Details

Time bar (total: 12.2s)

analyze450.0ms (3.7%)

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

Compiled 13 to 9 computations (30.8% saved)

sample3.8s (31%)

Results
2.5s3615×body1024valid
537.0ms3053×body256valid
528.0ms1388×body512valid
176.0ms200×body2048valid
0.0msbody1024infinite
Bogosity

preprocess108.0ms (0.9%)

Algorithm
egg-herbie
Rules
934×rational_best_oopsla_all_46_json_45_simplify-80
914×rational_best_oopsla_all_46_json_45_simplify-49
872×rational_best_oopsla_all_46_json_45_simplify-10
842×rational_best_oopsla_all_46_json_45_simplify-30
812×rational_best_oopsla_all_46_json_45_simplify-77
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025108
147108
2127108
3427108
41719108
54051108
67245108
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 (*.f64 (sin.f64 b) a) (cos.f64 (+.f64 r b)))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 r a)))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify161.0ms (1.3%)

Algorithm
egg-herbie
Rules
1878×rational_best_oopsla_all_46_json_45_simplify-10
1096×rational_best_oopsla_all_46_json_45_simplify-49
1036×rational_best_oopsla_all_46_json_45_simplify-7
964×rational_best_oopsla_all_46_json_45_simplify-72
708×rational_best_oopsla_all_46_json_45_simplify-30
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
11727
23927
312227
447827
5250327
6531127
7797227
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

eval1.0ms (0%)

Compiler

Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
15.3b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 r (sin.f64 b))
0.2b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
3.7b
(cos.f64 (+.f64 b a))
Compiler

Compiled 28 to 8 computations (71.4% saved)

series9.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

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

rewrite80.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1876×rational_best_oopsla_all_46_json-2
1876×rational_best_oopsla_all_46_json-1
1876×rational_best_oopsla_all_46_json-4
1876×rational_best_oopsla_all_46_json-3
814×rational_best_oopsla_all_46_json_45_simplify-7
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
16349
217849
372049
4361849
Stop Event
node limit
Counts
3 → 85
Calls
Call 1
Inputs
(cos.f64 (+.f64 b a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
Outputs
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simplify97.0ms (0.8%)

