2))
(*.f64 (cos.f64 a) (/.f64 (/.f64 1 r) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(*.f64 (/.f64 r (cos.f64 a)) 1)
(*.f64 1 (/.f64 r (cos.f64 a)))
(*.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 a)))
(*.f64 -1 (/.f64 r (neg.f64 (cos.f64 a))))
(*.f64 -1 (*.f64 (/.f64 r (neg.f64 (cos.f64 a))) 1))
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(*.f64 2 (/.f64 (*.f64 r 1/2) (cos.f64 a)))
(*.f64 (*.f64 r (/.f64 2 (cos.f64 a))) 1/2)
(*.f64 (*.f64 r 4) (/.f64 1/2 (*.f64 (cos.f64 a) 2)))
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(*.f64 (*.f64 r 4) (*.f64 (/.f64 1/2 (*.f64 (cos.f64 a) 2)) 1))
(*.f64 (*.f64 r 4) (*.f64 1/4 (/.f64 1 (cos.f64 a))))
(*.f64 (/.f64 1 (cos.f64 a)) r)
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(*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r)))))
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(*.f64 (*.f64 2 (/.f64 1 (cos.f64 a))) (*.f64 r 1/2))
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(*.f64 1/4 (*.f64 (/.f64 r (cos.f64 a)) 4))
(*.f64 (*.f64 r 1/2) (/.f64 2 (cos.f64 a)))
(*.f64 (/.f64 1/2 (*.f64 (cos.f64 a) 2)) (*.f64 r 4))
(*.f64 (/.f64 -1 (cos.f64 a)) (neg.f64 r))
(pow.f64 (/.f64 r (cos.f64 a)) 1)
(neg.f64 (/.f64 r (neg.f64 (cos.f64 a))))
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(/.f64 2 (*.f64 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)) 1))
(/.f64 (+.f64 b b) (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (*.f64 r (*.f64 2 (/.f64 b (cos.f64 a)))) 2)
(/.f64 (*.f64 r (/.f64 2 (cos.f64 a))) (/.f64 2 b))
(/.f64 (*.f64 r (/.f64 2 (cos.f64 a))) (+.f64 (/.f64 1 b) (/.f64 1 b)))
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(/.f64 (*.f64 r 4) (+.f64 (*.f64 (cos.f64 a) (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 2 b))))
(/.f64 (*.f64 r 4) (/.f64 (*.f64 (cos.f64 a) 4) b))
(/.f64 (*.f64 r 4) (*.f64 4 (/.f64 (cos.f64 a) b)))
(/.f64 (*.f64 r 4) (*.f64 (*.f64 (cos.f64 a) 4) (/.f64 1 b)))
(/.f64 (*.f64 r 4) (*.f64 2 (*.f64 (cos.f64 a) (/.f64 2 b))))
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(/.f64 (*.f64 r 4) (*.f64 -4 (/.f64 (cos.f64 a) (neg.f64 b))))
(/.f64 (*.f64 r 4) (/.f64 4 (/.f64 b (cos.f64 a))))
(/.f64 (/.f64 1 (cos.f64 a)) (/.f64 (/.f64 1 r) b))
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(/.f64 (neg.f64 r) (*.f64 (/.f64 (cos.f64 a) (neg.f64 b)) 1))
(/.f64 (neg.f64 r) (/.f64 (neg.f64 (*.f64 (cos.f64 a) 2)) (+.f64 b b)))
(/.f64 (neg.f64 r) (/.f64 -1 (/.f64 b (cos.f64 a))))
(/.f64 (/.f64 (cos.f64 a) r) (*.f64 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)) (/.f64 1 b)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) (*.f64 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r))) (/.f64 1 b)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) (*.f64 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)) (/.f64 2 b)))
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(/.f64 4 (/.f64 (*.f64 (/.f64 (cos.f64 a) r) 4) b))
(/.f64 4 (*.f64 (*.f64 (/.f64 (cos.f64 a) r) 4) (/.f64 1 b)))
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(/.f64 (*.f64 (/.f64 r (cos.f64 a)) (*.f64 b 4)) 4)
(/.f64 (*.f64 b 4) (*.f64 (/.f64 (cos.f64 a) r) 4))
(/.f64 (*.f64 b 4) (*.f64 (*.f64 (/.f64 (cos.f64 a) r) 4) 1))
(/.f64 (*.f64 (/.f64 r (cos.f64 a)) 4) (+.f64 (/.f64 2 b) (/.f64 2 b)))
(/.f64 (*.f64 (/.f64 r (cos.f64 a)) 4) (/.f64 4 b))
(/.f64 (*.f64 (/.f64 r (cos.f64 a)) 4) (*.f64 4 (/.f64 1 b)))
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(/.f64 (*.f64 r 8) (/.f64 (*.f64 (cos.f64 a) 8) b))
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(/.f64 1/2 (/.f64 (/.f64 (cos.f64 a) r) (+.f64 b b)))
(/.f64 1/2 (/.f64 (/.f64 1/2 r) (/.f64 b (cos.f64 a))))
(/.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (/.f64 1/2 r) b))
(/.f64 (*.f64 r -2) (+.f64 (/.f64 (cos.f64 a) (neg.f64 b)) (/.f64 (cos.f64 a) (neg.f64 b))))
(/.f64 (*.f64 r -2) (/.f64 (*.f64 (cos.f64 a) -2) b))
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(/.f64 (*.f64 b 1/2) (*.f64 (cos.f64 a) (/.f64 1/2 r)))
(/.f64 (*.f64 r (/.f64 (/.f64 b (cos.f64 a)) 2)) 1/2)
(/.f64 (neg.f64 (/.f64 r (cos.f64 a))) (/.f64 -1 b))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 (cos.f64 a) r)))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 (cos.f64 a) r)) 1))
(/.f64 (*.f64 4 (neg.f64 r)) (*.f64 (*.f64 2 (*.f64 (cos.f64 a) -2)) (/.f64 1 b)))
(/.f64 (*.f64 4 (neg.f64 r)) (*.f64 (*.f64 2 (neg.f64 (*.f64 (cos.f64 a) 2))) (/.f64 1 b)))
(/.f64 (*.f64 4 (neg.f64 r)) (*.f64 (neg.f64 (*.f64 (cos.f64 a) 4)) (/.f64 1 b)))
(/.f64 (*.f64 4 (neg.f64 r)) (*.f64 4 (/.f64 (cos.f64 a) (neg.f64 b))))
(/.f64 (neg.f64 (*.f64 r -2)) (*.f64 (cos.f64 a) (/.f64 2 b)))
(/.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (+.f64 (/.f64 1 r) (/.f64 1 r)))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 r (cos.f64 a)) (*.f64 b 4))) (*.f64 2 (*.f64 (/.f64 r (cos.f64 a)) (*.f64 b 4)))) 16)
(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (+.f64 (neg.f64 (/.f64 (cos.f64 a) r)) (neg.f64 (/.f64 (cos.f64 a) r))))
(/.f64 (/.f64 (*.f64 r 8) (/.f64 (cos.f64 a) b)) 8)
(/.f64 (/.f64 r (/.f64 1 b)) (cos.f64 a))
(/.f64 (/.f64 1 (/.f64 1 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 (+.f64 r r) (/.f64 1 b)) (*.f64 (cos.f64 a) 2))
(/.f64 (/.f64 -1 (/.f64 1 b)) (neg.f64 (/.f64 (cos.f64 a) r)))
(/.f64 (/.f64 2 (/.f64 1 b)) (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 1 b)) (*.f64 (cos.f64 a) 4))
(/.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 b)) (/.f64 1 r))
(/.f64 (/.f64 (neg.f64 r) (/.f64 1 b)) (neg.f64 (cos.f64 a)))
(/.f64 (/.f64 (/.f64 (cos.f64 a) r) (/.f64 1 b)) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)))
(/.f64 (/.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 1 b)) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (/.f64 4 (/.f64 1 b)) (*.f64 (/.f64 (cos.f64 a) r) 4))
(/.f64 (/.f64 (*.f64 r 8) (/.f64 1 b)) (*.f64 (cos.f64 a) 8))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 1 b)) (*.f64 (cos.f64 a) -2))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 1 b)) (neg.f64 (*.f64 (cos.f64 a) 2)))
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 r (cos.f64 a)) 4)) (/.f64 1 b)) 8)
(/.f64 (/.f64 (*.f64 2 (*.f64 r 8)) (/.f64 1 b)) (*.f64 2 (*.f64 (cos.f64 a) 8)))
(/.f64 (/.f64 (/.f64 r (neg.f64 (cos.f64 a))) (/.f64 1 b)) -1)
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 b)) (*.f64 2 (*.f64 (cos.f64 a) -2)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 b)) (*.f64 2 (neg.f64 (*.f64 (cos.f64 a) 2))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 b)) (neg.f64 (*.f64 (cos.f64 a) 4)))
(/.f64 (/.f64 (neg.f64 (*.f64 r -2)) (/.f64 1 b)) (*.f64 (cos.f64 a) 2))
(/.f64 (/.f64 (*.f64 2 (*.f64 b 4)) (/.f64 (cos.f64 a) r)) 8)
(/.f64 (/.f64 1 (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 1/2 r)))
(/.f64 (/.f64 (+.f64 r r) (/.f64 2 b)) (cos.f64 a))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 2 b)) (*.f64 (cos.f64 a) 2))
(/.f64 (/.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)))
(/.f64 (/.f64 4 (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 2 b)) (neg.f64 (cos.f64 a)))
(/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 a) r) 4) (/.f64 2 b)) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 r (/.f64 2 (cos.f64 a)))) (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) (neg.f64 b))) -1)
(/.f64 (/.f64 (+.f64 r r) (/.f64 (cos.f64 a) (neg.f64 b))) -2)
(/.f64 (/.f64 (*.f64 r 4) (/.f64 (cos.f64 a) (neg.f64 b))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (cos.f64 a) (neg.f64 b))) 4)
(/.f64 (/.f64 b (/.f64 1 r)) (cos.f64 a))
(/.f64 (/.f64 (+.f64 b b) (cos.f64 a)) (/.f64 2 r))
(/.f64 (/.f64 b (neg.f64 (cos.f64 a))) (/.f64 -1 r))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (neg.f64 (+.f64 b b)) (-.f64 0 (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (-.f64 0 (/.f64 1 r)))
(/.f64 (neg.f64 (neg.f64 b)) (/.f64 (cos.f64 a) r))
(pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) 1)
Outputs
r
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) r)
(+.f64 r (*.f64 (pow.f64 a 2) (*.f64 r 1/2)))
(+.f64 r (*.f64 r (*.f64 1/2 (pow.f64 a 2))))
(+.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 (pow.f64 a 4) (*.f64 (+.f64 (*.f64 r -1/4) (*.f64 r 1/24)) -1)) (+.f64 r (*.f64 (pow.f64 a 2) (*.f64 r 1/2))))
(+.f64 r (+.f64 (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 r -5/24))) (*.f64 r (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 r (+.f64 (*.f64 r (*.f64 1/2 (pow.f64 a 2))) (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 r -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))))))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 r 1/2)) (+.f64 r (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 r 1/48) (+.f64 (*.f64 1/2 (+.f64 (*.f64 r -1/4) (*.f64 r 1/24))) (*.f64 r -1/720))))) (*.f64 (pow.f64 a 4) (*.f64 (+.f64 (*.f64 r -1/4) (*.f64 r 1/24)) -1)))))
(+.f64 r (+.f64 (*.f64 -1 (+.f64 (*.f64 (pow.f64 a 4) (*.f64 r -5/24)) (*.f64 (pow.f64 a 6) (+.f64 (*.f64 r 1/48) (+.f64 (*.f64 r -1/720) (*.f64 1/2 (*.f64 r -5/24))))))) (*.f64 r (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 r (+.f64 (*.f64 r (*.f64 1/2 (pow.f64 a 2))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 a 4) (*.f64 r -5/24)) (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/2 (*.f64 r -5/24)) (*.f64 r 7/360)))))))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b r)
(*.f64 r b)
(+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))
(+.f64 (*.f64 r b) (*.f64 (pow.f64 a 2) (*.f64 (*.f64 r b) 1/2)))
(+.f64 (*.f64 r b) (*.f64 (pow.f64 a 2) (*.f64 1/2 (*.f64 r b))))
(*.f64 b (+.f64 r (*.f64 r (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r)))))
(+.f64 (+.f64 (*.f64 r b) (*.f64 (pow.f64 a 2) (*.f64 (*.f64 r b) 1/2))) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 r (*.f64 b -1/4)) (*.f64 b (*.f64 r 1/24))))))
(+.f64 (*.f64 r b) (+.f64 (*.f64 (pow.f64 a 2) (*.f64 1/2 (*.f64 r b))) (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 (*.f64 r b) -5/24)))))
(+.f64 (*.f64 b (+.f64 r (*.f64 r (*.f64 1/2 (pow.f64 a 2))))) (*.f64 (*.f64 b (*.f64 r -5/24)) (neg.f64 (pow.f64 a 4))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/48 (*.f64 r b)) (+.f64 (*.f64 -1/720 (*.f64 b r)) (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r)))))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))))
(+.f64 (*.f64 (pow.f64 a 6) (*.f64 (+.f64 (*.f64 r (*.f64 b 1/48)) (+.f64 (*.f64 -1/720 (*.f64 r b)) (*.f64 1/2 (+.f64 (*.f64 r (*.f64 b -1/4)) (*.f64 b (*.f64 r 1/24)))))) -1)) (+.f64 (+.f64 (*.f64 r b) (*.f64 (pow.f64 a 2) (*.f64 (*.f64 r b) 1/2))) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 r (*.f64 b -1/4)) (*.f64 b (*.f64 r 1/24)))))))
(+.f64 (*.f64 r b) (+.f64 (+.f64 (*.f64 (pow.f64 a 2) (*.f64 1/2 (*.f64 r b))) (*.f64 (pow.f64 a 6) (neg.f64 (+.f64 (*.f64 r (*.f64 b -1/720)) (+.f64 (*.f64 r (*.f64 1/48 b)) (*.f64 1/2 (*.f64 (*.f64 r b) -5/24))))))) (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 (*.f64 r b) -5/24)))))
(+.f64 (*.f64 b (+.f64 r (*.f64 r (*.f64 1/2 (pow.f64 a 2))))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/2 (*.f64 b (*.f64 r -5/24))) (*.f64 (*.f64 r b) 7/360))) (*.f64 (pow.f64 a 4) (*.f64 b (*.f64 r -5/24))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 r (cos.f64 a)) 0)
(/.f64 r (cos.f64 a))
(+.f64 0 (/.f64 r (cos.f64 a)))
(/.f64 r (cos.f64 a))
(+.f64 (/.f64 (*.f64 r 1/2) (cos.f64 a)) (/.f64 (*.f64 r 1/2) (cos.f64 a)))
(/.f64 r (cos.f64 a))
(-.f64 (/.f64 r (cos.f64 a)) 0)
(/.f64 r (cos.f64 a))
(*.f64 r (/.f64 1 (cos.f64 a)))
(/.f64 r (cos.f64 a))
(*.f64 r (*.f64 (*.f64 2 (/.f64 1 (cos.f64 a))) 1/2))
(*.f64 (*.f64 r 1/2) (*.f64 2 (/.f64 1 (cos.f64 a))))
(*.f64 r (*.f64 (/.f64 1 (cos.f64 a)) 1))
(*.f64 r (*.f64 (/.f64 2 (cos.f64 a)) 1/2))
(/.f64 r (cos.f64 a))
(*.f64 (cos.f64 a) (/.f64 (/.f64 1 r) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(*.f64 (cos.f64 a) (/.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (*.f64 r r))) r))
(*.f64 (cos.f64 a) (/.f64 (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (*.f64 r r))) (cos.f64 a)))
(*.f64 (cos.f64 a) (/.f64 (/.f64 (*.f64 r r) (*.f64 (cos.f64 a) (cos.f64 a))) r))
(*.f64 (/.f64 r (cos.f64 a)) 1)
(/.f64 r (cos.f64 a))
(*.f64 1 (/.f64 r (cos.f64 a)))
(/.f64 r (cos.f64 a))
(*.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 a)))
(*.f64 -1 (/.f64 r (neg.f64 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(*.f64 -1 (*.f64 (/.f64 r (neg.f64 (cos.f64 a))) 1))
(/.f64 r (cos.f64 a))
(*.f64 -1 (/.f64 (+.f64 r r) (neg.f64 (*.f64 (cos.f64 a) 2))))
(/.f64 r (cos.f64 a))
(*.f64 2 (/.f64 (*.f64 r 1/2) (cos.f64 a)))
(/.f64 r (cos.f64 a))
(*.f64 (*.f64 r (/.f64 2 (cos.f64 a))) 1/2)
(/.f64 r (cos.f64 a))
(*.f64 (*.f64 r 4) (/.f64 1/2 (*.f64 (cos.f64 a) 2)))
(*.f64 r (*.f64 4 (/.f64 1/2 (*.f64 2 (cos.f64 a)))))
(*.f64 r (*.f64 4 (/.f64 1/4 (cos.f64 a))))
(*.f64 (*.f64 r 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 a))))
(*.f64 1/2 (*.f64 (/.f64 1/2 (cos.f64 a)) (*.f64 r 4)))
(*.f64 1/2 (*.f64 r (*.f64 4 (/.f64 1/2 (cos.f64 a)))))
(*.f64 (*.f64 r 4) (*.f64 (/.f64 1/2 (*.f64 (cos.f64 a) 2)) 1))
(*.f64 r (*.f64 4 (/.f64 1/2 (*.f64 2 (cos.f64 a)))))
(*.f64 r (*.f64 4 (/.f64 1/4 (cos.f64 a))))
(*.f64 (*.f64 r 4) (*.f64 1/4 (/.f64 1 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 1 (cos.f64 a)) r)
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r)))
(/.f64 r (cos.f64 a))
(*.f64 (neg.f64 r) (/.f64 -1 (cos.f64 a)))
(/.f64 r (cos.f64 a))
(*.f64 (neg.f64 r) (*.f64 (/.f64 -1 (cos.f64 a)) 1))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(*.f64 (/.f64 (cos.f64 a) r) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (*.f64 r r))))
(*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (*.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))))
(*.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 r r) (*.f64 (cos.f64 a) (cos.f64 a))))
(*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r)))))
(*.f64 (/.f64 (cos.f64 a) r) (/.f64 (/.f64 2 (cos.f64 a)) (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 r))))
(*.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r)))))
(*.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 (/.f64 1 (/.f64 (cos.f64 a) r)) (*.f64 (cos.f64 a) (/.f64 2 r))))
(*.f64 (cos.f64 a) (*.f64 (/.f64 2 r) (/.f64 (/.f64 r (cos.f64 a)) (*.f64 (cos.f64 a) (/.f64 2 r)))))
(*.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 1/2 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(*.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 1/2 (*.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))))
(*.f64 (cos.f64 a) (*.f64 (/.f64 2 r) (/.f64 1/2 (*.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r))))))
(*.f64 4 (/.f64 r (*.f64 (cos.f64 a) 4)))
(/.f64 r (cos.f64 a))
(*.f64 4 (/.f64 (/.f64 r (cos.f64 a)) 4))
(/.f64 r (cos.f64 a))
(*.f64 (*.f64 (/.f64 r (cos.f64 a)) 4) 1/4)
(/.f64 r (cos.f64 a))
(*.f64 (*.f64 r 8) (/.f64 1 (*.f64 (cos.f64 a) 8)))
(/.f64 r (cos.f64 a))
(*.f64 1/2 (*.f64 r (/.f64 2 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(*.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (*.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))))
(*.f64 (/.f64 1 r) (/.f64 (*.f64 (cos.f64 a) 2) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r)))))
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(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 1 b)) (*.f64 (cos.f64 a) 4))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 b)) (/.f64 1 r))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (neg.f64 r) (/.f64 1 b)) (neg.f64 (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (/.f64 (cos.f64 a) r) (/.f64 1 b)) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)))
(/.f64 (/.f64 (cos.f64 a) r) (*.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r))) (/.f64 1 b)))
(/.f64 b (*.f64 (/.f64 r (cos.f64 a)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))))
(/.f64 r (/.f64 (/.f64 (cos.f64 a) r) (/.f64 b (/.f64 r (/.f64 (cos.f64 a) (cos.f64 a))))))
(/.f64 (/.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 1 b)) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r))))
(*.f64 (/.f64 2 r) (/.f64 (cos.f64 a) (*.f64 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r))) (/.f64 1 b))))
(*.f64 (cos.f64 a) (/.f64 (/.f64 2 r) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 2 r) (*.f64 (cos.f64 a) (/.f64 1 b))))))
(*.f64 (cos.f64 a) (/.f64 (/.f64 2 r) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 2 r) (/.f64 (cos.f64 a) b)))))
(/.f64 (/.f64 4 (/.f64 1 b)) (*.f64 (/.f64 (cos.f64 a) r) 4))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r 8) (/.f64 1 b)) (*.f64 (cos.f64 a) 8))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 1 b)) (*.f64 (cos.f64 a) -2))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 1 b)) (neg.f64 (*.f64 (cos.f64 a) 2)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 r (cos.f64 a)) 4)) (/.f64 1 b)) 8)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 2 (*.f64 r 8)) (/.f64 1 b)) (*.f64 2 (*.f64 (cos.f64 a) 8)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (/.f64 r (neg.f64 (cos.f64 a))) (/.f64 1 b)) -1)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 b)) (*.f64 2 (*.f64 (cos.f64 a) -2)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 b)) (*.f64 2 (neg.f64 (*.f64 (cos.f64 a) 2))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 b)) (neg.f64 (*.f64 (cos.f64 a) 4)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 r -2)) (/.f64 1 b)) (*.f64 (cos.f64 a) 2))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 2 (*.f64 b 4)) (/.f64 (cos.f64 a) r)) 8)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 1 (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 1/2 r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (+.f64 r r) (/.f64 2 b)) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 2 b)) (*.f64 (cos.f64 a) 2))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)))
(/.f64 (/.f64 (*.f64 (/.f64 2 r) (/.f64 (cos.f64 a) (/.f64 2 b))) (cos.f64 a)) (/.f64 (cos.f64 a) (*.f64 r r)))
(*.f64 (/.f64 2 r) (/.f64 (/.f64 (cos.f64 a) (*.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))) (/.f64 2 b)))
(/.f64 (/.f64 4 (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 2 r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 2 b)) (neg.f64 (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 a) r) 4) (/.f64 2 b)) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (*.f64 4 (/.f64 (cos.f64 a) r)) (*.f64 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r))) (/.f64 2 b)))
(/.f64 (*.f64 (/.f64 (cos.f64 a) r) (+.f64 b b)) (*.f64 (cos.f64 a) (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 r))))
(/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 r (/.f64 2 (cos.f64 a)))) (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) (/.f64 b (/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 r (/.f64 2 (cos.f64 a))))))))
(/.f64 r (/.f64 (cos.f64 a) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 b (/.f64 r (cos.f64 a))))))
(/.f64 (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 (/.f64 (cos.f64 a) r) (/.f64 (cos.f64 a) r)))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) (neg.f64 b))) -1)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (+.f64 r r) (/.f64 (cos.f64 a) (neg.f64 b))) -2)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 (cos.f64 a) (neg.f64 b))) -4)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (cos.f64 a) (neg.f64 b))) 4)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 b (/.f64 1 r)) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (+.f64 b b) (cos.f64 a)) (/.f64 2 r))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 b (neg.f64 (cos.f64 a))) (/.f64 -1 r))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 a) (/.f64 2 r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (neg.f64 (+.f64 b b)) (-.f64 0 (*.f64 (cos.f64 a) (/.f64 2 r))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (-.f64 0 (/.f64 1 r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (neg.f64 (neg.f64 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (cos.f64 a)))
(pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) 1)
(*.f64 b (/.f64 r (cos.f64 a)))

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 b)
0.2b
(/.f64 (cos.f64 (+.f64 b a)) r)
0.2b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
1.5b
(cos.f64 (+.f64 b a))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series3.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
b
@0
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
0.0ms
r
@-inf
(/.f64 (cos.f64 (+.f64 b a)) r)
0.0ms
a
@0
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
0.0ms
b
@0
(/.f64 (cos.f64 (+.f64 b a)) r)
0.0ms
a
@0
(/.f64 (cos.f64 (+.f64 b a)) r)

rewrite95.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1900×rational.json-1
1900×rational.json-2
1900×rational.json-3
1554×rational.json-simplify-35
906×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
18344
224644
374744
4259044
5669644
Stop Event
node limit
Counts
2 → 79
Calls
Call 1
Inputs
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) r)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 0)))) (#(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 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 r (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)) (*.f64 r 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))) (sin.f64 b))))) (#(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 neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 b a)) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1/2 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 1 r) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 r) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (/.f64 1 (*.f64 r 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 -1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 r)) (/.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 r) (*.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 r) 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 2 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 r 4)) (*.f64 (cos.f64 (+.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 r) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 r) (/.f64 1/2 r)) (cos.f64 (+.f64 b a)))))) (#(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 (cos.f64 (+.f64 b a)) (neg.f64 r)))))))

simplify175.0ms (0.7%)

Algorithm
egg-herbie
Rules
1010×rational.json-simplify-1
910×rational.json-simplify-51
710×rational.json-simplify-2
696×rational.json-simplify-35
688×rational.json-simplify-55
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02764869
16314709
213674707
337954653
461514653
Stop Event
node limit
Counts
151 → 165
Calls
Call 1
Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(+.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 0)
(+.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 0)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)
(*.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
(*.f64 (+.f64 r r) (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2))
(*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)) r))
(*.f64 -1 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(*.f64 2 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(*.f64 2 (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2))
(*.f64 2 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)) r))
(*.f64 2 (*.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)))
(*.f64 (*.f64 r (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a)))) 1/2)
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)))
(*.f64 (*.f64 r 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (neg.f64 r) (/.f64 -1 (/.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) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))
(*.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (*.f64 (sin.f64 b) 2))
(*.f64 1/2 (*.f64 r (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)) (+.f64 r r))
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2) (*.f64 (sin.f64 b) 2))
(*.f64 (/.f64 1 (/.f64 1 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) -1)
(*.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)
(*.f64 (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)) (*.f64 r 4))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (neg.f64 r))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))) (sin.f64 b))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(+.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)
(+.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))
(-.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)
(-.f64 0 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 r))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(*.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1/2 r))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 1 r) 1/2))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 1/2)
(*.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)))
(*.f64 2 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2))
(*.f64 2 (*.f64 (/.f64 1/2 r) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) 1/4)
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (/.f64 1 (*.f64 r 4)))
(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) -1)
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 -1 r))
(*.f64 (*.f64 2 (/.f64 1 r)) (/.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 1/2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(*.f64 (/.f64 1/2 r) (*.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (*.f64 (/.f64 1 r) 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)) 2)
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 2 (/.f64 1 r)))
(*.f64 1/4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4))
(*.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2) 2)
(*.f64 (/.f64 1 (*.f64 r 4)) (*.f64 (cos.f64 (+.f64 b a)) 4))
(*.f64 (/.f64 -1 r) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (+.f64 (/.f64 1/2 r) (/.f64 1/2 r)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.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 r (cos.f64 a))) (/.f64 (*.f64 r (*.f64 (pow.f64 b 2) (sin.f64 a))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) (/.f64 r (pow.f64 (cos.f64 a) 2)))))
(*.f64 r (+.f64 (/.f64 b (cos.f64 a)) (*.f64 (pow.f64 b 2) (/.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 b (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 -1 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (/.f64 (*.f64 r (*.f64 (pow.f64 b 2) (sin.f64 a))) (pow.f64 (cos.f64 a) 2))))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (+.f64 (*.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (+.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) (/.f64 r (pow.f64 (cos.f64 a) 2)))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))))
(+.f64 (*.f64 r (+.f64 (/.f64 b (cos.f64 a)) (*.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 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))))))
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (neg.f64 r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(+.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)
(/.f64 (cos.f64 (+.f64 b a)) r)
(+.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(-.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)
(/.f64 (cos.f64 (+.f64 b a)) r)
(-.f64 0 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1/2 r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 1 r) 1/2))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 1/2)
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 2 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 2 (*.f64 (/.f64 1/2 r) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) 1/4)
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (/.f64 1 (*.f64 r 4)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) -1)
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 -1 r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (*.f64 2 (/.f64 1 r)) (/.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 1/2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 1/2 r) (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (*.f64 (/.f64 1 r) 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)) 2)
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 2 (/.f64 1 r)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 1/4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2) 2)
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 1 (*.f64 r 4)) (*.f64 (cos.f64 (+.f64 b a)) 4))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 -1 r) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (+.f64 (/.f64 1/2 r) (/.f64 1/2 r)) (cos.f64 (+.f64 b a)))
(*.f64 (cos.f64 (+.f64 b a)) (+.f64 (/.f64 1/2 r) (/.f64 1/2 r)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(/.f64 (cos.f64 (+.f64 b a)) r)
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (cos.f64 (+.f64 b a)) r)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1/2 (cos.f64 (+.f64 b a)))
0.2b
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
0.3b
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1/2 (sin.f64 b)))
1.5b
(cos.f64 (+.f64 b a))
Compiler