Algorithm
egg-herbie
Rules
1342×rational_best_oopsla_all_46_json_45_simplify-49
1296×rational_best_oopsla_all_46_json_45_simplify-13
928×rational_best_oopsla_all_46_json_45_simplify-89
780×rational_best_oopsla_all_46_json_45_simplify-24
724×rational_best_oopsla_all_46_json_45_simplify-23
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02964613
110464465
243374457
Stop Event
node limit
Counts
169 → 164
Calls
Call 1
Inputs
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(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)
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(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
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(cos.f64 (-.f64 b (*.f64 -1 a)))
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(-.f64 0 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) 1)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 1 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) -1)
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 r (sin.f64 b)) 0)
(+.f64 (*.f64 r (sin.f64 b)) (*.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))))
(+.f64 (*.f64 r (sin.f64 b)) (*.f64 0 (*.f64 r (/.f64 (sin.f64 b) r))))
(+.f64 (*.f64 r (sin.f64 b)) (*.f64 0 (*.f64 (sin.f64 b) (*.f64 (/.f64 r r) (/.f64 r r)))))
(+.f64 (*.f64 r (sin.f64 b)) (*.f64 0 (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b)))))
(+.f64 0 (*.f64 r (sin.f64 b)))
(+.f64 (*.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))) (*.f64 r (sin.f64 b)))
(+.f64 (*.f64 0 (*.f64 r (/.f64 (sin.f64 b) r))) (*.f64 r (sin.f64 b)))
(+.f64 (*.f64 0 (*.f64 (sin.f64 b) (*.f64 (/.f64 r r) (/.f64 r r)))) (*.f64 r (sin.f64 b)))
(+.f64 (*.f64 0 (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 r (sin.f64 b)))
(-.f64 (*.f64 r (sin.f64 b)) 0)
(-.f64 0 (*.f64 (sin.f64 b) (neg.f64 r)))
(-.f64 (*.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) (*.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 r r))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 r r) (/.f64 r r)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (/.f64 r r)) (*.f64 (sin.f64 b) (/.f64 r r))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 (/.f64 r r) (/.f64 r r))) (*.f64 (sin.f64 b) (*.f64 (/.f64 r r) (/.f64 r r)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 r (/.f64 (sin.f64 b) r)) (*.f64 r (/.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))))
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))
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 -1/2 (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (neg.f64 b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2))) (*.f64 (sin.f64 a) (*.f64 1/6 (pow.f64 b 3))))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) (neg.f64 b)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))) (*.f64 (sin.f64 a) (*.f64 1/6 (pow.f64 b 3))))))
(+.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (+.f64 (*.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2))) (*.f64 (sin.f64 a) (*.f64 1/6 (pow.f64 b 3)))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (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 (sin.f64 b) (*.f64 a -1)))
(+.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 -1/2 (*.f64 (cos.f64 b) (pow.f64 a 2))) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (*.f64 a -1))))
(+.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 -1/2 (*.f64 (cos.f64 b) (pow.f64 a 2)))))
(+.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (pow.f64 a 2) (*.f64 -1/2 (cos.f64 b)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 (*.f64 (sin.f64 b) (*.f64 1/6 (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 b) (pow.f64 a 2))) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (*.f64 a -1)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 b) (pow.f64 a 2))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 -1/2 (cos.f64 b))) (+.f64 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (*.f64 (sin.f64 b) (*.f64 1/6 (pow.f64 a 3)))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.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 b r) (cos.f64 a)) (/.f64 (*.f64 (pow.f64 b 2) (*.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 (*.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 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (*.f64 (sin.f64 a) r)) (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 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.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 (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 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (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)))))))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(-.f64 0 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) 1)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 1 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) -1)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(neg.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(+.f64 (*.f64 r (sin.f64 b)) 0)
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 r (sin.f64 b)) (*.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))))
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 r (sin.f64 b)) (*.f64 0 (*.f64 r (/.f64 (sin.f64 b) r))))
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 r (sin.f64 b)) (*.f64 0 (*.f64 (sin.f64 b) (*.f64 (/.f64 r r) (/.f64 r r)))))
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 r (sin.f64 b)) (*.f64 0 (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b)))))
(*.f64 (sin.f64 b) r)
(+.f64 0 (*.f64 r (sin.f64 b)))
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))) (*.f64 r (sin.f64 b)))
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 0 (*.f64 r (/.f64 (sin.f64 b) r))) (*.f64 r (sin.f64 b)))
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 0 (*.f64 (sin.f64 b) (*.f64 (/.f64 r r) (/.f64 r r)))) (*.f64 r (sin.f64 b)))
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 0 (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 r (sin.f64 b)))
(*.f64 (sin.f64 b) r)
(-.f64 (*.f64 r (sin.f64 b)) 0)
(*.f64 (sin.f64 b) r)
(-.f64 0 (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 (sin.f64 b) r)
(-.f64 (*.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) (*.f64 (sin.f64 b) (neg.f64 r))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 r r))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b)))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 r r) (/.f64 r r)))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (/.f64 r r) (/.f64 r r)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (/.f64 r r)) (*.f64 (sin.f64 b) (/.f64 r r))))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 (/.f64 r r) (/.f64 r r))) (*.f64 (sin.f64 b) (*.f64 (/.f64 r r) (/.f64 r r)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (sin.f64 b) (*.f64 (/.f64 r r) (/.f64 r r))) (*.f64 (sin.f64 b) (*.f64 (/.f64 r r) (/.f64 r r)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (/.f64 r r) (*.f64 (sin.f64 b) (/.f64 r r))) (*.f64 (/.f64 r r) (*.f64 (sin.f64 b) (/.f64 r r)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 r (/.f64 (sin.f64 b) r)) (*.f64 r (/.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 r (/.f64 (sin.f64 b) r)) (*.f64 r (/.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b)))))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r))))
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 (sin.f64 b) r)

eval42.0ms (0.3%)

Compiler

Compiled 4480 to 1363 computations (69.6% saved)

prune37.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New15113164
Fresh000
Picked011
Done000
Total15114165
Error
14.1b
Counts
165 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(/.f64 (+.f64 (*.f64 b r) (*.f64 (pow.f64 b 3) (*.f64 r -1/6))) (cos.f64 (+.f64 b a)))
24.6b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
31.0b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2)))))
26.3b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (pow.f64 a 2) (*.f64 -1/2 (cos.f64 b))))))
25.8b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))
30.5b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
29.0b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
31.6b
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
31.5b
(/.f64 (*.f64 b r) (cos.f64 a))
26.7b
(+.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)))
26.1b
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)))
21.6b
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
Compiler

Compiled 506 to 304 computations (39.9% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (cos.f64 (+.f64 b a)))
0.2b
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
0.2b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))
3.7b
(cos.f64 (+.f64 b a))
Compiler

Compiled 74 to 22 computations (70.3% saved)

series11.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
6.0ms
b
@-inf
(/.f64 1 (cos.f64 (+.f64 b a)))
1.0ms
b
@inf
(/.f64 1 (cos.f64 (+.f64 b a)))
1.0ms
a
@0
(/.f64 1 (cos.f64 (+.f64 b a)))
1.0ms
b
@0
(/.f64 1 (cos.f64 (+.f64 b a)))
0.0ms
a
@-inf
(/.f64 1 (cos.f64 (+.f64 b a)))

rewrite121.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1074×rational_best_oopsla_all_46_json_45_simplify-23
862×rational_best_oopsla_all_46_json_45_simplify-89
840×rational_best_oopsla_all_46_json_45_simplify-13
736×rational_best_oopsla_all_46_json-2
736×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015115
19477
232577
3164577
4760277
Stop Event
node limit
Counts
3 → 105
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
Outputs
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simplify125.0ms (1%)

Algorithm
egg-herbie
Rules
1228×rational_best_oopsla_all_46_json_45_simplify-72
986×rational_best_oopsla_all_46_json_45_simplify-89
924×rational_best_oopsla_all_46_json_45_simplify-7
826×rational_best_oopsla_all_46_json_45_simplify-24
754×rational_best_oopsla_all_46_json_45_simplify-74
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03537169
112186941
247056941
Stop Event
node limit
Counts
189 → 172
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))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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(fabs.f64 (*.f64 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (fabs.f64 (cos.f64 (+.f64 b a)))))
(+.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 0)
(+.f64 0 (/.f64 1 (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 0)
(-.f64 0 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1)
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 1 (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))))))
(*.f64 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) -1)
(*.f64 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))))
(*.f64 -1 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))) (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(neg.f64 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.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 b r) (cos.f64 a)) (/.f64 (*.f64 r (*.f64 (sin.f64 a) (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (pow.f64 b 2) (*.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 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 r (*.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 (/.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 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (pow.f64 b 2) (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) 2))))
(+.f64 (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (pow.f64 b 2) (*.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) (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))))))
(+.f64 (/.f64 (*.f64 r (*.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 (/.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 b r) (cos.f64 a)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.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)))))) (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 -1 (pow.f64 b 4))))))
(+.f64 (/.f64 (*.f64 b 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) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) 2)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) -1/3)) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 b -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 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 b -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 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 b -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 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 b -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.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 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 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 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a)) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a)) (pow.f64 (cos.f64 b) 2)) (neg.f64 (*.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.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 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (*.f64 (pow.f64 a 3) (*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (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 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a)) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (neg.f64 (*.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (+.f64 (neg.f64 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) -1/3)))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a)) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (neg.f64 (*.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a)) (pow.f64 (cos.f64 b) 2))) (neg.f64 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) -1/3))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b 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 a -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 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 a -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 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 a -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 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 a -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a))))
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 1 (cos.f64 a))
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(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 1 (cos.f64 (+.f64 b a))))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) -1)
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 -1 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))) (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))) (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))) (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(neg.f64 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 1 (cos.f64 (+.f64 b a)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 6 computations (64.7% saved)

series5.0ms (0%)

Counts
1 → 16
Calls

9 calls:

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

rewrite66.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1648×rational_best_oopsla_all_46_json-2
1648×rational_best_oopsla_all_46_json-1
1648×rational_best_oopsla_all_46_json-4
1648×rational_best_oopsla_all_46_json-3
1312×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
15217
215517
364817
4322917
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 b r) (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 0 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 b r) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b r) (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 1 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 b r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 b r) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))) (neg.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))))))

simplify106.0ms (0.9%)