Compiled 47 to 20 computations (57.4% saved)

series10.0ms (0%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
a
@0
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
1.0ms
b
@0
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
1.0ms
r
@0
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
1.0ms
b
@0
(/.f64 1/2 (cos.f64 (+.f64 b a)))
1.0ms
a
@inf
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))

rewrite155.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1648×exponential.json-3
1648×rational.json-1
1648×rational.json-2
1648×rational.json-4
1648×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01479
110679
230967
3107567
4463667
Stop Event
node limit
Counts
3 → 122
Calls
Call 1
Inputs
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1/2 (sin.f64 b)))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 1/2 (cos.f64 (+.f64 b a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 b) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r (*.f64 (sin.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (*.f64 (sin.f64 b) 2)) (/.f64 1/2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 1/2 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 -1/2 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 4) (*.f64 1/2 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4)) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/4 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)) (*.f64 1/2 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 1 (*.f64 (/.f64 1/2 (sin.f64 b)) 4)))))) (#(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 1 (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2) (/.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2) (/.f64 1 (/.f64 -1/2 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (*.f64 (sin.f64 b) (/.f64 1/4 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 4) (*.f64 (sin.f64 b) (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (*.f64 (sin.f64 b) 4)) (/.f64 1/4 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 r 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 1/2) (*.f64 2 (/.f64 (sin.f64 b) (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 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (sin.f64 b)) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (cos.f64 (+.f64 b a))) (*.f64 r (*.f64 (sin.f64 b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sin.f64 b)) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/4 (cos.f64 (+.f64 b a)))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 r 1/2)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 1/4 (cos.f64 (+.f64 b a)))) (*.f64 r 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (*.f64 r 1/2)) (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1 (sin.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 1/2 (sin.f64 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 -1/2 (sin.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))) (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) r)) (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1/2 (sin.f64 b)) 4)) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 b)))) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1/2 (sin.f64 b))) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))) (*.f64 (sin.f64 b) 4))))) (#(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 +.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (*.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (*.f64 -1 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 2 (/.f64 1/2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1/2 (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 2 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 r r) (*.f64 (cos.f64 (+.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 r) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r 4) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r 4) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 r)) (+.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 4) (/.f64 2 (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r 1/2) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/4 (cos.f64 (+.f64 b a))) (/.f64 1/2 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 -1/2 (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 r r)) (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 r 1/2) (*.f64 r 1/2)) (*.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 r 1/2)) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/4 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (cos.f64 (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 1)))))

simplify148.0ms (0.6%)

Algorithm
egg-herbie
Rules
1888×rational.json-simplify-35
1310×rational.json-simplify-2
1180×rational.json-simplify-53
918×rational.json-simplify-41
910×rational.json-simplify-46
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04298752
111748352
229938220
360688212
Stop Event
node limit
Counts
218 → 258
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 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 a) (*.f64 b r)) (pow.f64 (cos.f64 a) 2))) (*.f64 1/2 (/.f64 r (cos.f64 a))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 a) (*.f64 b r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1/2 (*.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 1/2 (/.f64 r (cos.f64 a)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 a) (*.f64 b r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1/2 (*.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 (*.f64 -1/2 (*.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 1/2 (/.f64 r (cos.f64 a))))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b)))))
(*.f64 1/2 (/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b)))))
(*.f64 1/2 (/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b)))))
(*.f64 1/2 (/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b)))))
(*.f64 1/2 (/.f64 r (cos.f64 b)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) (*.f64 1/2 (/.f64 r (cos.f64 b))))
(+.f64 (*.f64 -1/2 (*.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 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) (*.f64 1/2 (/.f64 r (cos.f64 b)))))
(+.f64 (*.f64 -1/2 (*.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 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -1/2 (/.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)))))) (*.f64 1/2 (/.f64 r (cos.f64 b))))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 1/2 (/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a)))))
(*.f64 1/2 (/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a)))))
(*.f64 1/2 (/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a)))))
(*.f64 1/2 (/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a)))))
(/.f64 1/2 (cos.f64 a))
(+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2))))
(+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (cos.f64 a))) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2)) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (cos.f64 a))) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2))) (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 1/12 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/4 (/.f64 1 (cos.f64 a))) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))))))))))
(/.f64 1/2 (cos.f64 (+.f64 a b)))
(/.f64 1/2 (cos.f64 (+.f64 a b)))
(/.f64 1/2 (cos.f64 (+.f64 a b)))
(/.f64 1/2 (cos.f64 (+.f64 a b)))
(/.f64 1/2 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1/2 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1/2 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1/2 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1/2 (cos.f64 b))
(+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 b))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 b))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/4 (/.f64 1 (cos.f64 b))) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 b))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (-.f64 (*.f64 1/4 (/.f64 1 (cos.f64 b))) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b))) (+.f64 (*.f64 1/12 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (*.f64 -1/4 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/4 (/.f64 1 (cos.f64 b))) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2))))))
(/.f64 1/2 (cos.f64 (+.f64 a b)))
(/.f64 1/2 (cos.f64 (+.f64 a b)))
(/.f64 1/2 (cos.f64 (+.f64 a b)))
(/.f64 1/2 (cos.f64 (+.f64 a b)))
(/.f64 1/2 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1/2 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1/2 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1/2 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)
(+.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 1/2 (*.f64 (sin.f64 b) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r (*.f64 (sin.f64 b) 2)))
(*.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(*.f64 1 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) 2) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (*.f64 r (*.f64 (sin.f64 b) 2)) (/.f64 1/2 (cos.f64 (+.f64 b a))))
(*.f64 -1 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 1/2 (sin.f64 b)))))
(*.f64 -1 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 -1/2 (sin.f64 b))))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) r)))
(*.f64 (*.f64 (sin.f64 b) 4) (*.f64 1/2 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))))
(*.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4)) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))))
(*.f64 2 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(*.f64 2 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1 (sin.f64 b))))
(*.f64 2 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2))
(*.f64 (+.f64 r r) (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (+.f64 r r) (*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/4 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))) 1/2)
(*.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)) (*.f64 1/2 (sin.f64 b)))
(*.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 1 (*.f64 (/.f64 1/2 (sin.f64 b)) 4)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 r 1/2)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2) (/.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 b)))))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2) (/.f64 1 (/.f64 -1/2 (sin.f64 b))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (*.f64 r 4) (*.f64 (sin.f64 b) (/.f64 1/4 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 4) (*.f64 (sin.f64 b) (*.f64 r 1/2)))
(*.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))))
(*.f64 (*.f64 r (*.f64 (sin.f64 b) 4)) (/.f64 1/4 (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 2 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 r 1/2))
(*.f64 (*.f64 r 1/2) (*.f64 2 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) 2)
(*.f64 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (sin.f64 b)) (+.f64 r r))
(*.f64 (/.f64 1/4 (cos.f64 (+.f64 b a))) (*.f64 r (*.f64 (sin.f64 b) 4)))
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))))
(*.f64 (*.f64 1/2 (sin.f64 b)) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/4 (cos.f64 (+.f64 b a)))) (+.f64 r r))
(*.f64 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 r 1/2)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (sin.f64 b) (/.f64 1/4 (cos.f64 (+.f64 b a)))) (*.f64 r 4))
(*.f64 (*.f64 (sin.f64 b) (*.f64 r 1/2)) (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 4))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)
(*.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1 (sin.f64 b))) 2)
(*.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 1/2 (sin.f64 b)))) -1)
(*.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 -1/2 (sin.f64 b))) -1)
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) r)) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 2))
(*.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)))
(*.f64 (/.f64 4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 1/2 (sin.f64 b)) 4)) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (/.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 b)))) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 1 (/.f64 -1/2 (sin.f64 b))) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (neg.f64 (sin.f64 b)))
(*.f64 (*.f64 1/2 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))) (*.f64 (sin.f64 b) 4))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(+.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 0)
(+.f64 0 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 0)
(-.f64 0 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))
(/.f64 r (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 r (*.f64 -1 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1 r))
(/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 2 (/.f64 1/2 r)))
(/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1/2 (*.f64 r 1/2)))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 1)
(/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)
(/.f64 -1 (*.f64 2 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 -1 (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 r 1/2)))
(/.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(/.f64 2 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) r))
(/.f64 (+.f64 r r) (*.f64 (cos.f64 (+.f64 b a)) 4))
(/.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)) 4)
(/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 r))
(/.f64 (neg.f64 r) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 -1/2 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2) -1)
(/.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 4 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (*.f64 r 1/2)))
(/.f64 (*.f64 2 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))) 8)
(/.f64 (*.f64 r 4) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) 4)))
(/.f64 (*.f64 r 4) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) 4))
(/.f64 (*.f64 2 (neg.f64 r)) (+.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(/.f64 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 4) (/.f64 2 (*.f64 r 1/2)))
(/.f64 (*.f64 r 1/2) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 1/4 (cos.f64 (+.f64 b a))) (/.f64 1/2 r))
(/.f64 (neg.f64 (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 -1/2 (*.f64 r 1/2)))
(/.f64 (neg.f64 (+.f64 r r)) (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) 4)))
(/.f64 (+.f64 (*.f64 r 1/2) (*.f64 r 1/2)) (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 2) 1/2)
(/.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2) 2) -1/2)
(/.f64 (/.f64 (*.f64 r 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2)) 1/2)
(/.f64 (neg.f64 (*.f64 r 1/2)) (neg.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 1)
(neg.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))
(+.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 0)
(+.f64 0 (/.f64 1/2 (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 0)
(*.f64 1/2 (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 1)
(*.f64 1 (/.f64 1/2 (cos.f64 (+.f64 b a))))
(*.f64 2 (/.f64 1/4 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1/2)
(*.f64 (/.f64 1/4 (cos.f64 (+.f64 b a))) 2)
(pow.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 1)
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
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(*.f64 (/.f64 1 (*.f64 (/.f64 1/2 (sin.f64 b)) 4)) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 1 (*.f64 4 (/.f64 1/2 (sin.f64 b)))))
(*.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 1/4 (/.f64 1/2 (sin.f64 b))))
(*.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 1/4 (/.f64 1/2 (sin.f64 b))))
(*.f64 (/.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 b)))) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) -2)) (/.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 b)))))
(*.f64 (/.f64 (/.f64 r -2) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) -1/2))
(*.f64 (/.f64 (*.f64 r -1/2) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) -1/2))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) -2)) (/.f64 (sin.f64 b) -1/2))
(*.f64 (/.f64 1 (/.f64 -1/2 (sin.f64 b))) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) -2)) (/.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 b)))))
(*.f64 (/.f64 (/.f64 r -2) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) -1/2))
(*.f64 (/.f64 (*.f64 r -1/2) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) -1/2))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) -2)) (/.f64 (sin.f64 b) -1/2))
(*.f64 (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)) (neg.f64 (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (neg.f64 (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (*.f64 1/2 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))) (*.f64 (sin.f64 b) 4))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(+.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 0)
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(+.f64 0 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(-.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 0)
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(-.f64 0 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 r (*.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 r (*.f64 -1 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1 r))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 2 (/.f64 1/2 r)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1/2 (*.f64 r 1/2)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 1)
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 -1 (*.f64 2 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 -1 (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 r 1/2)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 2 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) r))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (+.f64 r r) (*.f64 (cos.f64 (+.f64 b a)) 4))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)) 4)
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 r))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 r) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 -1/2 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2) -1)
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r 1/2))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) 2)))))
(/.f64 4 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (*.f64 r 1/2)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 2 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))) 8)
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r 4) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) 4)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r 4) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) 4))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 2 (neg.f64 r)) (+.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 4) (/.f64 2 (*.f64 r 1/2)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r 1/2) (cos.f64 (+.f64 b a)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 1/4 (cos.f64 (+.f64 b a))) (/.f64 1/2 r))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 -1/2 (*.f64 r 1/2)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (+.f64 r r)) (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) 4)))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (+.f64 (*.f64 r 1/2) (*.f64 r 1/2)) (*.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 2) 1/2)
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2) 2) -1/2)
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (*.f64 r 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2)) 1/2)
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 r 1/2)) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(pow.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 1)
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -2))
(*.f64 1/2 (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))
(+.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 0)
(/.f64 1/2 (cos.f64 (+.f64 b a)))
(+.f64 0 (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 1/2 (cos.f64 (+.f64 b a)))
(-.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 0)
(/.f64 1/2 (cos.f64 (+.f64 b a)))
(*.f64 1/2 (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 1)
(/.f64 1/2 (cos.f64 (+.f64 b a)))
(*.f64 1 (/.f64 1/2 (cos.f64 (+.f64 b a))))
(/.f64 1/2 (cos.f64 (+.f64 b a)))
(*.f64 2 (/.f64 1/4 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1/2)
(*.f64 1/2 (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1/4 (cos.f64 (+.f64 b a))) 2)
(*.f64 2 (/.f64 1/4 (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 1)
(/.f64 1/2 (cos.f64 (+.f64 b a)))

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (pow.f64 a 2) (cos.f64 b))
0.1b
(*.f64 (sin.f64 b) a)
0.3b
(/.f64 (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))))
3.8b
(*.f64 r (/.f64 (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)))))
Compiler

Compiled 113 to 57 computations (49.6% saved)

series26.0ms (0.1%)

Counts
4 → 60
Calls

27 calls:

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

rewrite360.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1574×rational.json-1
1574×rational.json-2
1574×rational.json-4
1574×rational.json-3
1566×exponential.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020164
1145160
2337152
3812152
42088152
55286152
Stop Event
node limit
Counts
4 → 113
Calls
Call 1
Inputs
(*.f64 r (/.f64 (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)))))
(/.f64 (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))))
(*.f64 (sin.f64 b) a)
(*.f64 (pow.f64 a 2) (cos.f64 b))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 1/2) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 4)) (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 b) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 b) a) 2) (/.f64 (*.f64 (sin.f64 b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 b) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (+.f64 a a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (*.f64 a 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 a 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 a 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) a) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 a 2) (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 2) (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (cos.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 1)))))

simplify221.0ms (0.8%)

Algorithm
egg-herbie
Rules
1600×rational.json-simplify-51
1318×rational.json-simplify-43
1110×rational.json-simplify-35
746×rational.json-simplify-41
598×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048413879
1147813789
2393713585
3646613377
Stop Event
node limit
Counts
173 → 250
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 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 (-.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 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 a 2)) 1/2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)))) (pow.f64 b 3)) (+.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 (-.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 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 a 2)) 1/2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)))) (pow.f64 b 3)) (+.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 (pow.f64 b 4) (+.f64 (/.f64 (*.f64 a (*.f64 (-.f64 (*.f64 1/4 (pow.f64 a 2)) 1/2) r)) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.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 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 a 2)) 1/2) r) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)))) a) (+.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))))))) (/.f64 (*.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (*.f64 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (sin.f64 b) r) (+.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 (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)))))
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(/.f64 (/.f64 r (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (/.f64 1 (sin.f64 b)))
(/.f64 1/2 (/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (sin.f64 b)) (+.f64 r r)))
(/.f64 1/2 (/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 (sin.f64 b) 2)) r))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 r (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(/.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (/.f64 (/.f64 1/2 (sin.f64 b)) r))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (/.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 2)) (+.f64 r r)))
(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (*.f64 r 4))) 8)
(/.f64 (*.f64 2 (*.f64 r 4)) (*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (sin.f64 b)) 4)))
(/.f64 (*.f64 r (/.f64 1/2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 r 4))) 4)
(/.f64 (/.f64 (*.f64 (sin.f64 b) 4) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (/.f64 4 r))
(/.f64 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (/.f64 -1 r))
(/.f64 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (/.f64 1 (+.f64 r r)))
(/.f64 (/.f64 r 2) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 (sin.f64 b) 2)))
(/.f64 (neg.f64 r) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (neg.f64 (sin.f64 b))))
(/.f64 (*.f64 2 (/.f64 r (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (*.f64 2 (/.f64 1 (sin.f64 b))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (*.f64 r 4)))) 16)
(/.f64 (*.f64 2 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (*.f64 r 4)))) 8)
(/.f64 (*.f64 2 (neg.f64 r)) (*.f64 2 (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (neg.f64 (sin.f64 b)))))
(/.f64 (/.f64 r 1/2) (*.f64 2 (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (sin.f64 b))))
(/.f64 (/.f64 r (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (/.f64 -1 (sin.f64 b)))
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(/.f64 (/.f64 (+.f64 r r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (/.f64 2 (sin.f64 b)))
(/.f64 (neg.f64 (+.f64 r r)) (neg.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (sin.f64 b)))))
(/.f64 (neg.f64 (/.f64 r (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (/.f64 -1 (sin.f64 b)))
(/.f64 (neg.f64 (neg.f64 r)) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (sin.f64 b)))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) 1)
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(+.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 0)
(+.f64 0 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(+.f64 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(-.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 0)
(-.f64 0 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 (sin.f64 b) (/.f64 1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(*.f64 -1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 1)
(*.f64 1 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 1/2))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 2)) 1/2)
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 4)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (sin.f64 b))
(*.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 2)))
(*.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (*.f64 (sin.f64 b) 2))
(*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 1/2) (*.f64 (sin.f64 b) 2))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) -1)
(*.f64 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) 2)
(*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 -1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (neg.f64 (sin.f64 b)))
(pow.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 1)
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(+.f64 (*.f64 (sin.f64 b) a) 0)
(+.f64 0 (*.f64 (sin.f64 b) a))
(+.f64 (/.f64 (*.f64 (sin.f64 b) a) 2) (/.f64 (*.f64 (sin.f64 b) a) 2))
(-.f64 (*.f64 (sin.f64 b) a) 0)
(/.f64 (*.f64 (sin.f64 b) a) 1)
(/.f64 (*.f64 (sin.f64 b) (+.f64 a a)) 2)
(/.f64 (*.f64 (sin.f64 b) (*.f64 a 4)) 4)
(/.f64 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 a 4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 a 4)))) 16)
(pow.f64 (*.f64 (sin.f64 b) a) 1)
(+.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 0)
(+.f64 0 (*.f64 (pow.f64 a 2) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 2) (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 2))
(-.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 0)
(/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 1)
(/.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (cos.f64 b))) 2)
(/.f64 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) 4)) 4)
(/.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) 4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) 4)))) 16)
(pow.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 1)
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 (sin.f64 b) (/.f64 r (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (cos.f64 b)))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
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(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(*.f64 1 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 1/2))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 2)) 1/2)
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 4)))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 4 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1/4 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(*.f64 (sin.f64 b) (*.f64 4 (/.f64 1/4 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (sin.f64 b))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(*.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 2)))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(*.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (*.f64 (sin.f64 b) 2))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 1/2) (*.f64 (sin.f64 b) 2))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) -1)
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) 2)
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 2 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 4 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1/4 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(*.f64 (sin.f64 b) (*.f64 4 (/.f64 1/4 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(*.f64 (/.f64 -1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (neg.f64 (sin.f64 b)))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(pow.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) 1)
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 b) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 a (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(+.f64 (*.f64 (sin.f64 b) a) 0)
(*.f64 (sin.f64 b) a)
(+.f64 0 (*.f64 (sin.f64 b) a))
(*.f64 (sin.f64 b) a)
(+.f64 (/.f64 (*.f64 (sin.f64 b) a) 2) (/.f64 (*.f64 (sin.f64 b) a) 2))
(*.f64 (sin.f64 b) a)
(-.f64 (*.f64 (sin.f64 b) a) 0)
(*.f64 (sin.f64 b) a)
(/.f64 (*.f64 (sin.f64 b) a) 1)
(*.f64 (sin.f64 b) a)
(/.f64 (*.f64 (sin.f64 b) (+.f64 a a)) 2)
(*.f64 (sin.f64 b) a)
(/.f64 (*.f64 (sin.f64 b) (*.f64 a 4)) 4)
(*.f64 (*.f64 a 4) (/.f64 (sin.f64 b) 4))
(*.f64 (sin.f64 b) (/.f64 (*.f64 a 4) 4))
(/.f64 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 a 4))) 8)
(*.f64 (*.f64 a 4) (/.f64 (sin.f64 b) 4))
(*.f64 (sin.f64 b) (/.f64 (*.f64 a 4) 4))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 a 4)))) 16)
(*.f64 (*.f64 a 4) (/.f64 (sin.f64 b) 4))
(*.f64 (sin.f64 b) (/.f64 (*.f64 a 4) 4))
(pow.f64 (*.f64 (sin.f64 b) a) 1)
(*.f64 (sin.f64 b) a)
(+.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 0)
(*.f64 (pow.f64 a 2) (cos.f64 b))
(+.f64 0 (*.f64 (pow.f64 a 2) (cos.f64 b)))
(*.f64 (pow.f64 a 2) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 2) (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 2))
(*.f64 (pow.f64 a 2) (cos.f64 b))
(-.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 0)
(*.f64 (pow.f64 a 2) (cos.f64 b))
(/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 1)
(*.f64 (pow.f64 a 2) (cos.f64 b))
(/.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (cos.f64 b))) 2)
(*.f64 (pow.f64 a 2) (cos.f64 b))
(/.f64 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) 4)) 4)
(*.f64 (pow.f64 a 2) (cos.f64 b))
(/.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) 4))) 8)
(*.f64 (pow.f64 a 2) (cos.f64 b))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) 4)))) 16)
(*.f64 (pow.f64 a 2) (cos.f64 b))
(pow.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) 1)
(*.f64 (pow.f64 a 2) (cos.f64 b))

eval985.0ms (3.8%)

Compiler

Compiled 34678 to 18564 computations (46.5% saved)

prune8.1s (31%)

Pruning

60 alts after pruning (58 fresh and 2 done)

PrunedKeptTotal
New1307431350
Fresh141529
Picked101
Done224
Total1324601384
Error
10.8b
Counts
1384 → 60
Alt Table
Click to see full alt table
StatusErrorProgram
23.8b
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
32.1b
(/.f64 (/.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 1/2 (sin.f64 b)))
23.9b
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
12.8b
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 (+.f64 b a)))
32.2b
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
32.2b
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
12.8b
(/.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) (/.f64 1/2 (sin.f64 b)))
32.8b
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
12.8b
(/.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 1/2 (sin.f64 b)))
33.4b
(/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) r))
22.2b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
30.5b
(/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (/.f64 2 r)))
22.2b
(/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
22.3b
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 b))) (/.f64 1/2 (sin.f64 b)))
29.5b
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
24.6b
(/.f64 (*.f64 r (*.f64 1/2 (+.f64 (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (/.f64 1 (cos.f64 b))))) (/.f64 1/2 (sin.f64 b)))
42.3b
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
32.3b
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
22.3b
(/.f64 (*.f64 1/2 (/.f64 r (cos.f64 b))) (/.f64 1/2 (sin.f64 b)))
23.5b
(/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) r))
25.7b
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 b) (+.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2))) (*.f64 (pow.f64 a 3) (*.f64 1/6 (sin.f64 b))))) r))
23.5b
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) r))
30.5b
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) r))
12.7b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
22.2b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
29.5b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
23.3b
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 b) r) (*.f64 (/.f64 (sin.f64 b) r) (neg.f64 a))))
30.5b
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
12.7b
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
23.6b
(/.f64 r (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (sin.f64 b)))
12.7b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
32.2b
(/.f64 r (/.f64 (cos.f64 a) b))
32.3b
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
32.2b
(/.f64 b (/.f64 (cos.f64 a) r))
32.8b
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
13.3b
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
32.8b
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
13.4b
(/.f64 1/2 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 (sin.f64 b))) r))
32.8b
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
56.7b
(*.f64 (/.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 r -2))
12.7b
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
23.0b
(*.f64 (/.f64 4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (sin.f64 b)))
12.7b
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))
23.0b
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
22.2b
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
23.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
23.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))))
31.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (neg.f64 b)) (*.f64 (pow.f64 b 2) (*.f64 -1/2 (cos.f64 a)))))))
30.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))))
22.2b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
29.5b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
32.3b
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
32.2b
(*.f64 r (/.f64 b (cos.f64 a)))
12.7b
(*.f64 r (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
41.8b
(*.f64 r b)
42.2b
(*.f64 b (/.f64 (/.f64 (neg.f64 (cos.f64 a)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))) (neg.f64 r)))
42.2b
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
32.2b
(*.f64 b (/.f64 r (cos.f64 a)))
32.2b
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
32.2b
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
Compiler

Compiled 1873 to 1272 computations (32.1% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 b)
0.2b
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
0.2b
(/.f64 r (cos.f64 (+.f64 b a)))
1.5b
(cos.f64 (+.f64 b a))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series4.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
b
@0
(/.f64 r (cos.f64 (+.f64 b a)))
0.0ms
a
@0
(/.f64 r (cos.f64 (+.f64 b a)))
0.0ms
r
@-inf
(/.f64 r (cos.f64 (+.f64 b a)))
0.0ms
r
@inf
(/.f64 r (cos.f64 (+.f64 b a)))
0.0ms
b
@0
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))

rewrite103.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1990×rational.json-1
1990×rational.json-2
1990×rational.json-4
1990×rational.json-3
744×rational.json-simplify-44
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
17944
220044
348544
4125144
5525944
Stop Event
node limit
Counts
2 → 194
Calls
Call 1
Inputs
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Outputs
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a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 r r) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (*.f64 1/4 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (*.f64 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((x neg.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 0)))) (#(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 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 0)))) (#(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 r (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (*.f64 -1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (sin.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 1/2 (/.f64 2 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify152.0ms (0.6%)