Algorithm
egg-herbie
Rules
1150×rational_best_oopsla_all_46_json_45_simplify-13
1030×rational_best_oopsla_all_46_json_45_simplify-49
880×rational_best_oopsla_all_46_json_45_simplify-7
856×rational_best_oopsla_all_46_json_45_simplify-72
540×rational_best_oopsla_all_46_json_45_simplify-35
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031070
1385990
22368990
36458990
Stop Event
node limit
Counts
48 → 45
Calls
Call 1
Inputs
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (*.f64 r b))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (+.f64 (*.f64 r b) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r b)))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (+.f64 (*.f64 r b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r b)))) (+.f64 (*.f64 -1/720 (*.f64 r b)) (*.f64 1/48 (*.f64 b r)))))) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r b))))))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) 0)
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 0 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))
(+.f64 0 (/.f64 (*.f64 b r) (cos.f64 a)))
(+.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(-.f64 (/.f64 (*.f64 b r) (cos.f64 a)) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) 1)
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 1 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 b r) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))))
(*.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))
(*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))
(*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
(*.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))))
(*.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))))
(*.f64 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))) -1)
(*.f64 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))) (neg.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
(neg.f64 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
Outputs
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (*.f64 r b))
(+.f64 (*.f64 r b) (*.f64 1/2 (*.f64 (*.f64 r b) (pow.f64 a 2))))
(+.f64 (*.f64 r b) (*.f64 r (*.f64 1/2 (*.f64 b (pow.f64 a 2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (+.f64 (*.f64 r b) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r b)))))))
(+.f64 (*.f64 r b) (+.f64 (*.f64 1/2 (*.f64 (*.f64 r b) (pow.f64 a 2))) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 b (*.f64 -1/4 r)) (*.f64 r (*.f64 1/24 b)))))))
(+.f64 (*.f64 r b) (+.f64 (*.f64 1/2 (*.f64 (*.f64 r b) (pow.f64 a 2))) (neg.f64 (*.f64 (pow.f64 a 4) (*.f64 (*.f64 r b) -5/24)))))
(+.f64 (*.f64 r b) (+.f64 (*.f64 r (*.f64 1/2 (*.f64 b (pow.f64 a 2)))) (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 (*.f64 r b) -5/24)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 r b))) (+.f64 (*.f64 r b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r b)))) (+.f64 (*.f64 -1/720 (*.f64 r b)) (*.f64 1/48 (*.f64 b r)))))) (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 -1/4 (*.f64 b r)) (*.f64 1/24 (*.f64 r b))))))))
(+.f64 (*.f64 r b) (+.f64 (*.f64 1/2 (*.f64 (*.f64 r b) (pow.f64 a 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 b (*.f64 -1/4 r)) (*.f64 r (*.f64 1/24 b))))) (*.f64 (pow.f64 a 6) (*.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 b (*.f64 -1/4 r)) (*.f64 r (*.f64 1/24 b)))) (+.f64 (*.f64 r (*.f64 -1/720 b)) (*.f64 b (*.f64 1/48 r)))))))))
(+.f64 (*.f64 r b) (+.f64 (*.f64 1/2 (*.f64 (*.f64 r b) (pow.f64 a 2))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 a 4) (*.f64 (*.f64 r b) -5/24)) (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/2 (*.f64 (*.f64 r b) -5/24)) (*.f64 (*.f64 r b) 7/360)))))))
(+.f64 (+.f64 (*.f64 r b) (*.f64 r (*.f64 1/2 (*.f64 b (pow.f64 a 2))))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 a 4) (*.f64 (*.f64 r b) -5/24)) (*.f64 (pow.f64 a 6) (+.f64 (*.f64 1/2 (*.f64 (*.f64 r b) -5/24)) (*.f64 (*.f64 r b) 7/360))))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) 0)
(/.f64 (*.f64 r b) (cos.f64 a))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 0 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(+.f64 0 (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(+.f64 (*.f64 0 (/.f64 (/.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 (*.f64 b r) (cos.f64 a)) 0)
(/.f64 (*.f64 r b) (cos.f64 a))
(-.f64 0 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) 1)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 1 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (/.f64 (/.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 (*.f64 b r) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.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 1 (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (/.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 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (*.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 b r) (cos.f64 a)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))) -1)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))) (neg.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (/.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 (neg.f64 (/.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 b r) (cos.f64 a)))) (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
(/.f64 (*.f64 r b) (cos.f64 a))
(neg.f64 (neg.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
(/.f64 (*.f64 r b) (cos.f64 a))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series4.0ms (0%)

Counts
2 → 8
Calls

12 calls:

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

rewrite72.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1648×rational_best_oopsla_all_46_json-2
1648×rational_best_oopsla_all_46_json-1
1648×rational_best_oopsla_all_46_json-4
1648×rational_best_oopsla_all_46_json-3
1316×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
15232
215532
364332
4320932
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) r)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 0 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 1 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 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simplify72.0ms (0.6%)

Algorithm
egg-herbie
Rules
1190×rational_best_oopsla_all_46_json_45_simplify-13
1092×rational_best_oopsla_all_46_json_45_simplify-72
1088×rational_best_oopsla_all_46_json_45_simplify-7
804×rational_best_oopsla_all_46_json_45_simplify-49
482×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01631794
15891710
232591674
Stop Event
node limit
Counts
64 → 87
Calls
Call 1
Inputs
(*.f64 r b)
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (*.f64 r b))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r))))))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 r) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (+.f64 (*.f64 -1/720 r) (*.f64 1/24 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))))))
(*.f64 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 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 0)
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(-.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1)
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(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
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(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 1 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))
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(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
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(*.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
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(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
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(*.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) -1)
(*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(neg.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (*.f64 (sin.f64 b) r) 0)
(+.f64 (*.f64 (sin.f64 b) r) (*.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r))))
(+.f64 (*.f64 (sin.f64 b) r) (*.f64 0 (*.f64 (sin.f64 b) (/.f64 r (sin.f64 b)))))
(+.f64 (*.f64 (sin.f64 b) r) (*.f64 0 (*.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b))))))
(+.f64 (*.f64 (sin.f64 b) r) (*.f64 0 (*.f64 (sin.f64 b) (/.f64 r r))))
(+.f64 0 (*.f64 (sin.f64 b) r))
(+.f64 (*.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r))) (*.f64 (sin.f64 b) r))
(+.f64 (*.f64 0 (*.f64 (sin.f64 b) (/.f64 r (sin.f64 b)))) (*.f64 (sin.f64 b) r))
(+.f64 (*.f64 0 (*.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b))))) (*.f64 (sin.f64 b) r))
(+.f64 (*.f64 0 (*.f64 (sin.f64 b) (/.f64 r r))) (*.f64 (sin.f64 b) r))
(-.f64 (*.f64 (sin.f64 b) r) 0)
(-.f64 0 (*.f64 (sin.f64 b) (neg.f64 r)))
(-.f64 (*.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) (*.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 (*.f64 (sin.f64 b) r) 1)
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (sin.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 r r))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (sin.f64 b) (/.f64 r (sin.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (sin.f64 b) (/.f64 r r)) (*.f64 (sin.f64 b) (/.f64 r r))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b))))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r))))
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))
Outputs
(*.f64 r b)
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (*.f64 r b))
(+.f64 (*.f64 r b) (*.f64 (-.f64 (*.f64 r -1/6) (*.f64 r -1/2)) (pow.f64 b 3)))
(+.f64 (*.f64 r b) (*.f64 (*.f64 r 1/3) (pow.f64 b 3)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r))))))))
(+.f64 (*.f64 r b) (+.f64 (*.f64 (-.f64 (*.f64 r -1/6) (*.f64 r -1/2)) (pow.f64 b 3)) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 r 1/120) (+.f64 (*.f64 r 1/24) (*.f64 -1/2 (-.f64 (*.f64 r -1/6) (*.f64 r -1/2))))))))
(+.f64 (*.f64 (*.f64 r 1/3) (pow.f64 b 3)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 r 1/120) (+.f64 (*.f64 r 1/24) (*.f64 -1/2 (*.f64 r 1/3)))))))
(+.f64 (+.f64 (*.f64 r b) (*.f64 (*.f64 r 1/3) (pow.f64 b 3))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 r 1/3)) (*.f64 r 1/30)) (neg.f64 (pow.f64 b 5))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 r) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (+.f64 (*.f64 -1/720 r) (*.f64 1/24 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 1/120 r) (+.f64 (*.f64 1/24 r) (*.f64 -1/2 (-.f64 (*.f64 -1/6 r) (*.f64 -1/2 r)))))))))
(+.f64 (*.f64 (-.f64 (*.f64 r -1/6) (*.f64 r -1/2)) (pow.f64 b 3)) (+.f64 (*.f64 r b) (+.f64 (*.f64 (-.f64 (*.f64 r -1/5040) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 r 1/120) (+.f64 (*.f64 r 1/24) (*.f64 -1/2 (-.f64 (*.f64 r -1/6) (*.f64 r -1/2)))))) (+.f64 (*.f64 r -1/720) (*.f64 (-.f64 (*.f64 r -1/6) (*.f64 r -1/2)) 1/24)))) (pow.f64 b 7)) (*.f64 (pow.f64 b 5) (-.f64 (*.f64 r 1/120) (+.f64 (*.f64 r 1/24) (*.f64 -1/2 (-.f64 (*.f64 r -1/6) (*.f64 r -1/2)))))))))