Algorithm
egg-herbie
Rules
1830×rational.json-simplify-35
974×rational.json-simplify-51
808×rational.json-simplify-61
800×rational.json-simplify-49
780×rational.json-simplify-44
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05579878
118999474
263749408
Stop Event
node limit
Counts
266 → 299
Calls
Call 1
Inputs
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 a))
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(/.f64 4 (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) (sin.f64 b)))
(/.f64 4 (*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) (/.f64 1 (sin.f64 b))))
(/.f64 4 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 2 (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) 4) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4))
(/.f64 (*.f64 (sin.f64 b) 4) (*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) 1))
(/.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4) (+.f64 (/.f64 2 (sin.f64 b)) (/.f64 2 (sin.f64 b))))
(/.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4) (/.f64 4 (sin.f64 b)))
(/.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4) (*.f64 4 (/.f64 1 (sin.f64 b))))
(/.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4) (*.f64 2 (/.f64 2 (sin.f64 b))))
(/.f64 (*.f64 r 8) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 8) (sin.f64 b)))
(/.f64 (*.f64 r 8) (*.f64 8 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (*.f64 r 8) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) 8) (/.f64 1 (sin.f64 b))))
(/.f64 (*.f64 r 8) (*.f64 4 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4)) 4)
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))
(/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 1/2 r) (sin.f64 b)))
(/.f64 1/2 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 r)) (sin.f64 b)))
(/.f64 1/2 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r -2) (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r -2) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) -2) (sin.f64 b)))
(/.f64 (*.f64 r -2) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)) (sin.f64 b)))
(/.f64 (*.f64 r -2) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) -2) (/.f64 1 (sin.f64 b))))
(/.f64 (*.f64 r -2) (*.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 1 (sin.f64 b))))
(/.f64 (*.f64 r -2) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 2 (sin.f64 b))))
(/.f64 (*.f64 r -2) (*.f64 2 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2)))
(/.f64 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4))) 8)
(/.f64 (*.f64 2 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4)) (*.f64 8 (/.f64 1 (sin.f64 b))))
(/.f64 (*.f64 2 (*.f64 r 8)) (*.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) 8)) (/.f64 1 (sin.f64 b))))
(/.f64 (*.f64 2 (*.f64 (sin.f64 b) 4)) (+.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)))
(/.f64 (*.f64 2 (*.f64 (sin.f64 b) 4)) (*.f64 8 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1/2 r))
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) (*.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))) (/.f64 2 (sin.f64 b))))
(/.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 -1 (sin.f64 b)))
(/.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 -1 (/.f64 1 (sin.f64 b))))
(/.f64 (/.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 2 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1 (*.f64 (sin.f64 b) 2)))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 1/2 (/.f64 1 (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 r)))
(/.f64 (*.f64 (sin.f64 b) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))) 1/2)
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (sin.f64 b)) (*.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 1))
(/.f64 (*.f64 4 (neg.f64 r)) (*.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) -2)) (/.f64 1 (sin.f64 b))))
(/.f64 (*.f64 4 (neg.f64 r)) (*.f64 (*.f64 2 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))) (/.f64 1 (sin.f64 b))))
(/.f64 (*.f64 4 (neg.f64 r)) (*.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 4)) (/.f64 1 (sin.f64 b))))
(/.f64 (*.f64 4 (neg.f64 r)) (*.f64 4 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 r -2)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 -1 (sin.f64 b)))
(/.f64 (+.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (+.f64 (/.f64 1 r) (/.f64 1 r)))
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4))) (*.f64 2 (*.f64 (sin.f64 b) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4)))) 16)
(/.f64 (+.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 b))) (+.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a))) (/.f64 2 r))
(/.f64 (/.f64 (*.f64 r 8) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 8)
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 (+.f64 r r) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (/.f64 -1 (/.f64 1 (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (/.f64 2 (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) 4))
(/.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (sin.f64 b))) (/.f64 1 r))
(/.f64 (/.f64 (neg.f64 r) (/.f64 1 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 1 (sin.f64 b))) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))
(/.f64 (/.f64 4 (/.f64 1 (sin.f64 b))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4))
(/.f64 (/.f64 (*.f64 r 8) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) 8))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) -2))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 1 (sin.f64 b))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4)) (/.f64 1 (sin.f64 b))) 8)
(/.f64 (/.f64 (*.f64 2 (*.f64 r 8)) (/.f64 1 (sin.f64 b))) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) 8)))
(/.f64 (/.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 1 (sin.f64 b))) -1)
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) -2)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (*.f64 2 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 4)))
(/.f64 (/.f64 (neg.f64 (*.f64 r -2)) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 b) 4)) (/.f64 (cos.f64 (+.f64 b a)) r)) 8)
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 r)))
(/.f64 (/.f64 (+.f64 r r) (/.f64 2 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 2 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) (/.f64 2 (sin.f64 b))) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))
(/.f64 (/.f64 (/.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 r (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -1)
(/.f64 (/.f64 (+.f64 r r) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -2)
(/.f64 (/.f64 (*.f64 r 4) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) 4)
(/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 -1 r))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) 2)) (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (-.f64 0 (/.f64 1 r)))
(pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)
Outputs
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 b (sin.f64 a)) (/.f64 r (pow.f64 (cos.f64 a) 2))))
(+.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 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 r (cos.f64 a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 -1 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 2)))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (pow.f64 b 2))) (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 b (sin.f64 a)) (/.f64 r (pow.f64 (cos.f64 a) 2)))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (pow.f64 b 2))) (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 b (sin.f64 a)) (/.f64 r (pow.f64 (cos.f64 a) 2)))))
(+.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 (/.f64 (*.f64 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) 2)) (+.f64 (+.f64 (/.f64 r (cos.f64 a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 -1 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 -1 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3)))))
(+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (pow.f64 b 2))) (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 b (sin.f64 a)) (/.f64 r (pow.f64 (cos.f64 a) 2))))) (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (*.f64 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 3))))
(+.f64 (/.f64 r (cos.f64 a)) (+.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 2)) (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (*.f64 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (pow.f64 b 3)))) (*.f64 (*.f64 b (sin.f64 a)) (/.f64 r (pow.f64 (cos.f64 a) 2)))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 b -1))))
(/.f64 r (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 b -1))))
(/.f64 r (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 b -1))))
(/.f64 r (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 b -1))))
(/.f64 r (cos.f64 (-.f64 a (neg.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 r (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 r a)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) (/.f64 (*.f64 r a) (pow.f64 (cos.f64 b) 2))))
(+.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 (*.f64 (sin.f64 b) (*.f64 r a)) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 r (cos.f64 b)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2)))))
(+.f64 (+.f64 (/.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) (/.f64 (*.f64 r a) (pow.f64 (cos.f64 b) 2)))) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 b))) (neg.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (neg.f64 (pow.f64 a 2))))
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(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4))) (*.f64 2 (*.f64 (sin.f64 b) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4)))) 16)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (+.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 b))) (+.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a))) (/.f64 2 r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 r 8) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 8)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (+.f64 r r) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 -1 (/.f64 1 (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 2 (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) 4))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (sin.f64 b))) (/.f64 1 r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (neg.f64 r) (/.f64 1 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))
(/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (/.f64 1 (sin.f64 b)))) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r))))
(/.f64 (/.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r))))
(/.f64 r (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 1 (sin.f64 b))) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))
(/.f64 (/.f64 (*.f64 (/.f64 2 r) (/.f64 (cos.f64 (+.f64 a b)) (/.f64 1 (sin.f64 b)))) 2) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 a b)))) (/.f64 r (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 1 (*.f64 r (cos.f64 (+.f64 a b)))))))
(*.f64 (/.f64 2 r) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))))
(/.f64 (/.f64 4 (/.f64 1 (sin.f64 b))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 r 8) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) 8))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) -2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 1 (sin.f64 b))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4)) (/.f64 1 (sin.f64 b))) 8)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 2 (*.f64 r 8)) (/.f64 1 (sin.f64 b))) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) 8)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 1 (sin.f64 b))) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) -2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (*.f64 2 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 4)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (neg.f64 (*.f64 r -2)) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 b) 4)) (/.f64 (cos.f64 (+.f64 b a)) r)) 8)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (+.f64 r r) (/.f64 2 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))
(*.f64 (/.f64 2 r) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r))) (/.f64 2 (sin.f64 b)))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))) (/.f64 (/.f64 2 r) (cos.f64 (+.f64 a b)))) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r)))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 2 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) (/.f64 2 (sin.f64 b))) (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))
(/.f64 (*.f64 4 (/.f64 (cos.f64 (+.f64 a b)) r)) (*.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r)))) (/.f64 2 (sin.f64 b))))
(/.f64 (sin.f64 b) (*.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 a b)) r)) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r)) (*.f64 2 (cos.f64 (+.f64 a b))))))
(/.f64 (/.f64 (/.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 a b)))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 2 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (/.f64 r r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 r (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (+.f64 r r) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -4)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) 4)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 -1 r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) 2)) (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (-.f64 0 (/.f64 1 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

localize4.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 43 to 28 computations (34.9% saved)

series3.0ms (0%)

Counts
4 → 76
Calls

21 calls:

TimeVariablePointExpression
0.0ms
a
@inf
(/.f64 1 (cos.f64 a))
0.0ms
a
@-inf
(/.f64 1 (cos.f64 a))
0.0ms
r
@-inf
(/.f64 1 (/.f64 1 r))
0.0ms
r
@inf
(/.f64 1 (/.f64 1 r))
0.0ms
a
@0
(/.f64 1 (cos.f64 a))

rewrite82.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1316×exponential.json-3
1316×rational.json-1
1316×rational.json-2
1316×rational.json-4
1316×rational.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352
110440
225440
365840
4326340
Stop Event
node limit
Counts
4 → 225
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 r))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r)))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(/.f64 1 (cos.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 r 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 r)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 r 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (*.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 r 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r r) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 r r)) (/.f64 r (/.f64 1 (*.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (/.f64 (/.f64 1 r) 2)) (/.f64 (/.f64 1 r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 r r)) (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r r) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (/.f64 1 (*.f64 r r))) (/.f64 1 (*.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 r 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 r) 2) (/.f64 r (/.f64 (/.f64 1 r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 r 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x . r)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 r (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 r (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 0 (*.f64 (cos.f64 a) (neg.f64 (/.f64 1 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 0 (*.f64 (/.f64 1 r) (neg.f64 (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 r) (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 1 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 r) (*.f64 (cos.f64 a) (/.f64 1 (*.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (*.f64 2 (/.f64 r r)) (*.f64 (/.f64 1 (cos.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (*.f64 2 (/.f64 r r)) (/.f64 2 (cos.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 a)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 a)) 1)))))

simplify205.0ms (0.8%)

Algorithm
egg-herbie
Rules
1818×rational.json-simplify-35
1080×rational.json-simplify-49
1024×rational.json-simplify-44
900×rational.json-simplify-47
708×rational.json-simplify-46
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05085177
118574743
271024731
Stop Event
node limit
Counts
301 → 308
Calls
Call 1
Inputs
r
r
r
r
r
r
r
r
r
r
r
r
r
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) r)
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(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
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(/.f64 r (cos.f64 a))
(/.f64 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 b r)
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(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
1
(+.f64 (*.f64 1/2 (pow.f64 a 2)) 1)
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(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (*.f64 5/24 (pow.f64 a 4)) (*.f64 61/720 (pow.f64 a 6)))))
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(*.f64 (+.f64 r r) 1/2)
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(*.f64 -1 (neg.f64 r))
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(*.f64 (neg.f64 r) -1)
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(*.f64 (/.f64 r (/.f64 (/.f64 1 r) 2)) (/.f64 (/.f64 1 r) 2))
(*.f64 (/.f64 2 (*.f64 r r)) (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))))
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(*.f64 1/4 (*.f64 r 4))
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(pow.f64 r 1)
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(/.f64 (*.f64 2 (/.f64 4 (cos.f64 a))) (*.f64 (/.f64 2 r) 4))
(/.f64 (*.f64 2 (neg.f64 (/.f64 1 (cos.f64 a)))) (*.f64 2 (neg.f64 (/.f64 1 r))))
(/.f64 (/.f64 8 (/.f64 1 r)) (*.f64 (*.f64 (cos.f64 a) 2) 4))
(/.f64 (/.f64 -2 (/.f64 1 r)) (*.f64 2 (neg.f64 (cos.f64 a))))
(/.f64 (/.f64 -2 (/.f64 1 r)) (neg.f64 (*.f64 (cos.f64 a) 2)))
(/.f64 (/.f64 (/.f64 2 r) (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 2 r)))
(/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r)
(/.f64 (/.f64 (*.f64 r 4) (cos.f64 a)) 4)
(/.f64 (/.f64 (neg.f64 r) (cos.f64 a)) -1)
(/.f64 (/.f64 8 (cos.f64 a)) (*.f64 (/.f64 2 r) 4))
(/.f64 (/.f64 -2 (cos.f64 a)) (*.f64 2 (neg.f64 (/.f64 1 r))))
(/.f64 (/.f64 -2 (cos.f64 a)) (neg.f64 (/.f64 2 r)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) 4) (/.f64 1 r)) 4)
(/.f64 (/.f64 (/.f64 1 r) (cos.f64 a)) (/.f64 1 (*.f64 r r)))
(/.f64 (/.f64 (*.f64 (+.f64 r r) (*.f64 r r)) (*.f64 (cos.f64 a) 2)) (*.f64 r r))
(/.f64 (/.f64 (*.f64 2 (/.f64 r r)) (*.f64 (cos.f64 a) 2)) (/.f64 1 r))
(/.f64 (/.f64 (cos.f64 a) (/.f64 1 r)) (*.f64 (cos.f64 a) (cos.f64 a)))
(/.f64 (/.f64 r (*.f64 (cos.f64 a) 2)) 1/2)
(/.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 2 r)) 1/2)
(/.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) 2) r) (/.f64 2 (*.f64 r r)))
(/.f64 (/.f64 (/.f64 1 (cos.f64 a)) r) (/.f64 1 (*.f64 r r)))
(/.f64 (/.f64 (/.f64 2 (cos.f64 a)) (/.f64 1 r)) 2)
(/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r)))
(/.f64 (/.f64 (/.f64 2 (cos.f64 a)) (+.f64 r r)) (/.f64 1 (*.f64 r r)))
(/.f64 (/.f64 (/.f64 4 (cos.f64 a)) 2) (/.f64 2 r))
(/.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 a)) 2)) (neg.f64 (/.f64 2 r)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 r r))) (-.f64 0 (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (neg.f64 (/.f64 2 (cos.f64 a))) (neg.f64 (/.f64 2 r)))
(/.f64 (neg.f64 (/.f64 -1 (cos.f64 a))) (/.f64 1 r))
(/.f64 (neg.f64 (/.f64 4 (cos.f64 a))) (neg.f64 (*.f64 (/.f64 1 r) 4)))
(/.f64 (neg.f64 (*.f64 r 4)) (neg.f64 (*.f64 (cos.f64 a) 4)))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (cos.f64 a)))) (/.f64 1 r))
(/.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 a)) 4)) (neg.f64 (*.f64 (/.f64 1 r) 4)))
(/.f64 (neg.f64 (/.f64 8 (/.f64 1 r))) (-.f64 0 (*.f64 (*.f64 (cos.f64 a) 2) 4)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 r))) (*.f64 (cos.f64 a) 2))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 r))) (-.f64 0 (*.f64 2 (neg.f64 (cos.f64 a)))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 r))) (-.f64 0 (neg.f64 (*.f64 (cos.f64 a) 2))))
(/.f64 (neg.f64 (*.f64 (/.f64 1 r) r)) (-.f64 0 (/.f64 (cos.f64 a) r)))
(/.f64 (neg.f64 (*.f64 2 (*.f64 r 4))) (-.f64 0 (*.f64 (*.f64 (cos.f64 a) 2) 4)))
(/.f64 (neg.f64 (/.f64 r (cos.f64 a))) (-.f64 0 (*.f64 (/.f64 1 r) r)))
(/.f64 (neg.f64 (/.f64 (/.f64 2 r) (cos.f64 a))) (-.f64 0 (*.f64 (/.f64 1 r) (/.f64 2 r))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 a)) 2))) (/.f64 2 r))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 a)) 2))) (-.f64 0 (neg.f64 (/.f64 2 r))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 (cos.f64 a)))) (neg.f64 (*.f64 (/.f64 1 r) 4)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 -1 (cos.f64 a)))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 r)))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 4 (cos.f64 a)))) (-.f64 0 (*.f64 (/.f64 2 r) 4)))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (/.f64 1 (cos.f64 a))))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 r)))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 r) (cos.f64 a))) (neg.f64 (/.f64 1 (*.f64 r r))))
(/.f64 (neg.f64 (/.f64 (*.f64 r r) (cos.f64 a))) (neg.f64 r))
(/.f64 (neg.f64 (/.f64 8 (cos.f64 a))) (-.f64 0 (*.f64 (/.f64 2 r) 4)))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 a))) (/.f64 2 r))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 a))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 r)))))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 a))) (-.f64 0 (neg.f64 (/.f64 2 r))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 r r) (*.f64 r r)) (*.f64 (cos.f64 a) 2))) (neg.f64 (*.f64 r r)))
(/.f64 (neg.f64 (/.f64 (*.f64 2 (/.f64 r r)) (*.f64 (cos.f64 a) 2))) (neg.f64 (/.f64 1 r)))
(/.f64 (neg.f64 (/.f64 (cos.f64 a) (/.f64 1 r))) (-.f64 0 (*.f64 (cos.f64 a) (cos.f64 a))))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) 2) r)) (-.f64 0 (/.f64 2 (*.f64 r r))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 a)) r)) (neg.f64 (/.f64 1 (*.f64 r r))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (cos.f64 a)) r)) (-.f64 0 (/.f64 2 (*.f64 r r))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (cos.f64 a)) (+.f64 r r))) (neg.f64 (/.f64 1 (*.f64 r r))))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (cos.f64 a)) 2)) (neg.f64 (/.f64 2 r)))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (cos.f64 a)))) (/.f64 2 r))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (cos.f64 a)))) (-.f64 0 (neg.f64 (/.f64 2 r))))
(/.f64 (neg.f64 (neg.f64 (/.f64 -1 (cos.f64 a)))) (neg.f64 (/.f64 1 r)))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (cos.f64 a)))) (*.f64 (/.f64 1 r) 4))
(/.f64 (neg.f64 (neg.f64 (*.f64 r 4))) (*.f64 (cos.f64 a) 4))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 1 (cos.f64 a))))) (neg.f64 (/.f64 1 r)))
(pow.f64 (/.f64 r (cos.f64 a)) 1)
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 a)))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) 0)
(+.f64 0 (*.f64 r (/.f64 b (cos.f64 a))))
(-.f64 (*.f64 r (/.f64 b (cos.f64 a))) 0)
(/.f64 1 (*.f64 (cos.f64 a) (/.f64 1 (*.f64 r b))))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (*.f64 (cos.f64 a) (/.f64 1 b)))
(/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (*.f64 r b)))
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 1 b))
(/.f64 (/.f64 r (cos.f64 a)) (-.f64 0 (/.f64 -1 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 b (/.f64 (*.f64 (cos.f64 a) (*.f64 (/.f64 1 r) 4)) 4))
(/.f64 (*.f64 r (/.f64 b (cos.f64 a))) 1)
(/.f64 2 (*.f64 (cos.f64 a) (/.f64 2 (*.f64 r b))))
(/.f64 2 (/.f64 (*.f64 (cos.f64 a) 2) (*.f64 r b)))
(/.f64 (+.f64 r r) (*.f64 (cos.f64 a) (/.f64 2 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 4 (/.f64 (*.f64 (cos.f64 a) 4) (*.f64 r b)))
(/.f64 (*.f64 r 4) (*.f64 (cos.f64 a) (/.f64 4 b)))
(/.f64 (+.f64 b b) (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (*.f64 r (*.f64 2 (/.f64 b (cos.f64 a)))) 2)
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 (neg.f64 r) (*.f64 (cos.f64 a) (/.f64 -1 b)))
(/.f64 (*.f64 b (+.f64 r r)) (*.f64 (cos.f64 a) 2))
(/.f64 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) 4) 4)
(/.f64 (/.f64 2 (cos.f64 a)) (/.f64 2 (*.f64 r b)))
(/.f64 (/.f64 (+.f64 r r) (cos.f64 a)) (/.f64 2 b))
(/.f64 (neg.f64 b) (*.f64 (cos.f64 a) (neg.f64 (/.f64 1 r))))
(/.f64 (neg.f64 b) (-.f64 0 (/.f64 (cos.f64 a) r)))
(/.f64 (neg.f64 (/.f64 1 (cos.f64 a))) (-.f64 0 (/.f64 1 (*.f64 r b))))
(/.f64 (*.f64 2 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) 4)) 8)
(/.f64 (/.f64 (+.f64 b b) (cos.f64 a)) (/.f64 2 r))
(/.f64 (/.f64 (*.f64 r 4) (cos.f64 a)) (/.f64 4 b))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 a)) (/.f64 -1 b))
(/.f64 (/.f64 (*.f64 b (+.f64 r r)) (cos.f64 a)) 2)
(/.f64 (/.f64 (neg.f64 b) (cos.f64 a)) (neg.f64 (/.f64 1 r)))
(/.f64 (/.f64 (*.f64 r b) (*.f64 (cos.f64 a) 2)) 1/2)
(/.f64 (neg.f64 (+.f64 b b)) (-.f64 0 (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (neg.f64 (neg.f64 b)) (-.f64 0 (*.f64 (cos.f64 a) (neg.f64 (/.f64 1 r)))))
(/.f64 (neg.f64 (/.f64 2 (cos.f64 a))) (-.f64 0 (/.f64 2 (*.f64 r b))))
(/.f64 (neg.f64 (*.f64 r b)) (neg.f64 (cos.f64 a)))
(/.f64 (neg.f64 (/.f64 r (cos.f64 a))) (-.f64 0 (/.f64 1 b)))
(/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (neg.f64 (/.f64 1 r)))
(/.f64 (neg.f64 (*.f64 b (+.f64 r r))) (neg.f64 (*.f64 (cos.f64 a) 2)))
(/.f64 (neg.f64 (/.f64 (+.f64 r r) (cos.f64 a))) (-.f64 0 (/.f64 2 b)))
(/.f64 (neg.f64 (/.f64 (+.f64 b b) (cos.f64 a))) (neg.f64 (/.f64 2 r)))
(/.f64 (neg.f64 (/.f64 (*.f64 r 4) (cos.f64 a))) (-.f64 0 (/.f64 4 b)))
(/.f64 (neg.f64 (/.f64 (neg.f64 b) (cos.f64 a))) (/.f64 1 r))
(/.f64 (neg.f64 (neg.f64 (*.f64 r b))) (cos.f64 a))
(pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) 1)
(+.f64 (/.f64 1 (cos.f64 a)) 0)
(+.f64 0 (/.f64 1 (cos.f64 a)))
(-.f64 (/.f64 1 (cos.f64 a)) 0)
(*.f64 1 (/.f64 1 (cos.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) 1)
(*.f64 2 (/.f64 (/.f64 1 (cos.f64 a)) 2))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) 2) 1/2)
(*.f64 1/2 (*.f64 (/.f64 1 (cos.f64 a)) 2))
(*.f64 (/.f64 (/.f64 1 (cos.f64 a)) 2) 2)
(pow.f64 (/.f64 1 (cos.f64 a)) 1)
Outputs
r
r
r
r
r
r
r
r
r
r
r
r
r
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) r)) r)
(+.f64 r (*.f64 1/2 (*.f64 r (pow.f64 a 2))))
(+.f64 r (*.f64 (pow.f64 a 2) (*.f64 r 1/2)))
(+.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 r (pow.f64 a 2))) (+.f64 r (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 r -1/4) (*.f64 r 1/24))))))
(+.f64 (+.f64 r (*.f64 (pow.f64 a 2) (*.f64 r 1/2))) (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 r -5/24))))
(+.f64 r (+.f64 (*.f64 (pow.f64 a 2) (*.f64 r 1/2)) (*.f64 (*.f64 r -5/24) (neg.f64 (pow.f64 a 4)))))
(+.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 1/2 (*.f64 r (pow.f64 a 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 r -1/4) (*.f64 r 1/24)))) (+.f64 r (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 r -1/720) (+.f64 (*.f64 r 1/48) (*.f64 1/2 (+.f64 (*.f64 r -1/4) (*.f64 r 1/24))))))))))
(+.f64 r (+.f64 (*.f64 -1 (+.f64 (*.f64 (pow.f64 a 4) (*.f64 r -5/24)) (*.f64 (pow.f64 a 6) (+.f64 (*.f64 r 1/48) (+.f64 (*.f64 r -1/720) (*.f64 1/2 (*.f64 r -5/24))))))) (*.f64 (pow.f64 a 2) (*.f64 r 1/2))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 (pow.f64 a 4) (*.f64 r -5/24)) (*.f64 (pow.f64 a 6) (+.f64 (*.f64 r 1/48) (+.f64 (*.f64 r -1/720) (*.f64 1/2 (*.f64 r -5/24))))))) (+.f64 r (*.f64 (pow.f64 a 2) (*.f64 r 1/2))))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 b r)
(*.f64 r b)
(+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (*.f64 r b))
(+.f64 (*.f64 b (*.f64 (pow.f64 a 2) (*.f64 r 1/2))) (*.f64 r b))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r)))))
(+.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (*.f64 r b)) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 r (*.f64 b -1/4)) (*.f64 b (*.f64 r 1/24))))))
(+.f64 (*.f64 b (*.f64 (pow.f64 a 2) (*.f64 r 1/2))) (+.f64 (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 (*.f64 r b) -5/24))) (*.f64 r b)))
(+.f64 (*.f64 b (*.f64 (pow.f64 a 2) (*.f64 r 1/2))) (+.f64 (*.f64 r b) (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 (*.f64 r b) -5/24)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/48 (*.f64 r b)) (+.f64 (*.f64 -1/720 (*.f64 b r)) (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 r b)) (*.f64 1/24 (*.f64 b r)))))))) (+.f64 (*.f64 b r) (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 b r))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 r (*.f64 b -1/4)) (*.f64 b (*.f64 r 1/24))))) (+.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (*.f64 r b)) (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 r (*.f64 b 1/48)) (+.f64 (*.f64 b (*.f64 r -1/720)) (*.f64 1/2 (+.f64 (*.f64 r (*.f64 b -1/4)) (*.f64 b (*.f64 r 1/24))))))))))
(+.f64 (+.f64 (*.f64 b (*.f64 (pow.f64 a 2) (*.f64 r 1/2))) (+.f64 (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 (*.f64 r b) -5/24))) (*.f64 r b))) (*.f64 (pow.f64 a 6) (neg.f64 (+.f64 (*.f64 r (*.f64 b -1/720)) (+.f64 (*.f64 r (*.f64 1/48 b)) (*.f64 1/2 (*.f64 (*.f64 r b) -5/24)))))))
(+.f64 (+.f64 (*.f64 b (*.f64 (pow.f64 a 2) (*.f64 r 1/2))) (+.f64 (*.f64 r b) (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 (*.f64 r b) -5/24))))) (*.f64 (+.f64 (*.f64 r (*.f64 b -1/720)) (+.f64 (*.f64 r (*.f64 1/48 b)) (*.f64 1/2 (*.f64 (*.f64 r b) -5/24)))) (neg.f64 (pow.f64 a 6))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
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(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 r))) (-.f64 0 (*.f64 2 (neg.f64 (cos.f64 a)))))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 r))) (-.f64 0 (neg.f64 (*.f64 (cos.f64 a) 2))))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (*.f64 (/.f64 1 r) r)) (-.f64 0 (/.f64 (cos.f64 a) r)))
(/.f64 (neg.f64 (*.f64 r (/.f64 1 r))) (neg.f64 (/.f64 (cos.f64 a) r)))
(/.f64 (neg.f64 (/.f64 r r)) (/.f64 (cos.f64 a) (neg.f64 r)))
(/.f64 (neg.f64 (*.f64 2 (*.f64 r 4))) (-.f64 0 (*.f64 (*.f64 (cos.f64 a) 2) 4)))
(/.f64 (neg.f64 (/.f64 r 1/8)) (neg.f64 (*.f64 4 (*.f64 2 (cos.f64 a)))))
(/.f64 (neg.f64 (/.f64 r -1/8)) (*.f64 (cos.f64 a) 8))
(/.f64 (neg.f64 (/.f64 r (cos.f64 a))) (-.f64 0 (*.f64 (/.f64 1 r) r)))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (/.f64 (/.f64 2 r) (cos.f64 a))) (-.f64 0 (*.f64 (/.f64 1 r) (/.f64 2 r))))
(/.f64 (neg.f64 (/.f64 2 (*.f64 r (cos.f64 a)))) (neg.f64 (*.f64 (/.f64 1 r) (/.f64 2 r))))
(/.f64 (/.f64 -2 (*.f64 r (cos.f64 a))) (neg.f64 (*.f64 (/.f64 1 r) (/.f64 2 r))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 a)) 2))) (/.f64 2 r))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 a)) 2))) (-.f64 0 (neg.f64 (/.f64 2 r))))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 (cos.f64 a)))) (neg.f64 (*.f64 (/.f64 1 r) 4)))
(/.f64 (neg.f64 (*.f64 4 (/.f64 1 (cos.f64 a)))) (neg.f64 (*.f64 4 (/.f64 1 r))))
(/.f64 (*.f64 2 (/.f64 -2 (cos.f64 a))) (*.f64 4 (/.f64 -1 r)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 -1 (cos.f64 a)))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 r)))))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (*.f64 2 (/.f64 4 (cos.f64 a)))) (-.f64 0 (*.f64 (/.f64 2 r) 4)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 4 (cos.f64 a)))) (neg.f64 (*.f64 4 (/.f64 2 r))))
(/.f64 (*.f64 2 (/.f64 -4 (cos.f64 a))) (neg.f64 (*.f64 4 (/.f64 2 r))))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (/.f64 1 (cos.f64 a))))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 r)))))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (/.f64 (/.f64 1 r) (cos.f64 a))) (neg.f64 (/.f64 1 (*.f64 r r))))
(/.f64 (/.f64 -1 (*.f64 r (cos.f64 a))) (/.f64 -1 (*.f64 r r)))
(/.f64 (neg.f64 (/.f64 (*.f64 r r) (cos.f64 a))) (neg.f64 r))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (/.f64 8 (cos.f64 a))) (-.f64 0 (*.f64 (/.f64 2 r) 4)))
(/.f64 (neg.f64 (/.f64 8 (cos.f64 a))) (neg.f64 (*.f64 4 (/.f64 2 r))))
(/.f64 (/.f64 -8 (cos.f64 a)) (neg.f64 (*.f64 4 (/.f64 2 r))))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 a))) (/.f64 2 r))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 a))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 r)))))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 a))) (-.f64 0 (neg.f64 (/.f64 2 r))))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 r r) (*.f64 r r)) (*.f64 (cos.f64 a) 2))) (neg.f64 (*.f64 r r)))
(/.f64 (neg.f64 (*.f64 (*.f64 r r) (/.f64 (+.f64 r r) (*.f64 2 (cos.f64 a))))) (neg.f64 (*.f64 r r)))
(/.f64 (*.f64 (/.f64 r (cos.f64 a)) (*.f64 r (neg.f64 r))) (*.f64 r (neg.f64 r)))
(/.f64 (neg.f64 (/.f64 (*.f64 2 (/.f64 r r)) (*.f64 (cos.f64 a) 2))) (neg.f64 (/.f64 1 r)))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (/.f64 (cos.f64 a) (/.f64 1 r))) (-.f64 0 (*.f64 (cos.f64 a) (cos.f64 a))))
(/.f64 (neg.f64 (/.f64 r (/.f64 1 (cos.f64 a)))) (neg.f64 (*.f64 (cos.f64 a) (cos.f64 a))))
(/.f64 (neg.f64 (*.f64 r (cos.f64 a))) (neg.f64 (*.f64 (cos.f64 a) (cos.f64 a))))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) 2) r)) (-.f64 0 (/.f64 2 (*.f64 r r))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (/.f64 1 r) (cos.f64 a)))) (neg.f64 (/.f64 2 (*.f64 r r))))
(/.f64 (neg.f64 (/.f64 -2 (*.f64 r (cos.f64 a)))) (/.f64 2 (*.f64 r r)))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 a)) r)) (neg.f64 (/.f64 1 (*.f64 r r))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 r) (cos.f64 a))) (neg.f64 (/.f64 1 (*.f64 r r))))
(/.f64 (/.f64 -1 (*.f64 r (cos.f64 a))) (/.f64 -1 (*.f64 r r)))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (cos.f64 a)) r)) (-.f64 0 (/.f64 2 (*.f64 r r))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (/.f64 1 r) (cos.f64 a)))) (neg.f64 (/.f64 2 (*.f64 r r))))
(/.f64 (neg.f64 (/.f64 -2 (*.f64 r (cos.f64 a)))) (/.f64 2 (*.f64 r r)))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (cos.f64 a)) (+.f64 r r))) (neg.f64 (/.f64 1 (*.f64 r r))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 r) (cos.f64 a))) (neg.f64 (/.f64 1 (*.f64 r r))))
(/.f64 (/.f64 -1 (*.f64 r (cos.f64 a))) (/.f64 -1 (*.f64 r r)))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (cos.f64 a)) 2)) (neg.f64 (/.f64 2 r)))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (cos.f64 a)))) (/.f64 2 r))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (cos.f64 a)))) (-.f64 0 (neg.f64 (/.f64 2 r))))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (neg.f64 (/.f64 -1 (cos.f64 a)))) (neg.f64 (/.f64 1 r)))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (cos.f64 a)))) (*.f64 (/.f64 1 r) 4))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (neg.f64 (*.f64 r 4))) (*.f64 (cos.f64 a) 4))
(/.f64 r (cos.f64 a))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 1 (cos.f64 a))))) (neg.f64 (/.f64 1 r)))
(/.f64 r (cos.f64 a))
(pow.f64 (/.f64 r (cos.f64 a)) 1)
(/.f64 r (cos.f64 a))
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 a)))
(/.f64 r (cos.f64 a))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) 0)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(+.f64 0 (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(-.f64 (*.f64 r (/.f64 b (cos.f64 a))) 0)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 1 (*.f64 (cos.f64 a) (/.f64 1 (*.f64 r b))))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (*.f64 (cos.f64 a) (/.f64 1 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (*.f64 r b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 1 b))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (cos.f64 a)) (-.f64 0 (/.f64 -1 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (*.f64 (cos.f64 a) (*.f64 (/.f64 1 r) 4)) 4))
(/.f64 b (*.f64 (*.f64 4 (/.f64 1 r)) (/.f64 (cos.f64 a) 4)))
(/.f64 b (*.f64 (cos.f64 a) (*.f64 (/.f64 1 r) 1)))
(/.f64 (*.f64 r (/.f64 b (cos.f64 a))) 1)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 2 (*.f64 (cos.f64 a) (/.f64 2 (*.f64 r b))))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 2 (/.f64 (*.f64 (cos.f64 a) 2) (*.f64 r b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (+.f64 r r) (*.f64 (cos.f64 a) (/.f64 2 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 4 (/.f64 (*.f64 (cos.f64 a) 4) (*.f64 r b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r 4) (*.f64 (cos.f64 a) (/.f64 4 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (+.f64 b b) (*.f64 (cos.f64 a) (/.f64 2 r)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r (*.f64 2 (/.f64 b (cos.f64 a)))) 2)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 r) (*.f64 (cos.f64 a) (/.f64 -1 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b (+.f64 r r)) (*.f64 (cos.f64 a) 2))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) 4) 4)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 2 (cos.f64 a)) (/.f64 2 (*.f64 r b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 (+.f64 r r) (cos.f64 a)) (/.f64 2 b))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 b) (*.f64 (cos.f64 a) (neg.f64 (/.f64 1 r))))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 b) (-.f64 0 (/.f64 (cos.f64 a) r)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 (/.f64 1 (cos.f64 a))) (-.f64 0 (/.f64 1 (*.f64 r b))))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 2 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) 4)) 8)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 (+.f64 b b) (cos.f64 a)) (/.f64 2 r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 (*.f64 r 4) (cos.f64 a)) (/.f64 4 b))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 a)) (/.f64 -1 b))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 (*.f64 b (+.f64 r r)) (cos.f64 a)) 2)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 (neg.f64 b) (cos.f64 a)) (neg.f64 (/.f64 1 r)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 (*.f64 r b) (*.f64 (cos.f64 a) 2)) 1/2)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 (+.f64 b b)) (-.f64 0 (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (neg.f64 (+.f64 b b)) (neg.f64 (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (neg.f64 (+.f64 b b)) (neg.f64 (*.f64 2 (/.f64 (cos.f64 a) r))))
(/.f64 (neg.f64 (neg.f64 b)) (-.f64 0 (*.f64 (cos.f64 a) (neg.f64 (/.f64 1 r)))))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 (/.f64 2 (cos.f64 a))) (-.f64 0 (/.f64 2 (*.f64 r b))))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 (*.f64 r b)) (neg.f64 (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 (/.f64 r (cos.f64 a))) (-.f64 0 (/.f64 1 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (neg.f64 (/.f64 1 r)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 (*.f64 b (+.f64 r r))) (neg.f64 (*.f64 (cos.f64 a) 2)))
(/.f64 (neg.f64 (*.f64 b (+.f64 r r))) (neg.f64 (*.f64 2 (cos.f64 a))))
(/.f64 (*.f64 b (*.f64 r -2)) (*.f64 (cos.f64 a) -2))
(/.f64 (neg.f64 (/.f64 (+.f64 r r) (cos.f64 a))) (-.f64 0 (/.f64 2 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 (/.f64 (+.f64 b b) (cos.f64 a))) (neg.f64 (/.f64 2 r)))
(/.f64 (/.f64 (+.f64 b b) (neg.f64 (cos.f64 a))) (/.f64 -2 r))
(/.f64 (neg.f64 (/.f64 (*.f64 r 4) (cos.f64 a))) (-.f64 0 (/.f64 4 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 (/.f64 (neg.f64 b) (cos.f64 a))) (/.f64 1 r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (neg.f64 (neg.f64 (*.f64 r b))) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) 1)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(+.f64 (/.f64 1 (cos.f64 a)) 0)
(/.f64 1 (cos.f64 a))
(+.f64 0 (/.f64 1 (cos.f64 a)))
(/.f64 1 (cos.f64 a))
(-.f64 (/.f64 1 (cos.f64 a)) 0)
(/.f64 1 (cos.f64 a))
(*.f64 1 (/.f64 1 (cos.f64 a)))
(/.f64 1 (cos.f64 a))
(*.f64 (/.f64 1 (cos.f64 a)) 1)
(/.f64 1 (cos.f64 a))
(*.f64 2 (/.f64 (/.f64 1 (cos.f64 a)) 2))
(/.f64 1 (cos.f64 a))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) 2) 1/2)
(/.f64 1 (cos.f64 a))
(*.f64 1/2 (*.f64 (/.f64 1 (cos.f64 a)) 2))
(/.f64 1 (cos.f64 a))
(*.f64 (/.f64 (/.f64 1 (cos.f64 a)) 2) 2)
(/.f64 1 (cos.f64 a))
(pow.f64 (/.f64 1 (cos.f64 a)) 1)
(/.f64 1 (cos.f64 a))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1/2 (cos.f64 a))
0.1b
(/.f64 1/2 (sin.f64 b))
0.1b
(*.f64 r (/.f64 1/2 (cos.f64 a)))
0.2b
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
Compiler