(+.f64 (*.f64 (*.f64 r 1/3) (pow.f64 b 3)) (+.f64 (*.f64 r b) (+.f64 (*.f64 (pow.f64 b 5) (-.f64 (*.f64 r 1/120) (+.f64 (*.f64 r 1/24) (*.f64 -1/2 (*.f64 r 1/3))))) (*.f64 (-.f64 (*.f64 r -1/5040) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 r 1/120) (+.f64 (*.f64 r 1/24) (*.f64 -1/2 (*.f64 r 1/3))))) (+.f64 (*.f64 r -1/720) (*.f64 (*.f64 r 1/3) 1/24)))) (pow.f64 b 7)))))
(+.f64 (+.f64 (+.f64 (*.f64 r b) (*.f64 (*.f64 r 1/3) (pow.f64 b 3))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 r 1/3)) (*.f64 r 1/30)) (neg.f64 (pow.f64 b 5)))) (*.f64 (-.f64 (*.f64 r -1/5040) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 r 1/3)) (*.f64 r 1/30))) (+.f64 (*.f64 r -1/720) (*.f64 (*.f64 r 1/3) 1/24)))) (pow.f64 b 7)))
(*.f64 r b)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (*.f64 r b) (*.f64 -1/6 (*.f64 r (pow.f64 b 3))))
(+.f64 (*.f64 r b) (*.f64 r (*.f64 -1/6 (pow.f64 b 3))))
(+.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 r (pow.f64 b 3))) (+.f64 (*.f64 r b) (*.f64 (pow.f64 b 5) (*.f64 r 1/120))))
(+.f64 (*.f64 r b) (+.f64 (*.f64 r (*.f64 -1/6 (pow.f64 b 3))) (*.f64 (pow.f64 b 5) (*.f64 r 1/120))))
(+.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 (*.f64 -1/6 (*.f64 r (pow.f64 b 3))) (+.f64 (*.f64 r b) (+.f64 (*.f64 -1/5040 (*.f64 r (pow.f64 b 7))) (*.f64 (pow.f64 b 5) (*.f64 r 1/120)))))
(+.f64 (*.f64 r b) (+.f64 (*.f64 r (*.f64 -1/5040 (pow.f64 b 7))) (+.f64 (*.f64 r (*.f64 -1/6 (pow.f64 b 3))) (*.f64 (pow.f64 b 5) (*.f64 r 1/120)))))
(+.f64 (*.f64 r b) (+.f64 (*.f64 (pow.f64 b 5) (*.f64 r 1/120)) (+.f64 (*.f64 r (*.f64 -1/6 (pow.f64 b 3))) (*.f64 r (*.f64 -1/5040 (pow.f64 b 7))))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 0)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 0 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(-.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 0)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(-.f64 0 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 1 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(neg.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) r) 0)
(*.f64 r (sin.f64 b))
(+.f64 (*.f64 (sin.f64 b) r) (*.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r))))
(*.f64 r (sin.f64 b))
(+.f64 (*.f64 (sin.f64 b) r) (*.f64 0 (*.f64 (sin.f64 b) (/.f64 r (sin.f64 b)))))
(*.f64 r (sin.f64 b))
(+.f64 (*.f64 (sin.f64 b) r) (*.f64 0 (*.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b))))))
(*.f64 r (sin.f64 b))
(+.f64 (*.f64 (sin.f64 b) r) (*.f64 0 (*.f64 (sin.f64 b) (/.f64 r r))))
(*.f64 r (sin.f64 b))
(+.f64 0 (*.f64 (sin.f64 b) r))
(*.f64 r (sin.f64 b))
(+.f64 (*.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r))) (*.f64 (sin.f64 b) r))
(*.f64 r (sin.f64 b))
(+.f64 (*.f64 0 (*.f64 (sin.f64 b) (/.f64 r (sin.f64 b)))) (*.f64 (sin.f64 b) r))
(*.f64 r (sin.f64 b))
(+.f64 (*.f64 0 (*.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b))))) (*.f64 (sin.f64 b) r))
(*.f64 r (sin.f64 b))
(+.f64 (*.f64 0 (*.f64 (sin.f64 b) (/.f64 r r))) (*.f64 (sin.f64 b) r))
(*.f64 r (sin.f64 b))
(-.f64 (*.f64 (sin.f64 b) r) 0)
(*.f64 r (sin.f64 b))
(-.f64 0 (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 r (sin.f64 b))
(-.f64 (*.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) (*.f64 (sin.f64 b) (neg.f64 r))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) 1)
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (sin.f64 b) (sin.f64 b)))
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 r r))
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)))
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b))))
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b)))))
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (sin.f64 b) (/.f64 r (sin.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (/.f64 r (sin.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (sin.f64 b) (/.f64 r r)) (*.f64 (sin.f64 b) (/.f64 r r))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (/.f64 r r)) (*.f64 (sin.f64 b) (/.f64 r r))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b)))) (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (*.f64 r (/.f64 (sin.f64 b) (sin.f64 b))))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))))
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 r (sin.f64 b))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 10 computations (76.2% saved)