Compiled 36 to 19 computations (47.2% saved)

series7.0ms (0%)

Counts
4 → 68
Calls

21 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
0.0ms
r
@0
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
0.0ms
b
@0
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
0.0ms
a
@inf
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
0.0ms
a
@-inf
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))

rewrite186.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1628×exponential.json-3
1628×rational.json-1
1628×rational.json-2
1628×rational.json-4
1628×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01372
19972
229860
3104660
4458560
Stop Event
node limit
Counts
4 → 144
Calls
Call 1
Inputs
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
(*.f64 r (/.f64 1/2 (cos.f64 a)))
(/.f64 1/2 (sin.f64 b))
(/.f64 1/2 (cos.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 b) (*.f64 r (/.f64 2 (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 a)) (*.f64 r (*.f64 (sin.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (/.f64 1/2 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 r (cos.f64 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (*.f64 (cos.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (*.f64 -1 (neg.f64 (*.f64 (cos.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (cos.f64 a)) (*.f64 2 (/.f64 1/2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 1/2 (/.f64 r 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (cos.f64 a) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r (cos.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 2 (neg.f64 (/.f64 (cos.f64 a) r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (*.f64 (cos.f64 a) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (cos.f64 a)) (/.f64 r 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (*.f64 (cos.f64 a) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (cos.f64 a) 4) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cos.f64 a)) (/.f64 2 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 r r) (*.f64 (cos.f64 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (/.f64 2 (cos.f64 a))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (/.f64 (cos.f64 a) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 r (cos.f64 a)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 r) (neg.f64 (*.f64 (cos.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 r (cos.f64 a)) (/.f64 r (cos.f64 a))) (*.f64 r (/.f64 2 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (cos.f64 a) 4) (/.f64 r 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r 4) (*.f64 2 (*.f64 (cos.f64 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r 4) (*.f64 (*.f64 (cos.f64 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 r)) (+.f64 (neg.f64 (*.f64 (cos.f64 a) 2)) (neg.f64 (*.f64 (cos.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 r (/.f64 2 (cos.f64 a)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r 2) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/4 (cos.f64 a)) (/.f64 1/2 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 r r)) (-.f64 0 (*.f64 (cos.f64 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1/2 (cos.f64 a))) (/.f64 -1/2 (/.f64 r 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (cos.f64 a)) 4) (/.f64 2 (/.f64 r 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 r 2) (/.f64 r 2)) (*.f64 (cos.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 a)) -2) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 r 2) (*.f64 (cos.f64 a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 r 2)) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 r (cos.f64 a)) -2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (sin.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (sin.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 2 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 2 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1/2 (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 (sin.f64 b)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1/2 (sin.f64 b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sin.f64 b)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sin.f64 b)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/4 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (cos.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (cos.f64 a)) 1)))))

simplify169.0ms (0.6%)

Algorithm
egg-herbie
Rules
1752×rational.json-simplify-35
1268×rational.json-simplify-49
1096×rational.json-simplify-43
1066×rational.json-simplify-2
1032×rational.json-simplify-46
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03585326
19575070
226524972
369684972
Stop Event
node limit
Counts
212 → 228
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r))) (*.f64 (sin.f64 b) r))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/24 (*.f64 (sin.f64 b) r)) (*.f64 -1/4 (*.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r)))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 (*.f64 (sin.f64 b) r)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 (*.f64 (sin.f64 b) r)) (*.f64 -1/4 (*.f64 (sin.f64 b) r)))) (*.f64 1/48 (*.f64 (sin.f64 b) r)))) (pow.f64 a 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/24 (*.f64 (sin.f64 b) r)) (*.f64 -1/4 (*.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 r)
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 a 2) r)) (*.f64 1/2 r))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 a 2) r)) (*.f64 1/2 r)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 r) (*.f64 1/24 r)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 -1/720 r) (+.f64 (*.f64 1/48 r) (*.f64 1/2 (+.f64 (*.f64 1/24 r) (*.f64 -1/4 r))))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 a 2) r)) (*.f64 1/2 r))))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(*.f64 1/2 (/.f64 r (cos.f64 a)))
(/.f64 1/2 b)
(+.f64 (*.f64 1/12 b) (*.f64 1/2 (/.f64 1 b)))
(+.f64 (*.f64 1/12 b) (+.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 7/720 (pow.f64 b 3))))
(+.f64 (*.f64 31/30240 (pow.f64 b 5)) (+.f64 (*.f64 1/12 b) (+.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 7/720 (pow.f64 b 3)))))
1/2
(+.f64 1/2 (*.f64 1/4 (pow.f64 a 2)))
(+.f64 1/2 (+.f64 (*.f64 1/4 (pow.f64 a 2)) (*.f64 5/48 (pow.f64 a 4))))
(+.f64 1/2 (+.f64 (*.f64 61/1440 (pow.f64 a 6)) (+.f64 (*.f64 1/4 (pow.f64 a 2)) (*.f64 5/48 (pow.f64 a 4)))))
(+.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 0)
(+.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))
(-.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 1/2 (*.f64 (sin.f64 b) (*.f64 r (/.f64 2 (cos.f64 a)))))
(*.f64 (/.f64 1/2 (cos.f64 a)) (*.f64 r (*.f64 (sin.f64 b) 2)))
(*.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (*.f64 (sin.f64 b) 2))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 1)
(*.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))
(*.f64 (*.f64 (sin.f64 b) 2) (*.f64 r (/.f64 1/2 (cos.f64 a))))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (*.f64 r (*.f64 (sin.f64 b) 2)) (/.f64 1/2 (cos.f64 a)))
(*.f64 -1 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (neg.f64 (/.f64 1/2 (sin.f64 b)))))
(*.f64 -1 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 -1/2 (sin.f64 b))))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 a) (/.f64 2 r)))))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (/.f64 (*.f64 (cos.f64 a) 4) r)))
(*.f64 (*.f64 (sin.f64 b) 4) (*.f64 1/2 (*.f64 r (/.f64 1/2 (cos.f64 a)))))
(*.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4)) (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))))
(*.f64 2 (*.f64 r (*.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 b))))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 a) (/.f64 2 r))))
(*.f64 2 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1 (sin.f64 b))))
(*.f64 2 (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 2))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (*.f64 (sin.f64 b) 2) (/.f64 r 2)))
(*.f64 (+.f64 r r) (*.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 b)))
(*.f64 (+.f64 r r) (*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/4 (cos.f64 a))))
(*.f64 (*.f64 (sin.f64 b) (*.f64 r (/.f64 2 (cos.f64 a)))) 1/2)
(*.f64 (*.f64 r (/.f64 2 (cos.f64 a))) (*.f64 1/2 (sin.f64 b)))
(*.f64 (*.f64 r (/.f64 2 (cos.f64 a))) (/.f64 1 (*.f64 (/.f64 1/2 (sin.f64 b)) 4)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (neg.f64 (cos.f64 a)) r)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (neg.f64 (/.f64 (cos.f64 a) r))))
(*.f64 (/.f64 (/.f64 r (cos.f64 a)) -2) (/.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 b)))))
(*.f64 (/.f64 (/.f64 r (cos.f64 a)) -2) (/.f64 1 (/.f64 -1/2 (sin.f64 b))))
(*.f64 (*.f64 r 4) (*.f64 (sin.f64 b) (/.f64 1/4 (cos.f64 a))))
(*.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)) (/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))))
(*.f64 (*.f64 r (*.f64 (sin.f64 b) 4)) (/.f64 1/4 (cos.f64 a)))
(*.f64 (*.f64 2 (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 r 2))
(*.f64 (/.f64 r 2) (*.f64 2 (/.f64 (sin.f64 b) (cos.f64 a))))
(*.f64 (*.f64 r (*.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 b))) 2)
(*.f64 (/.f64 1/4 (cos.f64 a)) (*.f64 r (*.f64 (sin.f64 b) 4)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 a)))
(*.f64 (*.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 b)) (+.f64 r r))
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 4 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))))
(*.f64 (*.f64 (/.f64 1/2 (cos.f64 a)) 4) (*.f64 (sin.f64 b) (/.f64 r 2)))
(*.f64 (*.f64 1/2 (sin.f64 b)) (*.f64 r (/.f64 2 (cos.f64 a))))
(*.f64 (*.f64 (sin.f64 b) (/.f64 r 2)) (*.f64 (/.f64 1/2 (cos.f64 a)) 4))
(*.f64 (*.f64 (sin.f64 b) (/.f64 1/4 (cos.f64 a))) (*.f64 r 4))
(*.f64 (*.f64 (*.f64 (sin.f64 b) 2) (/.f64 r 2)) (/.f64 1 (cos.f64 a)))
(*.f64 (*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/4 (cos.f64 a))) (+.f64 r r))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 a) (/.f64 2 r))) 2)
(*.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1 (sin.f64 b))) 2)
(*.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (neg.f64 (/.f64 1/2 (sin.f64 b)))) -1)
(*.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 -1/2 (sin.f64 b))) -1)
(*.f64 (/.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 b)))) (/.f64 (/.f64 r (cos.f64 a)) -2))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (cos.f64 a) (/.f64 2 r)))) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 1 (/.f64 (*.f64 (cos.f64 a) 4) r)) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 2))
(*.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)))
(*.f64 (/.f64 4 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 2) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 1/2 (sin.f64 b)) 4)) (*.f64 r (/.f64 2 (cos.f64 a))))
(*.f64 (/.f64 1 (/.f64 (neg.f64 (cos.f64 a)) r)) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 1 (neg.f64 (/.f64 (cos.f64 a) r))) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 1 (/.f64 -1/2 (sin.f64 b))) (/.f64 (/.f64 r (cos.f64 a)) -2))
(*.f64 (*.f64 1/2 (*.f64 r (/.f64 1/2 (cos.f64 a)))) (*.f64 (sin.f64 b) 4))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 1)
(+.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) 0)
(+.f64 0 (*.f64 r (/.f64 1/2 (cos.f64 a))))
(-.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) 0)
(-.f64 0 (/.f64 (/.f64 r (cos.f64 a)) -2))
(/.f64 r (*.f64 (cos.f64 a) 2))
(/.f64 r (*.f64 -1 (neg.f64 (*.f64 (cos.f64 a) 2))))
(/.f64 1/2 (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 1 r))
(/.f64 (/.f64 1/2 (cos.f64 a)) (*.f64 2 (/.f64 1/2 r)))
(/.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 1/2 (/.f64 r 2)))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) 1)
(/.f64 1 (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (/.f64 r (cos.f64 a)) 2)
(/.f64 -1 (*.f64 2 (neg.f64 (/.f64 (cos.f64 a) r))))
(/.f64 -1 (-.f64 0 (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 a)) (/.f64 r 2)))
(/.f64 2 (*.f64 2 (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 2 (/.f64 (*.f64 (cos.f64 a) 4) r))
(/.f64 (/.f64 1 (cos.f64 a)) (/.f64 2 r))
(/.f64 (+.f64 r r) (*.f64 (cos.f64 a) 4))
(/.f64 (*.f64 r (/.f64 2 (cos.f64 a))) 4)
(/.f64 -1/2 (neg.f64 (/.f64 (cos.f64 a) r)))
(/.f64 (/.f64 (/.f64 r (cos.f64 a)) -2) -1)
(/.f64 (neg.f64 r) (neg.f64 (*.f64 (cos.f64 a) 2)))
(/.f64 (*.f64 (/.f64 r (cos.f64 a)) (/.f64 r (cos.f64 a))) (*.f64 r (/.f64 2 (cos.f64 a))))
(/.f64 4 (/.f64 (*.f64 (cos.f64 a) 4) (/.f64 r 2)))
(/.f64 (*.f64 r 4) (*.f64 2 (*.f64 (cos.f64 a) 4)))
(/.f64 (*.f64 r 4) (*.f64 (*.f64 (cos.f64 a) 2) 4))
(/.f64 (*.f64 2 (neg.f64 r)) (+.f64 (neg.f64 (*.f64 (cos.f64 a) 2)) (neg.f64 (*.f64 (cos.f64 a) 2))))
(/.f64 (*.f64 2 (*.f64 r (/.f64 2 (cos.f64 a)))) 8)
(/.f64 (/.f64 r 2) (cos.f64 a))
(/.f64 (/.f64 1/4 (cos.f64 a)) (/.f64 1/2 r))
(/.f64 (neg.f64 (+.f64 r r)) (-.f64 0 (*.f64 (cos.f64 a) 4)))
(/.f64 (neg.f64 (/.f64 1/2 (cos.f64 a))) (/.f64 -1/2 (/.f64 r 2)))
(/.f64 (*.f64 (/.f64 1/2 (cos.f64 a)) 4) (/.f64 2 (/.f64 r 2)))
(/.f64 (+.f64 (/.f64 r 2) (/.f64 r 2)) (*.f64 (cos.f64 a) 2))
(/.f64 (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) 2) 1/2)
(/.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 a)) -2) 2) -1/2)
(/.f64 (/.f64 (/.f64 r 2) (*.f64 (cos.f64 a) 2)) 1/2)
(/.f64 (neg.f64 (/.f64 r 2)) (neg.f64 (cos.f64 a)))
(pow.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) 1)
(neg.f64 (/.f64 (/.f64 r (cos.f64 a)) -2))
(+.f64 (/.f64 1/2 (sin.f64 b)) 0)
(+.f64 0 (/.f64 1/2 (sin.f64 b)))
(-.f64 (/.f64 1/2 (sin.f64 b)) 0)
(*.f64 1/2 (/.f64 1 (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 2 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))))
(*.f64 (/.f64 1/2 (sin.f64 b)) 1)
(*.f64 1 (/.f64 1/2 (sin.f64 b)))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 2 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))))
(*.f64 (/.f64 1 (sin.f64 b)) 1/2)
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))))
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 b)) 2))
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 b)) 4) 1/4)
(*.f64 1/4 (*.f64 (/.f64 1/2 (sin.f64 b)) 4))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))) 2)
(*.f64 (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 2))
(*.f64 (/.f64 2 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))) (sin.f64 b))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 b)) 2) 2)
(*.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 2 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 2))
(pow.f64 (/.f64 1/2 (sin.f64 b)) 1)
(+.f64 (/.f64 1/2 (cos.f64 a)) 0)
(+.f64 0 (/.f64 1/2 (cos.f64 a)))
(-.f64 (/.f64 1/2 (cos.f64 a)) 0)
(*.f64 1/2 (/.f64 1 (cos.f64 a)))
(*.f64 (/.f64 1/2 (cos.f64 a)) 1)
(*.f64 1 (/.f64 1/2 (cos.f64 a)))
(*.f64 2 (/.f64 1/4 (cos.f64 a)))
(*.f64 (/.f64 1 (cos.f64 a)) 1/2)
(*.f64 (/.f64 1/4 (cos.f64 a)) 2)
(pow.f64 (/.f64 1/2 (cos.f64 a)) 1)
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
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(*.f64 (sin.f64 b) (/.f64 (/.f64 2 (sin.f64 b)) (*.f64 (sin.f64 b) 4)))
(*.f64 (sin.f64 b) (/.f64 (/.f64 1/2 (sin.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1/2 (*.f64 (sin.f64 b) (sin.f64 b))))
(*.f64 (/.f64 1/2 (sin.f64 b)) 1)
(/.f64 1/2 (sin.f64 b))
(*.f64 1 (/.f64 1/2 (sin.f64 b)))
(/.f64 1/2 (sin.f64 b))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4)))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 (/.f64 1/4 (sin.f64 b)) (sin.f64 b))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 1/4 (*.f64 (sin.f64 b) (sin.f64 b)))))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 2 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4)))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 (/.f64 1/4 (sin.f64 b)) (sin.f64 b))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 1/4 (*.f64 (sin.f64 b) (sin.f64 b)))))
(*.f64 (/.f64 1 (sin.f64 b)) 1/2)
(*.f64 1/2 (/.f64 1 (sin.f64 b)))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))))
(*.f64 4 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 b)) (*.f64 (sin.f64 b) 4)) (sin.f64 b)))
(*.f64 4 (*.f64 (sin.f64 b) (/.f64 1/2 (*.f64 4 (*.f64 (sin.f64 b) (sin.f64 b))))))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))))
(*.f64 2 (/.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) 4)))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 4 (*.f64 (sin.f64 b) (sin.f64 b)))))
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 b)) 2))
(/.f64 1/2 (sin.f64 b))
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 b)) 4) 1/4)
(/.f64 1/2 (sin.f64 b))
(*.f64 1/4 (*.f64 (/.f64 1/2 (sin.f64 b)) 4))
(/.f64 1/2 (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))) 2)
(*.f64 2 (/.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) 4)))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 4 (*.f64 (sin.f64 b) (sin.f64 b)))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 2))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4)))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 (/.f64 1/4 (sin.f64 b)) (sin.f64 b))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 1/4 (*.f64 (sin.f64 b) (sin.f64 b)))))
(*.f64 (/.f64 2 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 (/.f64 2 (sin.f64 b)) (*.f64 (sin.f64 b) 4)))
(*.f64 (sin.f64 b) (/.f64 (/.f64 1/2 (sin.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1/2 (*.f64 (sin.f64 b) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 b)) 2) 2)
(/.f64 1/2 (sin.f64 b))
(*.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 4))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))))
(*.f64 4 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 b)) (*.f64 (sin.f64 b) 4)) (sin.f64 b)))
(*.f64 4 (*.f64 (sin.f64 b) (/.f64 1/2 (*.f64 4 (*.f64 (sin.f64 b) (sin.f64 b))))))
(*.f64 (/.f64 2 (*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 2))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 4)))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 (/.f64 1/4 (sin.f64 b)) (sin.f64 b))))
(*.f64 (sin.f64 b) (*.f64 2 (/.f64 1/4 (*.f64 (sin.f64 b) (sin.f64 b)))))
(pow.f64 (/.f64 1/2 (sin.f64 b)) 1)
(/.f64 1/2 (sin.f64 b))
(+.f64 (/.f64 1/2 (cos.f64 a)) 0)
(/.f64 1/2 (cos.f64 a))
(+.f64 0 (/.f64 1/2 (cos.f64 a)))
(/.f64 1/2 (cos.f64 a))
(-.f64 (/.f64 1/2 (cos.f64 a)) 0)
(/.f64 1/2 (cos.f64 a))
(*.f64 1/2 (/.f64 1 (cos.f64 a)))
(*.f64 (/.f64 1/2 (cos.f64 a)) 1)
(/.f64 1/2 (cos.f64 a))
(*.f64 1 (/.f64 1/2 (cos.f64 a)))
(/.f64 1/2 (cos.f64 a))
(*.f64 2 (/.f64 1/4 (cos.f64 a)))
(/.f64 1/2 (cos.f64 a))
(*.f64 (/.f64 1 (cos.f64 a)) 1/2)
(*.f64 1/2 (/.f64 1 (cos.f64 a)))
(*.f64 (/.f64 1/4 (cos.f64 a)) 2)
(/.f64 1/2 (cos.f64 a))
(pow.f64 (/.f64 1/2 (cos.f64 a)) 1)
(/.f64 1/2 (cos.f64 a))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 a) r)
0.1b
(/.f64 (cos.f64 a) r)
0.7b
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
4.0b
(*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))
Compiler

Compiled 56 to 12 computations (78.6% saved)

series90.0ms (0.3%)

Counts
4 → 80
Calls

30 calls:

TimeVariablePointExpression
76.0ms
r
@0
(*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))
2.0ms
a
@0
(/.f64 (sin.f64 a) r)
1.0ms
b
@0
(*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))
1.0ms
r
@0
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
1.0ms
a
@inf
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))

rewrite92.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1516×rational.json-1
1516×rational.json-2
1516×rational.json-4
1516×rational.json-3
1494×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01590
111490
231490
384790
4247190
5571490
Stop Event
node limit
Counts
4 → 134
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
(/.f64 (cos.f64 a) r)
(/.f64 (sin.f64 a) r)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 a) (/.f64 b r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 a) (/.f64 (neg.f64 r) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 a) r) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (neg.f64 (/.f64 r (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (/.f64 r (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 (neg.f64 (/.f64 r (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 r (sin.f64 a)) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 a) 2) (/.f64 (+.f64 r r) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 a) 2) (+.f64 (/.f64 (neg.f64 r) b) (/.f64 (neg.f64 r) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 r (/.f64 2 (sin.f64 a))) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 r (sin.f64 a)) (neg.f64 b)) (/.f64 (/.f64 r (sin.f64 a)) (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b b) (*.f64 -2 (/.f64 r (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b b) (+.f64 (neg.f64 (/.f64 r (sin.f64 a))) (neg.f64 (/.f64 r (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -2) (*.f64 r (/.f64 2 (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 a) r) (*.f64 b -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 a) (/.f64 2 r)) (/.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 a) (/.f64 2 r)) (+.f64 (/.f64 -1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 a) 4) (+.f64 (/.f64 (+.f64 r r) (neg.f64 b)) (/.f64 (+.f64 r r) (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 a)) (/.f64 r b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 r (/.f64 2 (sin.f64 a))) (neg.f64 b)) (/.f64 (*.f64 r (/.f64 2 (sin.f64 a))) (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b 4) (*.f64 (/.f64 r (sin.f64 a)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b 4) (+.f64 (*.f64 -2 (/.f64 r (sin.f64 a))) (*.f64 -2 (/.f64 r (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -4) (*.f64 2 (*.f64 r (/.f64 2 (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -4) (*.f64 (/.f64 r (sin.f64 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 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(sin.f64 a))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b -4) (/.f64 r (sin.f64 a))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 b) 2) (/.f64 (/.f64 r (sin.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b r)) (*.f64 (sin.f64 a) (/.f64 b r))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 b (neg.f64 r)) (/.f64 b (neg.f64 r))) (+.f64 (/.f64 1 (sin.f64 a)) (/.f64 1 (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 a) r) (*.f64 b -4))) (*.f64 2 (*.f64 (/.f64 (sin.f64 a) r) (*.f64 b -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (+.f64 b b) (/.f64 r (sin.f64 a))) (/.f64 (+.f64 b b) (/.f64 r (sin.f64 a)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 b 4) (/.f64 r (sin.f64 a))) (/.f64 (*.f64 b 4) (/.f64 r (sin.f64 a)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 2)) (/.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/2 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) 2) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (sin.f64 b) 2) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 1/2) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 4)) (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 a) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 a) (+.f64 r r)) (/.f64 (cos.f64 a) (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 a) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (cos.f64 a) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 a) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 a) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (cos.f64 a) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 a) 2) (/.f64 1/2 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 a) 2) (*.f64 (/.f64 1 r) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (cos.f64 a) (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (cos.f64 a) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 r) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 a) 4) (/.f64 1 (*.f64 r 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 a)) (/.f64 -1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 a) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 r) (*.f64 (cos.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 r) 1/2) (*.f64 (cos.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 a) (neg.f64 r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 a) (+.f64 r r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 a) r) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 r 4)) (*.f64 (cos.f64 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 r) (neg.f64 (cos.f64 a)))))) (#(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 (cos.f64 a) (neg.f64 r)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 a) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 a) (+.f64 r r)) (/.f64 (sin.f64 a) (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 a) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 a) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 a) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 a) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 a) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 a) 2) (/.f64 1/2 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 a) 2) (*.f64 (/.f64 1 r) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 a) (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sin.f64 a) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 r) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 a) (/.f64 2 r)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 a) 4) (/.f64 1 (*.f64 r 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 a) (neg.f64 r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (sin.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 a)) (/.f64 -1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 a) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 r) (*.f64 (sin.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 r) 1/2) (*.f64 (sin.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 a) (+.f64 r r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 a) r) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 r 4)) (*.f64 (sin.f64 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 r) (neg.f64 (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 a) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 a) (neg.f64 r)))))))

simplify213.0ms (0.8%)

Algorithm
egg-herbie
Rules
1654×rational.json-simplify-35
1132×rational.json-simplify-2
1048×rational.json-simplify-61
942×rational.json-simplify-49
930×rational.json-simplify-44
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04097538
110347138
225197084
373577080
Stop Event
node limit
Counts
214 → 257
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 a b) r))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 a 3) b) r)) (*.f64 -1 (/.f64 (*.f64 a b) r)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 a 3) b) r)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a b) r)) (*.f64 -1/120 (/.f64 (*.f64 (pow.f64 a 5) b) r))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 a 3) b) r)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a b) r)) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (pow.f64 a 5) b) r)) (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 a 7) b) r)))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)) (/.f64 (*.f64 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 (sin.f64 a) (*.f64 (pow.f64 b 4) (-.f64 (*.f64 -1/6 (/.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 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)) (/.f64 (*.f64 r b) (cos.f64 a)))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 3) r)) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 3) r)) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) 2) r)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b))))))
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 b r))) (*.f64 (sin.f64 b) r))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 b 2)))) (*.f64 -1/2 (*.f64 (sin.f64 b) r))) (pow.f64 a 2))) (+.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 b r))) (*.f64 (sin.f64 b) r)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 b 2)))) (*.f64 -1/2 (*.f64 (sin.f64 b) r))) (pow.f64 a 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 b) r)) (*.f64 -1 (*.f64 (sin.f64 b) (*.f64 (pow.f64 b 2) r)))) b) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (*.f64 r b))) (*.f64 -1/2 (*.f64 (sin.f64 b) (*.f64 r b))))))) (+.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 b r))) (*.f64 (sin.f64 b) r))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (cos.f64 a)) (*.f64 (sin.f64 a) b))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (cos.f64 a)) (*.f64 (sin.f64 a) b))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (cos.f64 a)) (*.f64 (sin.f64 a) b))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (cos.f64 a)) (*.f64 (sin.f64 a) b))))
(/.f64 1 r)
(+.f64 (/.f64 1 r) (*.f64 -1/2 (/.f64 (pow.f64 a 2) r)))
(+.f64 (/.f64 1 r) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 a 4) r)) (*.f64 -1/2 (/.f64 (pow.f64 a 2) r))))
(+.f64 (*.f64 -1/720 (/.f64 (pow.f64 a 6) r)) (+.f64 (/.f64 1 r) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 a 4) r)) (*.f64 -1/2 (/.f64 (pow.f64 a 2) r)))))
(/.f64 a r)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) r)) (/.f64 a r))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) r)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 a 5) r)) (/.f64 a r)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) r)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 a 5) r)) (+.f64 (/.f64 a r) (*.f64 -1/5040 (/.f64 (pow.f64 a 7) r)))))
(+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) 0)
(+.f64 0 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))))
(-.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) 0)
(-.f64 0 (*.f64 (sin.f64 a) (/.f64 b r)))
(/.f64 (sin.f64 a) (/.f64 (neg.f64 r) b))
(/.f64 (/.f64 (sin.f64 a) r) (/.f64 -1 b))
(/.f64 b (neg.f64 (/.f64 r (sin.f64 a))))
(/.f64 (neg.f64 b) (/.f64 r (sin.f64 a)))
(/.f64 (neg.f64 b) (neg.f64 (neg.f64 (/.f64 r (sin.f64 a)))))
(/.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) 1)
(/.f64 1 (/.f64 (/.f64 r (sin.f64 a)) (neg.f64 b)))
(/.f64 (*.f64 (sin.f64 a) 2) (/.f64 (+.f64 r r) (neg.f64 b)))
(/.f64 (*.f64 (sin.f64 a) 2) (+.f64 (/.f64 (neg.f64 r) b) (/.f64 (neg.f64 r) b)))
(/.f64 2 (/.f64 (*.f64 r (/.f64 2 (sin.f64 a))) (neg.f64 b)))
(/.f64 2 (+.f64 (/.f64 (/.f64 r (sin.f64 a)) (neg.f64 b)) (/.f64 (/.f64 r (sin.f64 a)) (neg.f64 b))))
(/.f64 (+.f64 b b) (*.f64 -2 (/.f64 r (sin.f64 a))))
(/.f64 (+.f64 b b) (+.f64 (neg.f64 (/.f64 r (sin.f64 a))) (neg.f64 (/.f64 r (sin.f64 a)))))
(/.f64 (*.f64 b -2) (*.f64 r (/.f64 2 (sin.f64 a))))
(/.f64 (*.f64 (/.f64 (sin.f64 a) r) (*.f64 b -2)) 2)
(/.f64 (*.f64 (sin.f64 a) (/.f64 2 r)) (/.f64 -2 b))
(/.f64 (*.f64 (sin.f64 a) (/.f64 2 r)) (+.f64 (/.f64 -1 b) (/.f64 -1 b)))
(/.f64 (*.f64 (sin.f64 a) 4) (+.f64 (/.f64 (+.f64 r r) (neg.f64 b)) (/.f64 (+.f64 r r) (neg.f64 b))))
(/.f64 (neg.f64 (sin.f64 a)) (/.f64 r b))
(/.f64 4 (+.f64 (/.f64 (*.f64 r (/.f64 2 (sin.f64 a))) (neg.f64 b)) (/.f64 (*.f64 r (/.f64 2 (sin.f64 a))) (neg.f64 b))))
(/.f64 (*.f64 b 4) (*.f64 (/.f64 r (sin.f64 a)) -4))
(/.f64 (*.f64 b 4) (+.f64 (*.f64 -2 (/.f64 r (sin.f64 a))) (*.f64 -2 (/.f64 r (sin.f64 a)))))
(/.f64 (*.f64 b -4) (*.f64 2 (*.f64 r (/.f64 2 (sin.f64 a)))))
(/.f64 (*.f64 b -4) (*.f64 (/.f64 r (sin.f64 a)) 4))
(/.f64 (*.f64 (/.f64 (sin.f64 a) r) (*.f64 b -4)) 4)
(/.f64 (*.f64 (/.f64 (sin.f64 a) r) 4) (+.f64 (/.f64 -2 b) (/.f64 -2 b)))
(/.f64 (*.f64 (sin.f64 a) (/.f64 b r)) -1)
(/.f64 (/.f64 b (neg.f64 r)) (/.f64 1 (sin.f64 a)))
(/.f64 (*.f64 (sin.f64 a) -2) (+.f64 (/.f64 r b) (/.f64 r b)))
(/.f64 (*.f64 2 (*.f64 b 4)) (+.f64 (*.f64 (/.f64 r (sin.f64 a)) -4) (*.f64 (/.f64 r (sin.f64 a)) -4)))
(/.f64 (*.f64 2 (*.f64 b -4)) (+.f64 (*.f64 (/.f64 r (sin.f64 a)) 4) (*.f64 (/.f64 r (sin.f64 a)) 4)))
(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 a) r) (*.f64 b -4))) 8)
(/.f64 (/.f64 (+.f64 b b) (/.f64 r (sin.f64 a))) -2)
(/.f64 (/.f64 (*.f64 b 4) (/.f64 r (sin.f64 a))) -4)
(/.f64 (/.f64 (*.f64 b -4) (/.f64 r (sin.f64 a))) 4)
(/.f64 (/.f64 (neg.f64 b) 2) (/.f64 (/.f64 r (sin.f64 a)) 2))
(/.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b r)) (*.f64 (sin.f64 a) (/.f64 b r))) -2)
(/.f64 (+.f64 (/.f64 b (neg.f64 r)) (/.f64 b (neg.f64 r))) (+.f64 (/.f64 1 (sin.f64 a)) (/.f64 1 (sin.f64 a))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 a) r) (*.f64 b -4))) (*.f64 2 (*.f64 (/.f64 (sin.f64 a) r) (*.f64 b -4)))) 16)
(/.f64 (+.f64 (/.f64 (+.f64 b b) (/.f64 r (sin.f64 a))) (/.f64 (+.f64 b b) (/.f64 r (sin.f64 a)))) -4)
(/.f64 (+.f64 (/.f64 (*.f64 b 4) (/.f64 r (sin.f64 a))) (/.f64 (*.f64 b 4) (/.f64 r (sin.f64 a)))) -8)
(/.f64 (+.f64 (/.f64 (*.f64 b -4) (/.f64 r (sin.f64 a))) (/.f64 (*.f64 b -4) (/.f64 r (sin.f64 a)))) 8)
(/.f64 (neg.f64 (*.f64 b -2)) (neg.f64 (*.f64 r (/.f64 2 (sin.f64 a)))))
(/.f64 (neg.f64 (/.f64 b (neg.f64 r))) (neg.f64 (/.f64 1 (sin.f64 a))))
(pow.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) 1)
(neg.f64 (*.f64 (sin.f64 a) (/.f64 b r)))
(+.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 0)
(+.f64 0 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))
(+.f64 (/.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 2)) (/.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 2)))
(-.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 0)
(-.f64 0 (/.f64 (neg.f64 (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))
(*.f64 (sin.f64 b) (/.f64 1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 1)
(*.f64 1 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))
(*.f64 -1 (/.f64 (neg.f64 (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/2 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))
(*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 1/2))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 2)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 2))
(*.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) 2) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 1/2)
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 4)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) (sin.f64 b))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) 2) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))
(*.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) (*.f64 (sin.f64 b) 2))
(*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 1/2) (*.f64 (sin.f64 b) 2))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) -1)
(*.f64 (/.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 2)) 2)
(*.f64 (/.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 2) 2)
(*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 -1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) (neg.f64 (sin.f64 b)))
(pow.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 1)
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))
(+.f64 (/.f64 (cos.f64 a) r) 0)
(+.f64 0 (/.f64 (cos.f64 a) r))
(+.f64 (/.f64 (cos.f64 a) (+.f64 r r)) (/.f64 (cos.f64 a) (+.f64 r r)))
(-.f64 (/.f64 (cos.f64 a) r) 0)
(-.f64 0 (/.f64 (cos.f64 a) (neg.f64 r)))
(*.f64 (cos.f64 a) (/.f64 1 r))
(*.f64 (/.f64 (cos.f64 a) r) 1)
(*.f64 1 (/.f64 (cos.f64 a) r))
(*.f64 -1 (/.f64 (cos.f64 a) (neg.f64 r)))
(*.f64 (*.f64 (cos.f64 a) 2) (/.f64 1/2 r))
(*.f64 (*.f64 (cos.f64 a) 2) (*.f64 (/.f64 1 r) 1/2))
(*.f64 2 (/.f64 (cos.f64 a) (+.f64 r r)))
(*.f64 2 (/.f64 (/.f64 (cos.f64 a) r) 2))
(*.f64 2 (*.f64 (/.f64 1/2 r) (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) 1/2)
(*.f64 (*.f64 (cos.f64 a) 4) (/.f64 1 (*.f64 r 4)))
(*.f64 (/.f64 1 r) (cos.f64 a))
(*.f64 (neg.f64 (cos.f64 a)) (/.f64 -1 r))
(*.f64 1/2 (*.f64 (cos.f64 a) (/.f64 2 r)))
(*.f64 (/.f64 1/2 r) (*.f64 (cos.f64 a) 2))
(*.f64 (*.f64 (/.f64 1 r) 1/2) (*.f64 (cos.f64 a) 2))
(*.f64 (/.f64 (cos.f64 a) (neg.f64 r)) -1)
(*.f64 (/.f64 (cos.f64 a) (+.f64 r r)) 2)
(*.f64 (/.f64 (/.f64 (cos.f64 a) r) 2) 2)
(*.f64 (/.f64 1 (*.f64 r 4)) (*.f64 (cos.f64 a) 4))
(*.f64 (/.f64 -1 r) (neg.f64 (cos.f64 a)))
(pow.f64 (/.f64 (cos.f64 a) r) 1)
(neg.f64 (/.f64 (cos.f64 a) (neg.f64 r)))
(+.f64 (/.f64 (sin.f64 a) r) 0)
(+.f64 0 (/.f64 (sin.f64 a) r))
(+.f64 (/.f64 (sin.f64 a) (+.f64 r r)) (/.f64 (sin.f64 a) (+.f64 r r)))
(-.f64 (/.f64 (sin.f64 a) r) 0)
(-.f64 0 (/.f64 (sin.f64 a) (neg.f64 r)))
(*.f64 (sin.f64 a) (/.f64 1 r))
(*.f64 (/.f64 (sin.f64 a) r) 1)
(*.f64 1 (/.f64 (sin.f64 a) r))
(*.f64 -1 (/.f64 (sin.f64 a) (neg.f64 r)))
(*.f64 (*.f64 (sin.f64 a) 2) (/.f64 1/2 r))
(*.f64 (*.f64 (sin.f64 a) 2) (*.f64 (/.f64 1 r) 1/2))
(*.f64 2 (/.f64 (sin.f64 a) (+.f64 r r)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 a) r) 2))
(*.f64 2 (*.f64 (/.f64 1/2 r) (sin.f64 a)))
(*.f64 (*.f64 (sin.f64 a) (/.f64 2 r)) 1/2)
(*.f64 (*.f64 (sin.f64 a) 4) (/.f64 1 (*.f64 r 4)))
(*.f64 (/.f64 (sin.f64 a) (neg.f64 r)) -1)
(*.f64 (/.f64 1 r) (sin.f64 a))
(*.f64 (neg.f64 (sin.f64 a)) (/.f64 -1 r))
(*.f64 1/2 (*.f64 (sin.f64 a) (/.f64 2 r)))
(*.f64 (/.f64 1/2 r) (*.f64 (sin.f64 a) 2))
(*.f64 (*.f64 (/.f64 1 r) 1/2) (*.f64 (sin.f64 a) 2))
(*.f64 (/.f64 (sin.f64 a) (+.f64 r r)) 2)
(*.f64 (/.f64 (/.f64 (sin.f64 a) r) 2) 2)
(*.f64 (/.f64 1 (*.f64 r 4)) (*.f64 (sin.f64 a) 4))
(*.f64 (/.f64 -1 r) (neg.f64 (sin.f64 a)))
(pow.f64 (/.f64 (sin.f64 a) r) 1)
(neg.f64 (/.f64 (sin.f64 a) (neg.f64 r)))
Outputs
(*.f64 -1 (/.f64 (*.f64 a b) r))
(*.f64 -1 (*.f64 b (/.f64 a r)))
(neg.f64 (*.f64 a (/.f64 b r)))
(*.f64 a (neg.f64 (/.f64 b r)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 a 3) b) r)) (*.f64 -1 (/.f64 (*.f64 a b) r)))
(+.f64 (*.f64 -1 (*.f64 b (/.f64 a r))) (*.f64 1/6 (*.f64 b (/.f64 (pow.f64 a 3) r))))
(+.f64 (neg.f64 (*.f64 a (/.f64 b r))) (*.f64 1/6 (*.f64 b (/.f64 (pow.f64 a 3) r))))
(+.f64 (*.f64 a (neg.f64 (/.f64 b r))) (*.f64 b (*.f64 1/6 (/.f64 (pow.f64 a 3) r))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 a 3) b) r)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a b) r)) (*.f64 -1/120 (/.f64 (*.f64 (pow.f64 a 5) b) r))))
(+.f64 (*.f64 -1 (*.f64 b (/.f64 a r))) (+.f64 (*.f64 -1/120 (*.f64 b (/.f64 (pow.f64 a 5) r))) (*.f64 1/6 (*.f64 b (/.f64 (pow.f64 a 3) r)))))
(+.f64 (*.f64 1/6 (*.f64 b (/.f64 (pow.f64 a 3) r))) (+.f64 (neg.f64 (*.f64 a (/.f64 b r))) (*.f64 -1/120 (*.f64 b (/.f64 (pow.f64 a 5) r)))))
(+.f64 (+.f64 (*.f64 a (neg.f64 (/.f64 b r))) (*.f64 b (*.f64 1/6 (/.f64 (pow.f64 a 3) r)))) (*.f64 b (*.f64 -1/120 (/.f64 (pow.f64 a 5) r))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 a 3) b) r)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a b) r)) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (pow.f64 a 5) b) r)) (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 a 7) b) r)))))
(+.f64 (*.f64 -1 (*.f64 b (/.f64 a r))) (+.f64 (+.f64 (*.f64 -1/120 (*.f64 b (/.f64 (pow.f64 a 5) r))) (*.f64 1/5040 (*.f64 b (/.f64 (pow.f64 a 7) r)))) (*.f64 1/6 (*.f64 b (/.f64 (pow.f64 a 3) r)))))
(+.f64 (*.f64 -1/120 (*.f64 b (/.f64 (pow.f64 a 5) r))) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 b r))) (*.f64 b (*.f64 (/.f64 (pow.f64 a 7) r) 1/5040))) (*.f64 1/6 (*.f64 b (/.f64 (pow.f64 a 3) r)))))
(+.f64 (*.f64 b (*.f64 -1/120 (/.f64 (pow.f64 a 5) r))) (+.f64 (*.f64 b (*.f64 1/6 (/.f64 (pow.f64 a 3) r))) (+.f64 (*.f64 a (neg.f64 (/.f64 b r))) (*.f64 b (*.f64 1/5040 (/.f64 (pow.f64 a 7) r))))))
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(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 b (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r)))))
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(*.f64 (sin.f64 b) (/.f64 1 (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))))))
(*.f64 (sin.f64 b) (/.f64 1 (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r))))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) -1)
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 b (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r)))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r)))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 2)) 2)
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 b (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r)))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r)))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 2) 2)
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 b (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r)))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r)) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 (*.f64 4 (sin.f64 b)) (/.f64 1 (*.f64 4 (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r)))))))
(*.f64 (/.f64 1/4 (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))))) (*.f64 4 (sin.f64 b)))
(*.f64 (/.f64 1/4 (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r))))) (*.f64 4 (sin.f64 b)))
(*.f64 (/.f64 -1 (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) (neg.f64 (sin.f64 b)))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 b (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r)))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r)))))
(pow.f64 (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))) 1)
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 b (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r)))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (+.f64 (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r))) (/.f64 (cos.f64 a) r))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 b (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (/.f64 b (neg.f64 r)))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r)))))
(+.f64 (/.f64 (cos.f64 a) r) 0)
(/.f64 (cos.f64 a) r)
(+.f64 0 (/.f64 (cos.f64 a) r))
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) (+.f64 r r)) (/.f64 (cos.f64 a) (+.f64 r r)))
(+.f64 (*.f64 (/.f64 (cos.f64 a) r) 1/2) (*.f64 (/.f64 (cos.f64 a) r) 1/2))
(-.f64 (/.f64 (cos.f64 a) r) 0)
(/.f64 (cos.f64 a) r)
(-.f64 0 (/.f64 (cos.f64 a) (neg.f64 r)))
(/.f64 (cos.f64 a) r)
(*.f64 (cos.f64 a) (/.f64 1 r))
(/.f64 (cos.f64 a) r)
(*.f64 (/.f64 (cos.f64 a) r) 1)
(/.f64 (cos.f64 a) r)
(*.f64 1 (/.f64 (cos.f64 a) r))
(/.f64 (cos.f64 a) r)
(*.f64 -1 (/.f64 (cos.f64 a) (neg.f64 r)))
(/.f64 (cos.f64 a) r)
(*.f64 (*.f64 (cos.f64 a) 2) (/.f64 1/2 r))
(*.f64 (cos.f64 a) (*.f64 2 (/.f64 1/2 r)))
(*.f64 (*.f64 (cos.f64 a) 2) (*.f64 (/.f64 1 r) 1/2))
(/.f64 (cos.f64 a) r)
(*.f64 2 (/.f64 (cos.f64 a) (+.f64 r r)))
(/.f64 (cos.f64 a) r)
(*.f64 2 (/.f64 (/.f64 (cos.f64 a) r) 2))
(/.f64 (cos.f64 a) r)
(*.f64 2 (*.f64 (/.f64 1/2 r) (cos.f64 a)))
(*.f64 (cos.f64 a) (*.f64 2 (/.f64 1/2 r)))
(*.f64 (*.f64 (cos.f64 a) (/.f64 2 r)) 1/2)
(*.f64 (cos.f64 a) (*.f64 (/.f64 2 r) 1/2))
(*.f64 (*.f64 (cos.f64 a) 4) (/.f64 1 (*.f64 r 4)))
(*.f64 (cos.f64 a) (*.f64 4 (/.f64 1 (*.f64 r 4))))
(*.f64 (cos.f64 a) (*.f64 4 (/.f64 1/4 r)))
(*.f64 (/.f64 1 r) (cos.f64 a))
(/.f64 (cos.f64 a) r)
(*.f64 (neg.f64 (cos.f64 a)) (/.f64 -1 r))
(/.f64 (cos.f64 a) r)
(*.f64 1/2 (*.f64 (cos.f64 a) (/.f64 2 r)))
(*.f64 (cos.f64 a) (*.f64 (/.f64 2 r) 1/2))
(*.f64 (/.f64 1/2 r) (*.f64 (cos.f64 a) 2))
(*.f64 (cos.f64 a) (*.f64 2 (/.f64 1/2 r)))
(*.f64 (*.f64 (/.f64 1 r) 1/2) (*.f64 (cos.f64 a) 2))
(/.f64 (cos.f64 a) r)
(*.f64 (/.f64 (cos.f64 a) (neg.f64 r)) -1)
(/.f64 (cos.f64 a) r)
(*.f64 (/.f64 (cos.f64 a) (+.f64 r r)) 2)
(/.f64 (cos.f64 a) r)
(*.f64 (/.f64 (/.f64 (cos.f64 a) r) 2) 2)
(/.f64 (cos.f64 a) r)
(*.f64 (/.f64 1 (*.f64 r 4)) (*.f64 (cos.f64 a) 4))
(*.f64 (cos.f64 a) (*.f64 4 (/.f64 1 (*.f64 r 4))))
(*.f64 (cos.f64 a) (*.f64 4 (/.f64 1/4 r)))
(*.f64 (/.f64 -1 r) (neg.f64 (cos.f64 a)))
(/.f64 (cos.f64 a) r)
(pow.f64 (/.f64 (cos.f64 a) r) 1)
(/.f64 (cos.f64 a) r)
(neg.f64 (/.f64 (cos.f64 a) (neg.f64 r)))
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (sin.f64 a) r) 0)
(/.f64 (sin.f64 a) r)
(+.f64 0 (/.f64 (sin.f64 a) r))
(/.f64 (sin.f64 a) r)
(+.f64 (/.f64 (sin.f64 a) (+.f64 r r)) (/.f64 (sin.f64 a) (+.f64 r r)))
(/.f64 (sin.f64 a) r)
(-.f64 (/.f64 (sin.f64 a) r) 0)
(/.f64 (sin.f64 a) r)
(-.f64 0 (/.f64 (sin.f64 a) (neg.f64 r)))
(/.f64 (sin.f64 a) r)
(*.f64 (sin.f64 a) (/.f64 1 r))
(/.f64 (sin.f64 a) r)
(*.f64 (/.f64 (sin.f64 a) r) 1)
(/.f64 (sin.f64 a) r)
(*.f64 1 (/.f64 (sin.f64 a) r))
(/.f64 (sin.f64 a) r)
(*.f64 -1 (/.f64 (sin.f64 a) (neg.f64 r)))
(/.f64 (sin.f64 a) r)
(*.f64 (*.f64 (sin.f64 a) 2) (/.f64 1/2 r))
(/.f64 (sin.f64 a) r)
(*.f64 (*.f64 (sin.f64 a) 2) (*.f64 (/.f64 1 r) 1/2))
(/.f64 (sin.f64 a) r)
(*.f64 2 (/.f64 (sin.f64 a) (+.f64 r r)))
(/.f64 (sin.f64 a) r)
(*.f64 2 (/.f64 (/.f64 (sin.f64 a) r) 2))
(/.f64 (sin.f64 a) r)
(*.f64 2 (*.f64 (/.f64 1/2 r) (sin.f64 a)))
(/.f64 (sin.f64 a) r)
(*.f64 (*.f64 (sin.f64 a) (/.f64 2 r)) 1/2)
(*.f64 (sin.f64 a) (*.f64 (/.f64 2 r) 1/2))
(*.f64 (/.f64 2 r) (*.f64 (sin.f64 a) 1/2))
(*.f64 (/.f64 (sin.f64 a) (/.f64 r 2)) 1/2)
(*.f64 (*.f64 (sin.f64 a) 4) (/.f64 1 (*.f64 r 4)))
(*.f64 (/.f64 1/4 r) (*.f64 (sin.f64 a) 4))
(*.f64 (sin.f64 a) (*.f64 4 (/.f64 1/4 r)))
(*.f64 (/.f64 (sin.f64 a) (neg.f64 r)) -1)
(/.f64 (sin.f64 a) r)
(*.f64 (/.f64 1 r) (sin.f64 a))
(/.f64 (sin.f64 a) r)
(*.f64 (neg.f64 (sin.f64 a)) (/.f64 -1 r))
(/.f64 (sin.f64 a) r)
(*.f64 1/2 (*.f64 (sin.f64 a) (/.f64 2 r)))
(*.f64 (sin.f64 a) (*.f64 (/.f64 2 r) 1/2))
(*.f64 (/.f64 2 r) (*.f64 (sin.f64 a) 1/2))
(*.f64 (/.f64 (sin.f64 a) (/.f64 r 2)) 1/2)
(*.f64 (/.f64 1/2 r) (*.f64 (sin.f64 a) 2))
(/.f64 (sin.f64 a) r)
(*.f64 (*.f64 (/.f64 1 r) 1/2) (*.f64 (sin.f64 a) 2))
(/.f64 (sin.f64 a) r)
(*.f64 (/.f64 (sin.f64 a) (+.f64 r r)) 2)
(/.f64 (sin.f64 a) r)
(*.f64 (/.f64 (/.f64 (sin.f64 a) r) 2) 2)
(/.f64 (sin.f64 a) r)
(*.f64 (/.f64 1 (*.f64 r 4)) (*.f64 (sin.f64 a) 4))
(*.f64 (*.f64 (sin.f64 a) 4) (/.f64 1 (*.f64 r 4)))
(*.f64 (/.f64 1/4 r) (*.f64 (sin.f64 a) 4))
(*.f64 (sin.f64 a) (*.f64 4 (/.f64 1/4 r)))
(*.f64 (/.f64 -1 r) (neg.f64 (sin.f64 a)))
(/.f64 (sin.f64 a) r)
(pow.f64 (/.f64 (sin.f64 a) r) 1)
(/.f64 (sin.f64 a) r)
(neg.f64 (/.f64 (sin.f64 a) (neg.f64 r)))
(/.f64 (sin.f64 a) r)