series10.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

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

rewrite122.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
858×rational_best_oopsla_all_46_json_45_simplify-80
840×rational_best_oopsla_all_46_json_45_simplify-35
592×rational_best_oopsla_all_46_json_45_simplify-89
588×rational_best_oopsla_all_46_json_45_simplify-23
514×rational_best_oopsla_all_46_json-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01381
18281
226273
3117473
4502673
Stop Event
node limit
Counts
3 → 84
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))
(*.f64 (sin.f64 b) (neg.f64 a))
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))
Outputs
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simplify134.0ms (1.1%)

Algorithm
egg-herbie
Rules
1356×rational_best_oopsla_all_46_json_45_simplify-49
1126×rational_best_oopsla_all_46_json_45_simplify-37
1092×rational_best_oopsla_all_46_json_45_simplify-7
790×rational_best_oopsla_all_46_json_45_simplify-89
658×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02605918
19365842
244195478
Stop Event
node limit
Counts
168 → 161
Calls
Call 1
Inputs
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(*.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))))
(*.f64 (*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (-.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)) -1)
(*.f64 (-.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)) (neg.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(*.f64 (*.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (-.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)))
(/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) 1)
(/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(neg.f64 (-.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)))
(neg.f64 (*.f64 -1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 r b)
(*.f64 b r)
(+.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (*.f64 r b))
(+.f64 (*.f64 b r) (*.f64 a (*.f64 r (pow.f64 b 2))))
(+.f64 (*.f64 b r) (*.f64 r (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (+.f64 (*.f64 -1/2 r) (*.f64 -1 (*.f64 (pow.f64 a 2) r)))) (pow.f64 b 3)) (+.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (*.f64 r b)))
(+.f64 (+.f64 (*.f64 b r) (*.f64 a (*.f64 r (pow.f64 b 2)))) (*.f64 (-.f64 (*.f64 r -1/6) (+.f64 (*.f64 r -1/2) (*.f64 -1 (*.f64 r (pow.f64 a 2))))) (pow.f64 b 3)))
(+.f64 (*.f64 b r) (+.f64 (*.f64 (-.f64 (*.f64 r -1/6) (+.f64 (*.f64 r -1/2) (neg.f64 (*.f64 r (pow.f64 a 2))))) (pow.f64 b 3)) (*.f64 r (*.f64 a (pow.f64 b 2)))))
(+.f64 (+.f64 (*.f64 b r) (*.f64 r (*.f64 a (pow.f64 b 2)))) (*.f64 (-.f64 (*.f64 r -1/6) (+.f64 (*.f64 r -1/2) (neg.f64 (*.f64 r (pow.f64 a 2))))) (pow.f64 b 3)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a r)) (+.f64 (*.f64 1/6 (*.f64 a r)) (*.f64 -1 (*.f64 a (-.f64 (*.f64 -1/6 r) (+.f64 (*.f64 -1/2 r) (*.f64 -1 (*.f64 (pow.f64 a 2) r)))))))) (pow.f64 b 4))) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (+.f64 (*.f64 -1/2 r) (*.f64 -1 (*.f64 (pow.f64 a 2) r)))) (pow.f64 b 3)) (+.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (*.f64 r b))))
(+.f64 (+.f64 (+.f64 (*.f64 b r) (*.f64 a (*.f64 r (pow.f64 b 2)))) (*.f64 (-.f64 (*.f64 r -1/6) (+.f64 (*.f64 r -1/2) (*.f64 -1 (*.f64 r (pow.f64 a 2))))) (pow.f64 b 3))) (*.f64 (+.f64 (*.f64 a (*.f64 r -1/2)) (+.f64 (*.f64 a (*.f64 1/6 r)) (*.f64 -1 (*.f64 a (-.f64 (*.f64 r -1/6) (+.f64 (*.f64 r -1/2) (*.f64 -1 (*.f64 r (pow.f64 a 2))))))))) (*.f64 -1 (pow.f64 b 4))))