eval780.0ms (3%)

Compiler

Compiled 22880 to 10629 computations (53.5% saved)

prune727.0ms (2.8%)

Pruning

73 alts after pruning (69 fresh and 4 done)

PrunedKeptTotal
New1159331192
Fresh173653
Picked011
Done336
Total1179731252
Error
10.6b
Counts
1252 → 73
Alt Table
Click to see full alt table
StatusErrorProgram
40.8b
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 r (cos.f64 a)) (/.f64 r (cos.f64 a))) r) (/.f64 2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
23.8b
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
23.9b
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
33.0b
(/.f64 (/.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r))))
33.6b
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)) (/.f64 1 (sin.f64 b))))
32.2b
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
32.2b
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
29.6b
(/.f64 (/.f64 1 (*.f64 (cos.f64 a) (/.f64 2 r))) (/.f64 1/2 (sin.f64 b)))
32.8b
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
29.6b
(/.f64 (/.f64 1/2 (/.f64 (cos.f64 a) r)) (/.f64 1/2 (sin.f64 b)))
33.0b
(/.f64 (*.f64 (/.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))) (/.f64 (/.f64 2 r) (cos.f64 (+.f64 a b)))) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r)))
22.2b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
29.5b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
22.2b
(/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
22.3b
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 b))) (/.f64 1/2 (sin.f64 b)))
31.6b
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
39.1b
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
42.3b
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
32.3b
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
22.3b
(/.f64 (*.f64 1/2 (/.f64 r (cos.f64 b))) (/.f64 1/2 (sin.f64 b)))
23.5b
(/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) r))
25.7b
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 b) (+.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2))) (*.f64 (pow.f64 a 3) (*.f64 1/6 (sin.f64 b))))) r))
23.5b
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) r))
30.5b
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) r))
22.2b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
29.5b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
23.3b
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 b) r) (*.f64 (/.f64 (sin.f64 b) r) (neg.f64 a))))
30.5b
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
12.7b
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
12.8b
(/.f64 (neg.f64 r) (/.f64 -1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
12.7b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
32.2b
(/.f64 r (/.f64 (cos.f64 a) b))
32.2b
(/.f64 b (/.f64 (cos.f64 a) r))
13.3b
(/.f64 2 (/.f64 2 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
13.3b
(/.f64 1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
13.3b
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
32.8b
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
32.8b
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
29.5b
(*.f64 (/.f64 (/.f64 r (cos.f64 a)) -2) (/.f64 1 (/.f64 -1/2 (sin.f64 b))))
36.2b
(*.f64 (/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 2))
29.5b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
23.4b
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))) (sin.f64 b))
33.4b
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))))
12.7b
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
32.3b
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
19.6b
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
22.2b
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
29.5b
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
23.0b
(*.f64 (/.f64 4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (sin.f64 b)))
39.8b
(*.f64 (/.f64 4 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (sin.f64 b)))
12.7b
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))
23.0b
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
39.8b
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) r)))
32.2b
(*.f64 (*.f64 (cos.f64 (+.f64 a b)) (*.f64 (/.f64 2 r) (/.f64 r (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 1/2 (cos.f64 (+.f64 a b))))))) (sin.f64 b))
42.2b
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
39.1b
(*.f64 (sin.f64 b) r)
23.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
23.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))))
31.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (neg.f64 b)) (*.f64 (pow.f64 b 2) (*.f64 -1/2 (cos.f64 a)))))))
22.2b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
32.3b
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
32.2b
(*.f64 r (/.f64 b (cos.f64 a)))
12.7b
(*.f64 r (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
41.8b
(*.f64 r b)
42.2b
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
41.8b
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
52.0b
(*.f64 b (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 (/.f64 (/.f64 2 r) (*.f64 r r)) (/.f64 2 (cos.f64 a)))))
42.2b
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
32.2b
(*.f64 b (/.f64 r (cos.f64 a)))
39.9b
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (+.f64 -1 (-.f64 1 (neg.f64 r)))))
52.4b
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
41.8b
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
41.8b
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
Compiler

Compiled 2337 to 1546 computations (33.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 b)
0.2b
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
0.2b
(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
1.5b
(cos.f64 (+.f64 b a))
Compiler

Compiled 38 to 16 computations (57.9% saved)

series2.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
b
@0
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
0.0ms
a
@0
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
0.0ms
b
@-inf
(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
0.0ms
b
@0
(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
0.0ms
a
@0
(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))

rewrite164.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1998×rational.json-1
1998×rational.json-2
1090×exponential.json-3
1090×rational.json-4
1090×rational.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01356
110344
227444
384144
4317844
5714344
Stop Event
node limit
Counts
2 → 91
Calls
Call 1
Inputs
(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 r) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 b a)) r)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 r) 2) (/.f64 2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 r 4) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 r 4) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 r)) (/.f64 -1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 r)) (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (*.f64 r 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 2 (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)) (neg.f64 (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 4)) (neg.f64 (*.f64 r 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))) (-.f64 0 (neg.f64 (+.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 (cos.f64 (+.f64 b a))))) (-.f64 0 (*.f64 2 (neg.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2))))) (#(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 -1 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (+.f64 r r)) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r 2))))) (#(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 (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r 2) (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 1/2) (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (sin.f64 b) (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (*.f64 r (neg.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (*.f64 r 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a)))) (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 neg.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))))))

simplify131.0ms (0.5%)

Algorithm
egg-herbie
Rules
1436×rational.json-simplify-44
1312×rational.json-simplify-35
1310×rational.json-simplify-47
1180×rational.json-simplify-51
806×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03065393
18065221
219365219
362565153
Stop Event
node limit
Counts
163 → 192
Calls
Call 1
Inputs
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (*.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 (+.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 (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 (cos.f64 (+.f64 b a)) r) 0)
(+.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))
(-.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)
(-.f64 0 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 1 (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 1 r) (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(/.f64 2 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 2)
(/.f64 -1 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(/.f64 -1 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (/.f64 1 r) 2) (/.f64 2 (cos.f64 (+.f64 b a))))
(/.f64 4 (*.f64 (*.f64 r 4) (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 4 (/.f64 (*.f64 r 4) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) 4)
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (+.f64 r r))
(/.f64 (neg.f64 (/.f64 1 r)) (/.f64 -1 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (/.f64 1 r)) (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) -1)
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 r))
(/.f64 -2 (neg.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) 8)
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (*.f64 r 4))
(/.f64 (*.f64 2 (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 2 (neg.f64 r)))
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)) 1/2)
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)) (neg.f64 (+.f64 r r)))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 4)) (neg.f64 (*.f64 r 4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))) (+.f64 r r))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))) (-.f64 0 (neg.f64 (+.f64 r r))))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (cos.f64 (+.f64 b a))))) (-.f64 0 (*.f64 2 (neg.f64 r))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(+.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)
(+.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)
(*.f64 1 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(*.f64 2 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(*.f64 2 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2))
(*.f64 2 (*.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (+.f64 r r) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(*.f64 (+.f64 r r) (/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 -1 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 -1 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))
(*.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r))) 1/2)
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)))
(*.f64 (*.f64 (sin.f64 b) (+.f64 r r)) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))
(*.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r 2))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r))
(*.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r))))
(*.f64 (/.f64 r 2) (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 2))
(*.f64 (*.f64 (sin.f64 b) 1/2) (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2) (*.f64 (sin.f64 b) 2))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) -1)
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))) -1)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) -1)
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (sin.f64 b) (+.f64 r r)))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)
(*.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (*.f64 r (neg.f64 (sin.f64 b))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) (+.f64 r r))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (*.f64 r 4))
(*.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (+.f64 r r))
(*.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))) (neg.f64 (sin.f64 b)))
(*.f64 (+.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(neg.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(neg.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
Outputs
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 -1 (*.f64 b (/.f64 (sin.f64 a) r))))
(+.f64 (/.f64 (cos.f64 a) r) (neg.f64 (*.f64 (sin.f64 a) (/.f64 b r))))
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b)))
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r))))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (*.f64 b (/.f64 (sin.f64 a) r))) (*.f64 -1/2 (*.f64 (pow.f64 b 2) (/.f64 (cos.f64 a) r)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) (/.f64 (pow.f64 b 2) r))) (+.f64 (/.f64 (cos.f64 a) r) (neg.f64 (*.f64 (sin.f64 a) (/.f64 b r)))))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b)) (*.f64 (cos.f64 a) (*.f64 (/.f64 (pow.f64 b 2) r) -1/2))))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r))) (*.f64 (cos.f64 a) (*.f64 (/.f64 (pow.f64 b 2) r) -1/2))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) r)) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(+.f64 (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (*.f64 -1 (*.f64 b (/.f64 (sin.f64 a) r))) (*.f64 -1/2 (*.f64 (pow.f64 b 2) (/.f64 (cos.f64 a) r))))) (*.f64 1/6 (*.f64 (pow.f64 b 3) (/.f64 (sin.f64 a) r))))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) (/.f64 (pow.f64 b 2) r))) (+.f64 (/.f64 (cos.f64 a) r) (neg.f64 (*.f64 (sin.f64 a) (/.f64 b r))))) (*.f64 1/6 (*.f64 (sin.f64 a) (/.f64 (pow.f64 b 3) r))))
(+.f64 (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (*.f64 (/.f64 (pow.f64 b 2) r) -1/2))) (+.f64 (*.f64 (sin.f64 a) (*.f64 (/.f64 (pow.f64 b 3) r) 1/6)) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r))) (+.f64 (+.f64 (*.f64 (cos.f64 a) (*.f64 (/.f64 (pow.f64 b 2) r) -1/2)) (*.f64 (sin.f64 a) (*.f64 (/.f64 (pow.f64 b 3) r) 1/6))) (/.f64 (cos.f64 a) r)))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r)
(/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r)
(/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r)
(/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r)
(/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (*.f64 -1 (*.f64 a (/.f64 (sin.f64 b) r))))
(+.f64 (/.f64 (cos.f64 b) r) (neg.f64 (*.f64 (sin.f64 b) (/.f64 a r))))
(+.f64 (/.f64 (cos.f64 b) r) (*.f64 (/.f64 (sin.f64 b) r) (neg.f64 a)))
(+.f64 (/.f64 (cos.f64 b) r) (*.f64 (sin.f64 b) (neg.f64 (/.f64 a r))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1 (*.f64 a (/.f64 (sin.f64 b) r))) (*.f64 -1/2 (*.f64 (cos.f64 b) (/.f64 (pow.f64 a 2) r)))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) (/.f64 a r))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (/.f64 (cos.f64 b) r)))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 (/.f64 (sin.f64 b) r) (neg.f64 a)) (*.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) r) (pow.f64 a 2)))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 (/.f64 a r))) (*.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) r) (pow.f64 a 2)))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) a) r)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 b) (/.f64 (pow.f64 a 2) r))) (+.f64 (*.f64 -1 (*.f64 a (/.f64 (sin.f64 b) r))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (/.f64 (sin.f64 b) r))))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (/.f64 (pow.f64 a 3) r))) (+.f64 (neg.f64 (*.f64 (sin.f64 b) (/.f64 a r))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (/.f64 (cos.f64 b) r))))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) r) (neg.f64 a)) (+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) r) (pow.f64 a 2))) (*.f64 (sin.f64 b) (*.f64 (/.f64 (pow.f64 a 3) r) 1/6)))))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 (/.f64 a r))) (+.f64 (/.f64 (cos.f64 b) r) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (cos.f64 b) r) (pow.f64 a 2))) (*.f64 (sin.f64 b) (*.f64 (/.f64 (pow.f64 a 3) r) 1/6)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r)
(/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r)
(/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r)
(/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 b -1))) r)
(/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(*.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (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 b (/.f64 r (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 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (*.f64 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.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 b (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))))
(+.f64 (*.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (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 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 b (/.f64 r (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 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (+.f64 (*.f64 1/6 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (*.f64 -1/2 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))) (*.f64 (pow.f64 b 4) -1)))))
(+.f64 (*.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.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 (sin.f64 a) (cos.f64 a)))) (*.f64 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))) (+.f64 (*.f64 b (/.f64 r (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))) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))))))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (+.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 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a)))) (*.f64 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))))))
(+.f64 (*.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) (+.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 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (*.f64 (+.f64 (*.f64 (sin.f64 a) (neg.f64 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a)))) (*.f64 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (*.f64 b -1))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 a (neg.f64 b)))))
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(*.f64 -1 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 r 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))))
(*.f64 (*.f64 r 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 4 (sin.f64 b)))))
(*.f64 4 (*.f64 r (/.f64 (/.f64 1 (/.f64 4 (sin.f64 b))) (cos.f64 (+.f64 a b)))))
(*.f64 r (*.f64 4 (/.f64 (/.f64 1 (/.f64 4 (sin.f64 b))) (cos.f64 (+.f64 a b)))))
(*.f64 4 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (/.f64 4 (sin.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r))) 1/2)
(*.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (+.f64 r r))))
(*.f64 1/2 (/.f64 (+.f64 r r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(*.f64 1/2 (/.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 1/2)))
(*.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)))
(*.f64 (sin.f64 b) (*.f64 4 (/.f64 1 (*.f64 4 (/.f64 (cos.f64 (+.f64 a b)) r)))))
(*.f64 (sin.f64 b) (*.f64 4 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) 4)))
(*.f64 (sin.f64 b) (*.f64 4 (/.f64 r (*.f64 4 (cos.f64 (+.f64 a b))))))
(*.f64 (*.f64 (sin.f64 b) (+.f64 r r)) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (sin.f64 b) (*.f64 (+.f64 r r) (/.f64 1 (*.f64 2 (cos.f64 (+.f64 a b))))))
(*.f64 (sin.f64 b) (*.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) (+.f64 r r)))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (*.f64 r (*.f64 2 (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r 2))
(*.f64 (sin.f64 b) (*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r 2)))
(*.f64 (sin.f64 b) (/.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) 2)) 2))
(*.f64 (sin.f64 b) (/.f64 r (*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) 2))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))
(*.f64 r (*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (*.f64 r 1/2)))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r))))
(*.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (+.f64 r r))))
(*.f64 1/2 (/.f64 (+.f64 r r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(*.f64 1/2 (/.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 1/2)))
(*.f64 (/.f64 r 2) (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r 2)))
(*.f64 (sin.f64 b) (/.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) 2)) 2))
(*.f64 (sin.f64 b) (/.f64 r (*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) 2))))
(*.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 2))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (sin.f64 b) 1/2) (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))))
(*.f64 r (*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (*.f64 r 1/2)))
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2) (*.f64 (sin.f64 b) 2))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) -1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (sin.f64 b) (+.f64 r r)))
(*.f64 (sin.f64 b) (*.f64 (+.f64 r r) (/.f64 1 (*.f64 2 (cos.f64 (+.f64 a b))))))
(*.f64 (sin.f64 b) (*.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) (+.f64 r r)))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (*.f64 r (*.f64 2 (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 2 r))))
(*.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (*.f64 r (neg.f64 (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) (+.f64 r r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)
(*.f64 2 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (sin.f64 b)))))
(*.f64 2 (/.f64 (/.f64 r (/.f64 2 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (*.f64 r 4))
(*.f64 (*.f64 r 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 4 (sin.f64 b)))))
(*.f64 4 (*.f64 r (/.f64 (/.f64 1 (/.f64 4 (sin.f64 b))) (cos.f64 (+.f64 a b)))))
(*.f64 r (*.f64 4 (/.f64 (/.f64 1 (/.f64 4 (sin.f64 b))) (cos.f64 (+.f64 a b)))))
(*.f64 4 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (/.f64 4 (sin.f64 b)))))
(*.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (+.f64 r r))
(*.f64 (+.f64 r r) (/.f64 2 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 4 (sin.f64 b)))))
(*.f64 (+.f64 r r) (/.f64 (/.f64 2 (/.f64 4 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 2)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 (sin.f64 b) (*.f64 4 (/.f64 1 (*.f64 4 (/.f64 (cos.f64 (+.f64 a b)) r)))))
(*.f64 (sin.f64 b) (*.f64 4 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) 4)))
(*.f64 (sin.f64 b) (*.f64 4 (/.f64 r (*.f64 4 (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))) (neg.f64 (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (+.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

localize13.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 1 r))
Compiler

Compiled 30 to 23 computations (23.3% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
0.2b
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
1.5b
(cos.f64 (+.f64 b a))
Compiler

Compiled 40 to 19 computations (52.5% saved)

series5.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
1.0ms
b
@-inf
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
1.0ms
a
@inf
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
0.0ms
b
@inf
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
0.0ms
b
@0
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))

rewrite78.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1618×exponential.json-3
1618×rational.json-1
1618×rational.json-2
1618×rational.json-4
1618×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01335
19635
227823
398523
4464223
Stop Event
node limit
Counts
1 → 75
Calls
Call 1
Inputs
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) (*.f64 b (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (+.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 b (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b b) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 b (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b 4) (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b 4) (*.f64 (*.f64 r 1/2) (/.f64 1/2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b 4) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 r 1/2) (*.f64 b (/.f64 1/2 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 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(+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b -2) (/.f64 1 (neg.f64 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b -2) (/.f64 1 (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (cos.f64 (+.f64 b a))) -2) (/.f64 1 (neg.f64 (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 1/2) (*.f64 b (/.f64 2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 b b) r) (/.f64 1/2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (/.f64 1/2 (cos.f64 (+.f64 b a)))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 4 (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 (+.f64 b b) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 2) (*.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b 1/2) (/.f64 4 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 r 1/2) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 r 1/2) (*.f64 b (/.f64 1/2 (cos.f64 (+.f64 b a))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 1/2) (*.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (*.f64 b 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 2 r)) (*.f64 b (/.f64 1/2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (/.f64 2 r))) (/.f64 (*.f64 b 4) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b b) (neg.f64 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b b) (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b (/.f64 2 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 2 r))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 b))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 r) 4))) (*.f64 b 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 b 4))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 b 4))) (*.f64 r 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))) (*.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (/.f64 2 r))) (*.f64 (/.f64 b (cos.f64 (+.f64 b a))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 b)))) (*.f64 r 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))) (*.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 b))) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 1)))))

simplify139.0ms (0.5%)

Algorithm
egg-herbie
Rules
1066×rational.json-simplify-51
1050×rational.json-simplify-41
944×rational.json-simplify-1
800×rational.json-simplify-46
782×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02553589
16253471
214253459
333333419
454783419
577253419
Stop Event
node limit
Counts
111 → 127
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 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 -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 4))) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3))))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 b r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 b r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 b r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 r b) (cos.f64 b))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 r b))) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 b r))) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b r) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 b r)) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 b r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 b r))) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b r) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 b r)) (pow.f64 (cos.f64 b) 3)))))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 b)) (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 r b) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 b r)) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 b r)) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 b) (*.f64 r b)) (pow.f64 (cos.f64 b) 2))))))))))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 r b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 r b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 r b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(+.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 0)
(+.f64 0 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 b (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) (*.f64 b (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(-.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 0)
(*.f64 b (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 b (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 b (+.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 b (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 2 (*.f64 b (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 (+.f64 b b) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 1)
(*.f64 1 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 b 4) (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 2))
(*.f64 (*.f64 b 4) (*.f64 (*.f64 r 1/2) (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 b 4) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 1/2))
(*.f64 4 (/.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 4))
(*.f64 4 (*.f64 (*.f64 r 1/2) (*.f64 b (/.f64 1/2 (cos.f64 (+.f64 b a))))))
(*.f64 4 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (*.f64 b 1/2)))
(*.f64 (+.f64 r r) (*.f64 b (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(*.f64 (+.f64 r r) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 b 4))))
(*.f64 (*.f64 b (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 r 1/2))
(*.f64 (*.f64 b (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) 2)
(*.f64 -1 (/.f64 (+.f64 b b) (neg.f64 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(*.f64 -1 (/.f64 (+.f64 b b) (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))))
(*.f64 -1 (/.f64 (*.f64 b (/.f64 2 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 2 r))))
(*.f64 (*.f64 r 4) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 b 4))))
(*.f64 (*.f64 r 4) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 b)))))
(*.f64 (*.f64 2 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))) 1/2)
(*.f64 (*.f64 b 8) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 r) 4))))
(*.f64 (/.f64 (*.f64 b 4) (cos.f64 (+.f64 b a))) (/.f64 1 (*.f64 2 (/.f64 2 r))))
(*.f64 (*.f64 b r) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 b (cos.f64 (+.f64 b a))) r)
(*.f64 (*.f64 b (*.f64 r 1/2)) (/.f64 2 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (*.f64 b (*.f64 r 1/2)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (+.f64 b b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(*.f64 (*.f64 b -2) (/.f64 1 (neg.f64 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(*.f64 (*.f64 b -2) (/.f64 1 (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))))
(*.f64 (neg.f64 r) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 b))))
(*.f64 (*.f64 (/.f64 b (cos.f64 (+.f64 b a))) -2) (/.f64 1 (neg.f64 (/.f64 2 r))))
(*.f64 (*.f64 r 1/2) (*.f64 b (/.f64 2 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 2 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) b)
(*.f64 (*.f64 (+.f64 b b) r) (/.f64 1/2 (cos.f64 (+.f64 b a))))
(*.f64 1/2 (*.f64 2 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))))
(*.f64 1/2 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 b))))
(*.f64 (*.f64 b (/.f64 1/2 (cos.f64 (+.f64 b a)))) (+.f64 r r))
(*.f64 (*.f64 b (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 4 (/.f64 2 r)))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 (+.f64 b b) r))
(*.f64 (/.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 4) 4)
(*.f64 (/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 2) (*.f64 b 4))
(*.f64 (*.f64 b 1/2) (/.f64 4 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (+.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) b)
(*.f64 (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))) b)
(*.f64 (*.f64 (*.f64 r 1/2) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 b 4))
(*.f64 (*.f64 (*.f64 r 1/2) (*.f64 b (/.f64 1/2 (cos.f64 (+.f64 b a))))) 4)
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) 1/2) (*.f64 b 4))
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2) (*.f64 b 1/2)) 4)
(*.f64 (/.f64 4 (/.f64 2 r)) (*.f64 b (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (*.f64 2 (/.f64 2 r))) (/.f64 (*.f64 b 4) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (+.f64 b b) (neg.f64 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))) -1)
(*.f64 (/.f64 (+.f64 b b) (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))) -1)
(*.f64 (/.f64 (*.f64 b (/.f64 2 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 2 r))) -1)
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 b))) 1/2)
(*.f64 (/.f64 4 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))) (*.f64 b 1/2))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 r) 4))) (*.f64 b 8))
(*.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 b 4))) (+.f64 r r))
(*.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 b 4))) (*.f64 r 4))
(*.f64 (/.f64 1 (neg.f64 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))) (*.f64 b -2))
(*.f64 (/.f64 1 (neg.f64 (/.f64 2 r))) (*.f64 (/.f64 b (cos.f64 (+.f64 b a))) -2))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 b)))) (*.f64 r 4))
(*.f64 (/.f64 1 (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))) (*.f64 b -2))
(*.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 b))) (neg.f64 r))
(pow.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 1)
Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (/.f64 (*.f64 r (*.f64 (pow.f64 b 2) (sin.f64 a))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(*.f64 r (+.f64 (/.f64 b (cos.f64 a)) (*.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(*.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
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(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (*.f64 b (/.f64 2 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 2 r))) -1)
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 b))) 1/2)
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 4 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))) (*.f64 b 1/2))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 r) 4))) (*.f64 b 8))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 b 4))) (+.f64 r r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 b 4))) (*.f64 r 4))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 1 (neg.f64 (*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))) (*.f64 b -2))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 1 (neg.f64 (/.f64 2 r))) (*.f64 (/.f64 b (cos.f64 (+.f64 b a))) -2))
(*.f64 (*.f64 (/.f64 b (cos.f64 (+.f64 b a))) -2) (/.f64 1 (neg.f64 (/.f64 2 r))))
(*.f64 (/.f64 b (cos.f64 (+.f64 b a))) (*.f64 -2 (/.f64 1 (/.f64 -2 r))))
(*.f64 (/.f64 b (cos.f64 (+.f64 b a))) (*.f64 -2 (/.f64 r -2)))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 b)))) (*.f64 r 4))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 1 (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))) (*.f64 b -2))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 b))) (neg.f64 r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(pow.f64 (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) 1)
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 r (sin.f64 b))
0.3b
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
1.0b
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
1.5b
(cos.f64 (+.f64 b a))
Compiler

Compiled 40 to 11 computations (72.5% saved)

series6.0ms (0%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
0.0ms
b
@0
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
0.0ms
b
@inf
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
0.0ms
b
@-inf
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
0.0ms
a
@-inf
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
0.0ms
a
@inf
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))

rewrite116.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
2078×rational.json-1
2078×rational.json-2
1598×rational.json-simplify-35
960×exponential.json-3
960×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01365
110465
227865
378965
4265065
5711765
Stop Event
node limit
Counts
3 → 130
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 r (sin.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (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 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) 2)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (*.f64 (sin.f64 b) 2)) (/.f64 1/2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (*.f64 (sin.f64 b) 2)) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (*.f64 (sin.f64 b) 4)) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a))))) 1/2)))) (#(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 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (neg.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 (neg.f64 b))) (/.f64 -1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r (*.f64 (sin.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 b) (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r 2) (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 1/2) (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1/2) (*.f64 r (*.f64 (sin.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r 2)) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 1/2)) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 r (sin.f64 b)))) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)) (*.f64 r (*.f64 (sin.f64 b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 r (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 neg.f64 (neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))))) (#(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 neg.f64 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 0)))) (#(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 -1 (-.f64 1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))))) (#(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 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (*.f64 (sin.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 1/2 r) (sin.f64 b)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (/.f64 1/2 r) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 1 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (/.f64 1 (*.f64 r (*.f64 (sin.f64 b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 1 (*.f64 (sin.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 -1 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r) (/.f64 -1 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (*.f64 r (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 1/2 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 r) (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 r) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 1 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 (neg.f64 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 (neg.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 b) 2)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))) (#(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 (cos.f64 (+.f64 b a)) (*.f64 r (*.f64 (sin.f64 b) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 2 (/.f64 1 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 r (*.f64 (sin.f64 b) 4))) (*.f64 (cos.f64 (+.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 1/2 r) (sin.f64 b)) (/.f64 (/.f64 1/2 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 (neg.f64 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 r (sin.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 r (sin.f64 (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 r (sin.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 r (sin.f64 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (*.f64 (sin.f64 b) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (*.f64 (sin.f64 b) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (sin.f64 (neg.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 r (sin.f64 b)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 r r) (*.f64 (sin.f64 b) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 r r) (*.f64 (sin.f64 b) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 r (sin.f64 (neg.f64 b))))))))

simplify141.0ms (0.5%)

Algorithm
egg-herbie
Rules
1338×rational.json-simplify-61
1218×rational.json-simplify-49
1194×rational.json-simplify-35
1142×rational.json-simplify-43
1054×rational.json-simplify-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03797158
18946976
222366938
369776938
Stop Event
node limit
Counts
226 → 226
Calls
Call 1
Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (cos.f64 a) (*.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 (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)
(+.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)
(+.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)
(*.f64 1 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(*.f64 2 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(*.f64 2 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(*.f64 2 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2))
(*.f64 2 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) 2)) (sin.f64 b)))
(*.f64 2 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)) r))
(*.f64 2 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(*.f64 (*.f64 r (*.f64 (sin.f64 b) 2)) (/.f64 1/2 (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (*.f64 (sin.f64 b) 2)) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1/2))
(*.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (*.f64 (sin.f64 b) 4)) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r 2)))
(*.f64 (+.f64 r r) (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (+.f64 r r) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 1/2)))
(*.f64 (*.f64 (sin.f64 b) (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a))))) 1/2)
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (*.f64 r (sin.f64 b)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 r)))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (neg.f64 r) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (*.f64 r (sin.f64 (neg.f64 b))) (/.f64 -1 (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))
(*.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r 2))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (*.f64 r (*.f64 (sin.f64 b) 2)))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (sin.f64 b) 2))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)) (+.f64 r r))
(*.f64 1/2 (*.f64 (sin.f64 b) (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 r 2) (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) 1/2) (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1/2) (*.f64 r (*.f64 (sin.f64 b) 2)))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r 2)) (*.f64 (sin.f64 b) 2))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 1/2)) (+.f64 r r))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 r (sin.f64 b)))) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (/.f64 1 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) -1)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) 2)) 2)
(*.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 (neg.f64 b))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)) (*.f64 r (*.f64 (sin.f64 b) 4)))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)
(*.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 2)
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 (neg.f64 b)))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (neg.f64 r))
(*.f64 (+.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 r (sin.f64 b)))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(neg.f64 (neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))
(+.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 0)
(+.f64 0 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(-.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 0)
(-.f64 0 (neg.f64 (/.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 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1)
(*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (*.f64 (sin.f64 b) 2))))
(*.f64 2 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2))
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 r) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2) 1/2)
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (/.f64 1/2 r) (sin.f64 b)))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) 1/2))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 1 (sin.f64 b)))
(*.f64 -1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 (neg.f64 b)))))
(*.f64 -1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 (neg.f64 b))))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (/.f64 1 (*.f64 r (*.f64 (sin.f64 b) 4))))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 1 (*.f64 (sin.f64 b) 2)))
(*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 4) 1/4)
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 r))
(*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 -1 (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r) (/.f64 -1 (sin.f64 b)))
(*.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) -1)
(*.f64 (*.f64 2 (/.f64 1 (*.f64 r (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 1/2 r))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2))
(*.f64 (/.f64 (/.f64 1/2 r) (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (/.f64 1/2 r) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))
(*.f64 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 1 (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 (neg.f64 b)))) -1)
(*.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 (neg.f64 b))) -1)
(*.f64 (/.f64 1 (*.f64 (sin.f64 b) 2)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(*.f64 (/.f64 -1 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (*.f64 (sin.f64 b) 2))) 2)
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 2 (/.f64 1 (*.f64 r (sin.f64 b)))))
(*.f64 1/4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 4))
(*.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2) 2)
(*.f64 (/.f64 1 (*.f64 r (*.f64 (sin.f64 b) 4))) (*.f64 (cos.f64 (+.f64 b a)) 4))
(*.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r))
(*.f64 (+.f64 (/.f64 (/.f64 1/2 r) (sin.f64 b)) (/.f64 (/.f64 1/2 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1)
(neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 (neg.f64 b)))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 (neg.f64 b))))
(+.f64 (*.f64 r (sin.f64 b)) 0)
(+.f64 0 (*.f64 r (sin.f64 b)))
(+.f64 -1 (-.f64 1 (*.f64 r (sin.f64 (neg.f64 b)))))
(-.f64 (*.f64 r (sin.f64 b)) 0)
(-.f64 0 (*.f64 r (sin.f64 (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 (*.f64 r (*.f64 (sin.f64 b) 2)) 2)
(/.f64 (*.f64 r (*.f64 (sin.f64 b) 4)) 4)
(/.f64 (*.f64 r (sin.f64 (neg.f64 b))) -1)
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) -2) -2)
(/.f64 (*.f64 (+.f64 r r) (*.f64 (sin.f64 b) 4)) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 r r) (*.f64 (sin.f64 b) 4))) 16)
(pow.f64 (*.f64 r (sin.f64 b)) 1)
(neg.f64 (*.f64 r (sin.f64 (neg.f64 b))))
Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(*.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 b (cos.f64 a))) (*.f64 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (*.f64 (pow.f64 b 2) (/.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 r (/.f64 b (cos.f64 a))) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 -1 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (*.f64 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (*.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (*.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 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 r (/.f64 b (cos.f64 a))) (+.f64 (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 -1 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 -1 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (+.f64 (*.f64 1/6 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (*.f64 -1/2 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))) (*.f64 (pow.f64 b 4) -1))) (*.f64 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (+.f64 (*.f64 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (*.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (*.f64 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))))))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (+.f64 (*.f64 r (*.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a)))) (*.f64 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))))))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) (+.f64 (*.f64 r (*.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 r (pow.f64 (cos.f64 a) 3))))))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)))))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a)))) (*.f64 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b (neg.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b (neg.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b (neg.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b (neg.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))
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(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 1 (/.f64 1 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) 2)) 2)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)) (*.f64 r (*.f64 (sin.f64 b) 4)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 2)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 (neg.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (neg.f64 r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (+.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(neg.f64 (neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(+.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 0)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(+.f64 0 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(-.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 0)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(-.f64 0 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.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 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (*.f64 (sin.f64 b) 2))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 2 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 r) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2) 1/2)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (/.f64 1/2 r) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) 1/2))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 1 (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 -1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 (neg.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 -1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 (neg.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) 4) (/.f64 1 (*.f64 r (*.f64 (sin.f64 b) 4))))
(*.f64 (cos.f64 (+.f64 b a)) (*.f64 4 (/.f64 1 (*.f64 (sin.f64 b) (*.f64 4 r)))))
(*.f64 4 (*.f64 (/.f64 (/.f64 (/.f64 1 (sin.f64 b)) r) 4) (cos.f64 (+.f64 b a))))
(*.f64 4 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1/4 (sin.f64 b)) r)))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 1 (*.f64 (sin.f64 b) 2)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 4) 1/4)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 r))
(*.f64 (/.f64 1 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 -1 (*.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r) (/.f64 -1 (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) -1)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (*.f64 2 (/.f64 1 (*.f64 r (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 1/2 r))
(*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 (sin.f64 b)) (/.f64 1/2 r)))
(*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1/2 r) (/.f64 2 (sin.f64 b))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (/.f64 1/2 r) (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1/2 r) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))
(*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 (sin.f64 b)) (/.f64 1/2 r)))
(*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1/2 r) (/.f64 2 (sin.f64 b))))
(*.f64 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 1 (*.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 (neg.f64 b)))) -1)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 (neg.f64 b))) -1)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 b) 2)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 -1 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (*.f64 (sin.f64 b) 2))) 2)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 2 (/.f64 1 (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 1/4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 4))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2) 2)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 (*.f64 r (*.f64 (sin.f64 b) 4))) (*.f64 (cos.f64 (+.f64 b a)) 4))
(*.f64 (cos.f64 (+.f64 b a)) (*.f64 4 (/.f64 1 (*.f64 (sin.f64 b) (*.f64 4 r)))))
(*.f64 4 (*.f64 (/.f64 (/.f64 (/.f64 1 (sin.f64 b)) r) 4) (cos.f64 (+.f64 b a))))
(*.f64 4 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1/4 (sin.f64 b)) r)))
(*.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (+.f64 (/.f64 (/.f64 1/2 r) (sin.f64 b)) (/.f64 (/.f64 1/2 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(*.f64 (cos.f64 (+.f64 b a)) (+.f64 (/.f64 1/2 (*.f64 r (sin.f64 b))) (/.f64 1/2 (*.f64 r (sin.f64 b)))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 (neg.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 (neg.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(+.f64 (*.f64 r (sin.f64 b)) 0)
(*.f64 r (sin.f64 b))
(+.f64 0 (*.f64 r (sin.f64 b)))
(*.f64 r (sin.f64 b))
(+.f64 -1 (-.f64 1 (*.f64 r (sin.f64 (neg.f64 b)))))
(*.f64 r (sin.f64 b))
(-.f64 (*.f64 r (sin.f64 b)) 0)
(*.f64 r (sin.f64 b))
(-.f64 0 (*.f64 r (sin.f64 (neg.f64 b))))
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 r (*.f64 (sin.f64 b) 2)) 2)
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 r (*.f64 (sin.f64 b) 4)) 4)
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 (neg.f64 b))) -1)
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) -2) -2)
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (+.f64 r r) (*.f64 (sin.f64 b) 4)) 8)
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 2 (*.f64 (+.f64 r r) (*.f64 (sin.f64 b) 4))) 16)
(*.f64 r (sin.f64 b))
(pow.f64 (*.f64 r (sin.f64 b)) 1)
(*.f64 r (sin.f64 b))
(neg.f64 (*.f64 r (sin.f64 (neg.f64 b))))
(*.f64 r (sin.f64 b))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (sin.f64 b))
0.2b
(*.f64 (sin.f64 b) (sin.f64 b))
0.3b
(/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) r))
10.3b
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) r)))
Compiler

Compiled 48 to 17 computations (64.6% saved)

series22.0ms (0.1%)

Counts
4 → 88
Calls

24 calls:

TimeVariablePointExpression
14.0ms
b
@-inf
(/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) r))
1.0ms
a
@inf
(/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) r))
1.0ms
b
@0
(/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) r))
1.0ms
b
@inf
(/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) r))
1.0ms
a
@-inf
(/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) r))

rewrite85.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1640×exponential.json-3
1640×rational.json-1
1640×rational.json-2
1640×rational.json-4
1640×rational.json-3
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
014100
111688
234888
3122080
4441080
Stop Event
node limit
Counts
4 → 160
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) r)))
(/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (sin.f64 b))
(/.f64 1 (sin.f64 b))
Outputs
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b) (sin.f64 b)))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))) (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))) (neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sin.f64 b) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sin.f64 b) (fabs.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (sin.f64 b)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (sin.f64 b)) (neg.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (sin.f64 b)) (fabs.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 b)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 b)) 1)))))

simplify113.0ms (0.4%)

Algorithm
egg-herbie
Rules
1354×rational.json-simplify-40
1142×rational.json-simplify-35
1066×rational.json-simplify-38
844×rational.json-simplify-49
718×rational.json-simplify-44
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04657496
114826898
259946614
Stop Event
node limit
Counts
248 → 291
Calls
Call 1
Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r))) (*.f64 (sin.f64 b) r))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/24 (*.f64 (sin.f64 b) r)) (*.f64 -1/4 (*.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r)))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 (*.f64 (sin.f64 b) r)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 (*.f64 (sin.f64 b) r)) (*.f64 -1/4 (*.f64 (sin.f64 b) r)))) (*.f64 1/48 (*.f64 (sin.f64 b) r)))) (pow.f64 a 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/24 (*.f64 (sin.f64 b) r)) (*.f64 -1/4 (*.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 r (*.f64 (cos.f64 a) b))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 r b) (cos.f64 a))) (/.f64 r (*.f64 (cos.f64 a) b)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 r (cos.f64 a))) (*.f64 1/120 (/.f64 r (cos.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 r b) (cos.f64 a))) (/.f64 r (*.f64 (cos.f64 a) b))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 r (cos.f64 a))) (*.f64 1/120 (/.f64 r (cos.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 r b) (cos.f64 a))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 5) (+.f64 (*.f64 -1/5040 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (/.f64 r (cos.f64 a))) (*.f64 1/120 (/.f64 r (cos.f64 a))))) (*.f64 1/720 (/.f64 r (cos.f64 a))))))) (/.f64 r (*.f64 (cos.f64 a) b)))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (sin.f64 b))
(+.f64 (/.f64 r (sin.f64 b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) r) (sin.f64 b))))
(+.f64 (/.f64 r (sin.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (/.f64 r (sin.f64 b))) (*.f64 1/24 (/.f64 r (sin.f64 b)))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) r) (sin.f64 b)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (/.f64 r (sin.f64 b))) (*.f64 1/24 (/.f64 r (sin.f64 b))))) (+.f64 (*.f64 1/48 (/.f64 r (sin.f64 b))) (*.f64 -1/720 (/.f64 r (sin.f64 b))))))) (+.f64 (/.f64 r (sin.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (/.f64 r (sin.f64 b))) (*.f64 1/24 (/.f64 r (sin.f64 b)))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) r) (sin.f64 b))))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -1/3 (pow.f64 b 4)))
(+.f64 (*.f64 2/45 (pow.f64 b 6)) (+.f64 (pow.f64 b 2) (*.f64 -1/3 (pow.f64 b 4))))
(+.f64 (*.f64 2/45 (pow.f64 b 6)) (+.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/315 (pow.f64 b 8)) (*.f64 -1/3 (pow.f64 b 4)))))
(pow.f64 (sin.f64 b) 2)
(pow.f64 (sin.f64 b) 2)
(pow.f64 (sin.f64 b) 2)
(pow.f64 (sin.f64 b) 2)
(pow.f64 (sin.f64 b) 2)
(pow.f64 (sin.f64 b) 2)
(pow.f64 (sin.f64 b) 2)
(pow.f64 (sin.f64 b) 2)
(/.f64 1 b)
(+.f64 (*.f64 1/6 b) (/.f64 1 b))
(+.f64 (*.f64 7/360 (pow.f64 b 3)) (+.f64 (*.f64 1/6 b) (/.f64 1 b)))
(+.f64 (*.f64 7/360 (pow.f64 b 3)) (+.f64 (*.f64 1/6 b) (+.f64 (/.f64 1 b) (*.f64 31/15120 (pow.f64 b 5)))))
(+.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))) 0)
(+.f64 0 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))))
(-.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))) 0)
(/.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b))))
(/.f64 (/.f64 r (*.f64 (sin.f64 b) (cos.f64 a))) (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))))
(/.f64 (/.f64 r (*.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (*.f64 (sin.f64 b) (/.f64 1 (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 b))))
(/.f64 (/.f64 r (*.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (*.f64 2 (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b)))) 2))
(/.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))) 1)
(/.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))) (*.f64 (sin.f64 b) (/.f64 1 (sin.f64 b))))
(/.f64 2 (*.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)) (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))) 2) 2)
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (sin.f64 b) (cos.f64 a)))) (/.f64 1 (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
(/.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))) 4) 4)
(/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))) (*.f64 2 (*.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) (sin.f64 b))))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) 4) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (sin.f64 b))
(/.f64 (*.f64 2 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))) (*.f64 2 (neg.f64 (*.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))))
(/.f64 (*.f64 2 (*.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (*.f64 2 (*.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))))) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)))
(/.f64 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (*.f64 (sin.f64 b) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)) (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (cos.f64 a)) (/.f64 (sin.f64 b) r))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 1 r)) (*.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)) (cos.f64 a)) (*.f64 (sin.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)) (/.f64 (cos.f64 a) r)) (*.f64 (sin.f64 b) 2))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b))))) (sin.f64 b)) (sin.f64 b))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b))))) (fabs.f64 (sin.f64 b))) (fabs.f64 (sin.f64 b)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 b))) (cos.f64 a)) (/.f64 1 r))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 b))) (*.f64 (cos.f64 a) 2)) (/.f64 1/2 r))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 b))) (*.f64 (cos.f64 a) (/.f64 2 r))) 1/2)
(/.f64 (/.f64 (*.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 b))) (/.f64 1 r)) (cos.f64 a))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (*.f64 (sin.f64 b) 2)) 1/2)
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) (/.f64 2 r)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))) (*.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 b)))) (neg.f64 (/.f64 (cos.f64 a) r)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (neg.f64 (sin.f64 b)))
(pow.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))) 1)
(+.f64 (/.f64 r (*.f64 (sin.f64 b) (cos.f64 a))) 0)
(+.f64 0 (/.f64 r (*.f64 (sin.f64 b) (cos.f64 a))))
(-.f64 (/.f64 r (*.f64 (sin.f64 b) (cos.f64 a))) 0)
(*.f64 (sin.f64 b) (/.f64 2 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 2 r)))))
(*.f64 1 (/.f64 r (*.f64 (sin.f64 b) (cos.f64 a))))
(*.f64 (/.f64 1 (sin.f64 b)) (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 1 (*.f64 (sin.f64 b) (cos.f64 a))))
(*.f64 (/.f64 r (*.f64 (sin.f64 b) (cos.f64 a))) 1)
(*.f64 (+.f64 r r) (/.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 b)))
(*.f64 (+.f64 r r) (*.f64 (/.f64 1 (sin.f64 b)) (/.f64 1/2 (cos.f64 a))))
(*.f64 (+.f64 r r) (*.f64 (/.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 b)) 1))
(*.f64 (+.f64 r r) (*.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 1 (sin.f64 b))))
(*.f64 (/.f64 2 (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 a)) 2))
(*.f64 (/.f64 2 (sin.f64 b)) (*.f64 1/2 (/.f64 r (cos.f64 a))))
(*.f64 (/.f64 2 (sin.f64 b)) (*.f64 (/.f64 (/.f64 r (cos.f64 a)) 2) 1))
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 2 r))))
(*.f64 2 (/.f64 (/.f64 r (*.f64 (sin.f64 b) (cos.f64 a))) 2))
(*.f64 2 (/.f64 r (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) 2))))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 2 r)))))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 2 r)))))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 1 (sin.f64 b)))
(*.f64 -1 (/.f64 (/.f64 1 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 a) r))))
(*.f64 -1 (/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 a)) r)))
(*.f64 -1 (/.f64 (/.f64 r (cos.f64 a)) (neg.f64 (sin.f64 b))))
(*.f64 (*.f64 r 4) (/.f64 1 (*.f64 (cos.f64 a) (*.f64 (sin.f64 b) 4))))
(*.f64 (*.f64 r (/.f64 2 (*.f64 (sin.f64 b) (cos.f64 a)))) 1/2)
(*.f64 (*.f64 (/.f64 1 (sin.f64 b)) 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) 4)))
(*.f64 (*.f64 2 (/.f64 r (cos.f64 a))) (/.f64 1 (*.f64 (sin.f64 b) 2)))
(*.f64 (neg.f64 r) (/.f64 1 (*.f64 (neg.f64 (cos.f64 a)) (sin.f64 b))))
(*.f64 (neg.f64 r) (/.f64 1 (neg.f64 (*.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 (neg.f64 (/.f64 1 (sin.f64 b))) (/.f64 -1 (/.f64 (cos.f64 a) r)))
(*.f64 (neg.f64 (/.f64 1 (sin.f64 b))) (/.f64 1 (/.f64 (neg.f64 (cos.f64 a)) r)))
(*.f64 (neg.f64 (/.f64 r (cos.f64 a))) (/.f64 -1 (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (/.f64 1 (sin.f64 b)) (/.f64 1 r)))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 (sin.f64 b) r)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 b) (cos.f64 a))) r)
(*.f64 (/.f64 1 (*.f64 (sin.f64 b) (cos.f64 a))) (/.f64 1 (/.f64 1 r)))
(*.f64 (/.f64 2 (cos.f64 a)) (/.f64 1 (*.f64 (sin.f64 b) (/.f64 2 r))))
(*.f64 1/2 (*.f64 r (/.f64 2 (*.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))
(*.f64 (/.f64 2 (*.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (sin.f64 b) (*.f64 (cos.f64 a) (/.f64 2 r))))
(*.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (+.f64 r r) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 b)) (+.f64 r r))
(*.f64 (/.f64 (/.f64 r (cos.f64 a)) 2) (/.f64 2 (sin.f64 b)))
(pow.f64 (/.f64 r (*.f64 (sin.f64 b) (cos.f64 a))) 1)
(+.f64 (*.f64 (sin.f64 b) (sin.f64 b)) 0)
(+.f64 0 (*.f64 (sin.f64 b) (sin.f64 b)))
(-.f64 (*.f64 (sin.f64 b) (sin.f64 b)) 0)
(/.f64 (sin.f64 b) (/.f64 1 (sin.f64 b)))
(/.f64 (sin.f64 b) (neg.f64 (neg.f64 (/.f64 1 (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) (sin.f64 b)) 1)
(/.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 1 (sin.f64 b))))
(/.f64 1 (/.f64 (*.f64 (sin.f64 b) (/.f64 1 (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 b))))
(/.f64 2 (*.f64 2 (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 4 (*.f64 2 (*.f64 2 (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))))))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)) 2)
(/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)) (*.f64 2 (*.f64 (sin.f64 b) (/.f64 1 (sin.f64 b)))))
(/.f64 (fabs.f64 (sin.f64 b)) (/.f64 1 (fabs.f64 (sin.f64 b))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) 4) 4)
(/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (fabs.f64 (sin.f64 b))) (fabs.f64 (sin.f64 b)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) (/.f64 1 (sin.f64 b))) (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 1 (sin.f64 b))) (/.f64 (*.f64 (sin.f64 b) (/.f64 1 (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 b))))
(/.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) 4))
(/.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) 4)) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 b))))) (*.f64 (sin.f64 b) 2))
(/.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (fabs.f64 (sin.f64 b)))) (*.f64 2 (fabs.f64 (sin.f64 b))))
(/.f64 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))))) (*.f64 2 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))) (sin.f64 b)) (*.f64 (sin.f64 b) 2))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))) (*.f64 (sin.f64 b) (sin.f64 b))) 2)
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))) (fabs.f64 (sin.f64 b))) (*.f64 2 (fabs.f64 (sin.f64 b))))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) 2)) 1/2)
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2)))) (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 b))))) (neg.f64 (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (fabs.f64 (sin.f64 b)))) (neg.f64 (fabs.f64 (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))))) (*.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))))) (neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) (fabs.f64 (sin.f64 b))) (*.f64 (sin.f64 b) (fabs.f64 (sin.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 (fabs.f64 (sin.f64 b)) (sin.f64 b)) (*.f64 (fabs.f64 (sin.f64 b)) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 (fabs.f64 (sin.f64 b)) (neg.f64 (sin.f64 b))) (*.f64 (fabs.f64 (sin.f64 b)) (neg.f64 (sin.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (fabs.f64 (sin.f64 b))) (*.f64 (neg.f64 (sin.f64 b)) (fabs.f64 (sin.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))) (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))) (neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b)))
(pow.f64 (*.f64 (sin.f64 b) (sin.f64 b)) 1)
(fabs.f64 (*.f64 (sin.f64 b) (sin.f64 b)))
(fabs.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))
(fabs.f64 (*.f64 (sin.f64 b) (fabs.f64 (sin.f64 b))))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 b)) (sin.f64 b)))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 b)) (neg.f64 (sin.f64 b))))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 b)))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 b)) (fabs.f64 (sin.f64 b))))
(fabs.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))))
(fabs.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b))))
(fabs.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))))
(+.f64 (/.f64 1 (sin.f64 b)) 0)
(+.f64 0 (/.f64 1 (sin.f64 b)))
(-.f64 (/.f64 1 (sin.f64 b)) 0)
(*.f64 (sin.f64 b) (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))))
(*.f64 1 (/.f64 1 (sin.f64 b)))
(*.f64 (/.f64 1 (sin.f64 b)) 1)
(*.f64 (/.f64 2 (sin.f64 b)) 1/2)
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 b)) 2))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 b)) 4) 1/4)
(*.f64 1/2 (/.f64 2 (sin.f64 b)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))) (sin.f64 b))
(*.f64 (/.f64 2 (*.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (sin.f64 b) 2))
(pow.f64 (/.f64 1 (sin.f64 b)) 1)
Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 -1/6 (*.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a)))))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 -1/6 (*.f64 r (/.f64 (pow.f64 b 3) (cos.f64 a)))))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a)))) (*.f64 1/120 (*.f64 (pow.f64 b 5) (/.f64 r (cos.f64 a))))))
(+.f64 (*.f64 -1/6 (*.f64 r (/.f64 (pow.f64 b 3) (cos.f64 a)))) (+.f64 (*.f64 1/120 (*.f64 r (/.f64 (pow.f64 b 5) (cos.f64 a)))) (*.f64 b (/.f64 r (cos.f64 a)))))
(+.f64 (*.f64 -1/6 (*.f64 r (/.f64 (pow.f64 b 3) (cos.f64 a)))) (+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 1/120 (*.f64 r (/.f64 (pow.f64 b 5) (cos.f64 a))))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
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(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 b)))
(*.f64 (sin.f64 b) (sin.f64 b))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))) (neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b)))
(*.f64 (sin.f64 b) (sin.f64 b))
(pow.f64 (*.f64 (sin.f64 b) (sin.f64 b)) 1)
(*.f64 (sin.f64 b) (sin.f64 b))
(fabs.f64 (*.f64 (sin.f64 b) (sin.f64 b)))
(*.f64 (sin.f64 b) (sin.f64 b))
(fabs.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))
(*.f64 (sin.f64 b) (sin.f64 b))
(fabs.f64 (*.f64 (sin.f64 b) (fabs.f64 (sin.f64 b))))
(*.f64 (sin.f64 b) (sin.f64 b))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (sin.f64 b))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 b)) (neg.f64 (sin.f64 b))))
(*.f64 (sin.f64 b) (sin.f64 b))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (sin.f64 b))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 b)) (fabs.f64 (sin.f64 b))))
(*.f64 (sin.f64 b) (sin.f64 b))
(fabs.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))))
(*.f64 (sin.f64 b) (sin.f64 b))
(fabs.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))) (*.f64 (sin.f64 b) (sin.f64 b))))
(*.f64 (sin.f64 b) (sin.f64 b))
(fabs.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))))
(*.f64 (sin.f64 b) (sin.f64 b))
(+.f64 (/.f64 1 (sin.f64 b)) 0)
(/.f64 1 (sin.f64 b))
(+.f64 0 (/.f64 1 (sin.f64 b)))
(/.f64 1 (sin.f64 b))
(-.f64 (/.f64 1 (sin.f64 b)) 0)
(/.f64 1 (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))))
(*.f64 (sin.f64 b) (/.f64 (/.f64 1 (sin.f64 b)) (sin.f64 b)))
(*.f64 1 (/.f64 1 (sin.f64 b)))
(/.f64 1 (sin.f64 b))
(*.f64 (/.f64 1 (sin.f64 b)) 1)
(/.f64 1 (sin.f64 b))
(*.f64 (/.f64 2 (sin.f64 b)) 1/2)
(*.f64 1/2 (/.f64 2 (sin.f64 b)))
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 b)) 2))
(*.f64 2 (/.f64 1/2 (sin.f64 b)))
(*.f64 2 (/.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))))
(*.f64 2 (/.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) 2)))
(*.f64 2 (/.f64 (/.f64 (*.f64 2 (/.f64 1 (sin.f64 b))) 2) 2))
(*.f64 (*.f64 (sin.f64 b) 2) (/.f64 1 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) 2))))
(*.f64 (sin.f64 b) (/.f64 (/.f64 1 (sin.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 b)) 4) 1/4)
(/.f64 1 (sin.f64 b))
(*.f64 1/2 (/.f64 2 (sin.f64 b)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 (/.f64 1 (sin.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1 (*.f64 (sin.f64 b) (sin.f64 b))))
(*.f64 (/.f64 2 (*.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (sin.f64 b) 2))
(/.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (*.f64 2 (/.f64 1 (sin.f64 b))) 2)
(pow.f64 (/.f64 1 (sin.f64 b)) 1)
(/.f64 1 (sin.f64 b))

eval502.0ms (1.9%)

Compiler

Compiled 24032 to 10673 computations (55.6% saved)

prune928.0ms (3.5%)

Pruning

84 alts after pruning (80 fresh and 4 done)

PrunedKeptTotal
New1110341144
Fresh184664
Picked101
Done448
Total1133841217
Error
10.3b
Counts
1217 → 84
Alt Table
Click to see full alt table
StatusErrorProgram
40.8b
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 r (cos.f64 a)) (/.f64 r (cos.f64 a))) r) (/.f64 2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
23.8b
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
39.6b
(/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (cos.f64 a)) (/.f64 (sin.f64 b) r))
23.9b
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
33.0b
(/.f64 (/.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r))))
29.6b
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 a))
32.2b
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
32.2b
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
30.2b
(/.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))) (*.f64 (sin.f64 b) (/.f64 1 (sin.f64 b))))
29.6b
(/.f64 (/.f64 1 (*.f64 (cos.f64 a) (/.f64 2 r))) (/.f64 1/2 (sin.f64 b)))
32.8b
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
29.6b
(/.f64 (/.f64 1/2 (/.f64 (cos.f64 a) r)) (/.f64 1/2 (sin.f64 b)))
33.0b
(/.f64 (*.f64 (/.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))) (/.f64 (/.f64 2 r) (cos.f64 (+.f64 a b)))) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r)))
39.6b
(/.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
22.2b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
29.5b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
22.3b
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 b))) (/.f64 1/2 (sin.f64 b)))
31.6b
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
39.1b
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
42.3b
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
32.3b
(/.f64 (*.f64 b 2) (/.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))))
30.4b
(/.f64 (*.f64 b 2) (+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) b) r))))
30.4b
(/.f64 (*.f64 b 2) (+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (*.f64 -2 (*.f64 b (/.f64 (sin.f64 a) r)))))
30.4b
(/.f64 (*.f64 b 2) (*.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (/.f64 2 r)))
42.0b
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
22.3b
(/.f64 (*.f64 1/2 (/.f64 r (cos.f64 b))) (/.f64 1/2 (sin.f64 b)))
23.5b
(/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) r))
22.2b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
29.5b
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
23.3b
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 b) r) (*.f64 (/.f64 (sin.f64 b) r) (neg.f64 a))))
22.2b
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 b)))
29.5b
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 a)))
12.8b
(/.f64 (neg.f64 r) (/.f64 -1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
29.5b
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
32.2b
(/.f64 r (/.f64 (cos.f64 a) b))
32.2b
(/.f64 b (/.f64 (cos.f64 a) r))
13.3b
(/.f64 2 (/.f64 2 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
13.3b
(/.f64 1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
22.6b
(/.f64 1 (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r))
32.9b
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b)))
22.5b
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
30.1b
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
32.8b
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
32.5b
(/.f64 1 (+.f64 (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r) (+.f64 (neg.f64 (/.f64 a r)) (+.f64 (*.f64 (pow.f64 a 2) (*.f64 (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r) -1/2)) (*.f64 1/6 (/.f64 (pow.f64 a 3) r))))))
25.4b
(/.f64 1 (+.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (neg.f64 (/.f64 a r))))
32.1b
(/.f64 1 (+.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (+.f64 (neg.f64 (/.f64 (sin.f64 a) r)) (*.f64 b (*.f64 (/.f64 (cos.f64 a) r) -1/3)))))
30.8b
(/.f64 1 (+.f64 (neg.f64 (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) (*.f64 b r))))
13.3b
(/.f64 1 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
32.8b
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
29.5b
(*.f64 (/.f64 (/.f64 r (cos.f64 a)) -2) (/.f64 1 (/.f64 -1/2 (sin.f64 b))))
29.5b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
33.4b
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))))
12.7b
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
19.6b
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
22.2b
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
32.3b
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
12.7b
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 (neg.f64 b)))
23.0b
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
44.5b
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 r (sin.f64 b)))
42.2b
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
39.1b
(*.f64 (sin.f64 b) r)
23.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
31.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (neg.f64 b)) (*.f64 (pow.f64 b 2) (*.f64 -1/2 (cos.f64 a)))))))
22.2b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
41.9b
(*.f64 r (/.f64 b (cos.f64 b)))
32.2b
(*.f64 r (/.f64 b (cos.f64 a)))
12.7b
(*.f64 r (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
41.8b
(*.f64 r b)
42.2b
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
41.8b
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
52.0b
(*.f64 b (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 (/.f64 (/.f64 2 r) (*.f64 r r)) (/.f64 2 (cos.f64 a)))))
42.2b
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
41.9b
(*.f64 b (/.f64 r (cos.f64 b)))
32.2b
(*.f64 b (/.f64 r (cos.f64 a)))
41.8b
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
56.4b
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
41.8b
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
46.6b
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
47.9b
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
56.6b
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
48.1b
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
47.9b
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
47.9b
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
41.8b
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
Compiler

Compiled 1327 to 904 computations (31.9% saved)

regimes983.0ms (3.8%)

Counts
146 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b)))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (*.f64 b 2) (/.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
(*.f64 b (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 (/.f64 (/.f64 2 r) (*.f64 r r)) (/.f64 2 (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
(/.f64 1 (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 a)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 a))
(*.f64 r (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 1/2 (/.f64 r (cos.f64 b))) (/.f64 1/2 (sin.f64 b)))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 b))) (/.f64 1/2 (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 1/2 (/.f64 (cos.f64 a) r)) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (sin.f64 b)))
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 (neg.f64 b)))
(/.f64 (neg.f64 r) (/.f64 -1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r))))
(*.f64 (/.f64 (/.f64 r (cos.f64 a)) -2) (/.f64 1 (/.f64 -1/2 (sin.f64 b))))
(/.f64 1/2 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 (sin.f64 b))) r))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 2 (/.f64 2 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1/2 (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 1 (*.f64 (cos.f64 a) (/.f64 2 r))) (/.f64 1/2 (sin.f64 b)))
(*.f64 r (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))))
(/.f64 1 (+.f64 (neg.f64 (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 1 (+.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (neg.f64 (/.f64 a r))))
(/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) (/.f64 1/2 (sin.f64 b)))
(/.f64 (*.f64 b 2) (*.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (/.f64 2 r)))
(/.f64 (*.f64 b 2) (+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (*.f64 -2 (*.f64 b (/.f64 (sin.f64 a) r)))))
(/.f64 (*.f64 b 2) (+.f64 (*.f64 2 (/.f64 (cos.f64 a) r)) (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) b) r))))
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 r (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))))
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 r -2))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) r))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) r))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 b) r) (*.f64 (/.f64 (sin.f64 b) r) (neg.f64 a))))
(/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (/.f64 2 r)))
(*.f64 b (/.f64 (/.f64 (neg.f64 (cos.f64 a)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))) (neg.f64 r)))
(/.f64 1 (+.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (+.f64 (neg.f64 (/.f64 (sin.f64 a) r)) (*.f64 b (*.f64 (/.f64 (cos.f64 a) r) -1/3)))))
(/.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (cos.f64 a)) (/.f64 (sin.f64 b) r))
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) r)))
(*.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(*.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (/.f64 4 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (sin.f64 b)))
(*.f64 (/.f64 4 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 b) 4))) (*.f64 (sin.f64 b) 2))
(/.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (sin.f64 b)))) (*.f64 (sin.f64 b) (/.f64 1 (sin.f64 b))))
(/.f64 r (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) r))
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 r (cos.f64 a)) (/.f64 r (cos.f64 a))) r) (/.f64 2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r))))
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)) (/.f64 1 (sin.f64 b))))
(*.f64 (*.f64 (cos.f64 (+.f64 a b)) (*.f64 (/.f64 2 r) (/.f64 r (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 1/2 (cos.f64 (+.f64 a b))))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))) (/.f64 (/.f64 2 r) (cos.f64 (+.f64 a b)))) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r)))
(/.f64 (/.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 1/2 (sin.f64 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 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (neg.f64 b)) (*.f64 (pow.f64 b 2) (*.f64 -1/2 (cos.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2))))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))))))
(*.f64 r (/.f64 (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)))))
(/.f64 (*.f64 r (*.f64 1/2 (+.f64 (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (/.f64 1 (cos.f64 b))))) (/.f64 1/2 (sin.f64 b)))
(*.f64 r (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(*.f64 r (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (sin.f64 b))))
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (+.f64 r r)))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (/.f64 (*.f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 2 r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 1 (+.f64 (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r) (+.f64 (neg.f64 (/.f64 a r)) (+.f64 (*.f64 (pow.f64 a 2) (*.f64 (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r) -1/2)) (*.f64 1/6 (/.f64 (pow.f64 a 3) r))))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (+.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2))) (*.f64 (pow.f64 a 3) (*.f64 1/6 (sin.f64 b)))))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 b) (+.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2))) (*.f64 (pow.f64 a 3) (*.f64 1/6 (sin.f64 b))))) r))
(*.f64 r (+.f64 (*.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 b (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Calls

5 calls:

277.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
190.0ms
r
184.0ms
a
134.0ms
b
127.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
ErrorSegmentsBranch
12.7b1r
12.7b1a
12.7b1b
12.7b1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
12.7b1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 2087 to 847 computations (59.4% saved)

regimes292.0ms (1.1%)

Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b)))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (*.f64 b 2) (/.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
(*.f64 b (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 (/.f64 (/.f64 2 r) (*.f64 r r)) (/.f64 2 (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

111.0ms
a
90.0ms
b
27.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
26.0ms
r
23.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
ErrorSegmentsBranch
12.7b1r
12.7b1a
12.7b1b
12.7b1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
12.7b1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 603 to 299 computations (50.4% saved)

regimes235.0ms (0.9%)

Counts
56 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b)))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (*.f64 b 2) (/.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
(*.f64 b (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 (/.f64 (/.f64 2 r) (*.f64 r r)) (/.f64 2 (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
Calls

3 calls:

79.0ms
b
72.0ms
r
69.0ms
a
Results
ErrorSegmentsBranch
20.3b2r
12.6b3a
12.7b3b
Compiler

Compiled 563 to 278 computations (50.6% saved)

bsearch86.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
0.0001380234496820723
0.015584267231996277
52.0ms
-214758752906.4699
-1.2793692560303216e-12
Results
36.0ms82×body1024valid
29.0ms164×body256valid
10.0ms34×body512valid
6.0msbody2048valid
Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes234.0ms (0.9%)

Counts
55 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b)))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (*.f64 b 2) (/.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
(*.f64 b (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 (/.f64 (/.f64 2 r) (*.f64 r r)) (/.f64 2 (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
Calls

3 calls:

76.0ms
b
74.0ms
a
70.0ms
r
Results
ErrorSegmentsBranch
20.3b2r
12.6b3a
12.7b3b
Compiler

Compiled 556 to 277 computations (50.2% saved)

bsearch82.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
0.0001380234496820723
0.015584267231996277
48.0ms
-214758752906.4699
-1.2793692560303216e-12
Results
32.0ms71×body1024valid
28.0ms168×body256valid
12.0ms41×body512valid
6.0msbody2048valid
Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes469.0ms (1.8%)

Counts
51 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b)))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (*.f64 b 2) (/.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
(*.f64 b (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 (/.f64 (/.f64 2 r) (*.f64 r r)) (/.f64 2 (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
Calls

3 calls:

231.0ms
r
150.0ms
a
62.0ms
b
Results
ErrorSegmentsBranch
20.3b2r
12.6b3a
12.7b3b
Compiler

Compiled 528 to 271 computations (48.7% saved)

bsearch189.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
83.0ms
0.0001380234496820723
0.015584267231996277
105.0ms
-214758752906.4699
-1.2793692560303216e-12
Results
82.0ms70×body1024valid
68.0ms28×body512valid
29.0ms183×body256valid
6.0msbody2048valid
Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes601.0ms (2.3%)

Counts
48 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b)))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (*.f64 b 2) (/.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
(*.f64 b (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 (/.f64 (/.f64 2 r) (*.f64 r r)) (/.f64 2 (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
Calls

3 calls:

291.0ms
a
174.0ms
r
123.0ms
b
Results
ErrorSegmentsBranch
20.3b2r
12.6b3a
12.7b3b
Compiler

Compiled 507 to 268 computations (47.1% saved)

bsearch262.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
147.0ms
0.0001380234496820723
0.015584267231996277
115.0ms
-214758752906.4699
-1.2793692560303216e-12
Results
127.0ms41×body512valid
89.0ms152×body256valid
39.0ms91×body1024valid
3.0msbody2048valid
Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes326.0ms (1.2%)

Counts
47 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b)))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (*.f64 b 2) (/.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
(*.f64 b (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 (/.f64 (/.f64 2 r) (*.f64 r r)) (/.f64 2 (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
Calls

3 calls:

198.0ms
a
58.0ms
b
58.0ms
r
Results
ErrorSegmentsBranch
20.3b2r
12.6b3a
12.7b3b
Compiler

Compiled 500 to 267 computations (46.6% saved)

bsearch318.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
209.0ms
0.0001380234496820723
0.015584267231996277
109.0ms
-214758752906.4699
-1.2793692560303216e-12
Results
270.0ms77×body1024valid
27.0ms161×body256valid
12.0ms44×body512valid
4.0msbody2048valid
Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes74.0ms (0.3%)

Counts
46 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b)))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (*.f64 b 2) (/.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
(*.f64 b (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 (/.f64 (/.f64 2 r) (*.f64 r r)) (/.f64 2 (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
Calls

3 calls:

22.0ms
b
21.0ms
r
20.0ms
a
Results
ErrorSegmentsBranch
29.5b1r
29.5b1a
29.5b1b
Compiler

Compiled 493 to 265 computations (46.2% saved)

regimes137.0ms (0.5%)

Counts
45 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b)))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (*.f64 b 2) (/.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
(*.f64 b (/.f64 (/.f64 1 (*.f64 r r)) (/.f64 (/.f64 (/.f64 2 r) (*.f64 r r)) (/.f64 2 (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
Outputs
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))
Calls

3 calls:

61.0ms
a
43.0ms
b
21.0ms
r
Results
ErrorSegmentsBranch
31.6b1r
30.3b3a
30.5b2b
Compiler

Compiled 486 to 263 computations (45.9% saved)

bsearch75.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
0.0001380234496820723
0.015584267231996277
41.0ms
-4.433996552822834e+20
-218727718191.35272
Results
28.0ms58×body1024valid
28.0ms153×body256valid
11.0ms40×body512valid
4.0msbody2048valid
0.0msbody256infinite
Compiler

Compiled 466 to 365 computations (21.7% saved)

regimes139.0ms (0.5%)

Counts
42 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 b (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r 1/2) (/.f64 1/2 (sin.f64 b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(*.f64 b (/.f64 (/.f64 (*.f64 r r) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 b r)) r))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 b r))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b)))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (*.f64 b r) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(*.f64 b (*.f64 (*.f64 r r) (/.f64 1 (*.f64 r (cos.f64 a)))))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(/.f64 (*.f64 b 2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (*.f64 b 2) (/.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(*.f64 b (*.f64 (/.f64 1 (cos.f64 a)) (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (/.f64 (/.f64 (/.f64 2 (cos.f64 a)) r) (/.f64 2 (*.f64 r r))))
Outputs
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) r)
Calls

3 calls:

60.0ms
a
52.0ms
b
18.0ms
r
Results
ErrorSegmentsBranch
32.2b1r
30.5b3a
29.6b3b
Compiler

Compiled 428 to 229 computations (46.5% saved)

bsearch87.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
44.0ms
1.5810184080718484e-6
7.170587166750324
43.0ms
-6.366760859062258e+50
-1.3719107501842643e+44
Results
37.0ms86×body1024valid
32.0ms167×body256valid
12.0ms33×body512valid
1.0msbody2048valid
Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes22.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
(*.f64 (sin.f64 b) r)
Outputs
(*.f64 (sin.f64 b) r)
Calls

3 calls:

7.0ms
a
6.0ms
b
6.0ms
r
Results
ErrorSegmentsBranch
39.1b1r
39.1b1a
39.1b1b
Compiler

Compiled 142 to 96 computations (32.4% saved)

regimes23.0ms (0.1%)

Accuracy

Total -17.2b remaining (-41.2%)

Threshold costs -17.2b (-41.2%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 b (*.f64 1 (/.f64 1 (/.f64 1 r))))
(*.f64 b (*.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 r)))))
(*.f64 b (*.f64 1 (*.f64 r (*.f64 r (/.f64 1 r)))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1 r) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 1/2 r) (/.f64 r (/.f64 1/2 r)))))
(*.f64 b (*.f64 1 (/.f64 (*.f64 r (*.f64 r r)) (*.f64 r r))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 2 r) (/.f64 1 (*.f64 (/.f64 1 r) (/.f64 2 r))))))
(*.f64 b (*.f64 1 (*.f64 (/.f64 (/.f64 1 r) (*.f64 (/.f64 1 r) (/.f64 2 r))) 2)))
(*.f64 b (*.f64 1 (*.f64 (/.f64 r (*.f64 (/.f64 1 r) (/.f64 2 r))) (/.f64 2 (*.f64 r r)))))
Outputs
(*.f64 r b)
Calls

3 calls:

9.0ms
r
6.0ms
b
5.0ms
a
Results
ErrorSegmentsBranch
41.8b1r
41.8b1a
41.8b1b
Compiler

Compiled 138 to 94 computations (31.9% saved)

simplify9.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086678
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a -6456360425798343/9223372036854775808) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 7148113328562451/4611686018427387904) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -6788401819125115/73786976294838206464) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 6456360425798343/36893488147419103232) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -534955578137577/4611686018427387904) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 1152921504606847/4611686018427387904) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))))
(if (<=.f64 a -6640827866535439/9223372036854775808) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 5764607523034235/1152921504606846976) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -6456360425798343/36893488147419103232) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 5072854620270127/9223372036854775808) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(if (<=.f64 a -220000000000) (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b)))) (if (<=.f64 a 2582544170319337/18446744073709551616) (*.f64 (sin.f64 b) r) (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))))
(if (<=.f64 b -140000000000000004427089716002557937628217344) (*.f64 (sin.f64 b) r) (if (<=.f64 b 8196551321814303/4503599627370496) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a -6456360425798343/9223372036854775808) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 7148113328562451/4611686018427387904) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -6788401819125115/73786976294838206464) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 6456360425798343/36893488147419103232) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -534955578137577/4611686018427387904) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 1152921504606847/4611686018427387904) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))))
(if (<=.f64 a -6640827866535439/9223372036854775808) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 5764607523034235/1152921504606846976) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -6456360425798343/36893488147419103232) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 5072854620270127/9223372036854775808) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(if (<=.f64 a -220000000000) (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b)))) (if (<=.f64 a 2582544170319337/18446744073709551616) (*.f64 (sin.f64 b) r) (/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (+.f64 (*.f64 b 1/12) (*.f64 1/2 (/.f64 1 b))))))
(if (<=.f64 b -140000000000000004427089716002557937628217344) (*.f64 (sin.f64 b) r) (if (<=.f64 b 8196551321814303/4503599627370496) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)
Compiler

Compiled 279 to 166 computations (40.5% saved)

soundness730.0ms (2.8%)

Algorithm
egg-herbie
Rules
2062×rational.json-simplify-1
2062×rational.json-simplify-1
2062×rational.json-simplify-1
1752×rational.json-simplify-35
1446×rational.json-simplify-35
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
12227
23427
35527
410427
521227
651427
7139527
8254627
9403927
10475327
11524227
12607627
13647627
14788727
01127
12227
23427
35527
410427
521227
651427
7139527
8254627
9403927
10475327
11524227
12607627
13647627
14788727
01127
12227
23427
35527
410427
521227
651427
7139527
8254627
9403927
10475327
11524227
12607627
13647627
14788727
03585326
19575070
226524972
369684972
04657496
114826898
259946614
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 249 to 116 computations (53.4% saved)

end80.0ms (0.3%)

Compiler

Compiled 246 to 92 computations (62.6% saved)

Profiling

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