(+.f64 (+.f64 (*.f64 b r) (+.f64 (*.f64 (-.f64 (*.f64 r -1/6) (+.f64 (*.f64 r -1/2) (neg.f64 (*.f64 r (pow.f64 a 2))))) (pow.f64 b 3)) (*.f64 r (*.f64 a (pow.f64 b 2))))) (neg.f64 (*.f64 (+.f64 (*.f64 r (*.f64 a -1/2)) (+.f64 (*.f64 r (*.f64 1/6 a)) (*.f64 (-.f64 (*.f64 r -1/6) (+.f64 (*.f64 r -1/2) (neg.f64 (*.f64 r (pow.f64 a 2))))) (neg.f64 a)))) (pow.f64 b 4))))
(+.f64 (+.f64 (+.f64 (*.f64 b r) (*.f64 r (*.f64 a (pow.f64 b 2)))) (*.f64 (-.f64 (*.f64 r -1/6) (+.f64 (*.f64 r -1/2) (neg.f64 (*.f64 r (pow.f64 a 2))))) (pow.f64 b 3))) (neg.f64 (*.f64 (+.f64 (*.f64 r (*.f64 a -1/2)) (+.f64 (*.f64 r (*.f64 1/6 a)) (*.f64 (-.f64 (*.f64 r -1/6) (+.f64 (*.f64 r -1/2) (neg.f64 (*.f64 r (pow.f64 a 2))))) (neg.f64 a)))) (pow.f64 b 4))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (*.f64 r a) (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (*.f64 r a) (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (sin.f64 b) 3) r)) (pow.f64 (cos.f64 b) 3))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (*.f64 r (pow.f64 a 2)) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2))) (pow.f64 (cos.f64 b) 3))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (*.f64 (*.f64 r a) (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (sin.f64 b) 3) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 r (pow.f64 a 3))) (pow.f64 (cos.f64 b) 4)))))
(+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (*.f64 r (pow.f64 a 2)) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 a 3))) (pow.f64 (cos.f64 b) 4)))))
(+.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2))) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 a 3))) (pow.f64 (cos.f64 b) 4)))))
(*.f64 -1 (/.f64 r a))
(neg.f64 (/.f64 r a))
(+.f64 (*.f64 -1 (/.f64 r a)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 b) r) (*.f64 (sin.f64 b) (pow.f64 a 2)))))
(+.f64 (*.f64 -1 (/.f64 r a)) (*.f64 -1 (/.f64 (*.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) (pow.f64 a 2)))))
(*.f64 -1 (+.f64 (/.f64 r a) (/.f64 (*.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) (pow.f64 a 2)))))
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(/.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (/.f64 (*.f64 a (/.f64 (sin.f64 b) (sin.f64 b))) (*.f64 a (/.f64 (sin.f64 b) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (/.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (sin.f64 b) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (/.f64 (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (*.f64 a (neg.f64 (/.f64 (sin.f64 b) (sin.f64 b))))) (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (*.f64 a (neg.f64 (/.f64 (sin.f64 b) (sin.f64 b)))))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (/.f64 (*.f64 a (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (neg.f64 (/.f64 (sin.f64 b) (sin.f64 b))))) (*.f64 a (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (neg.f64 (/.f64 (sin.f64 b) (sin.f64 b)))))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (/.f64 (*.f64 (sin.f64 b) (/.f64 a a)) (*.f64 (sin.f64 b) (/.f64 a a))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (/.f64 (*.f64 (sin.f64 b) (/.f64 (neg.f64 a) (sin.f64 b))) (*.f64 (sin.f64 b) (/.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (/.f64 (/.f64 (*.f64 (sin.f64 b) a) (*.f64 (sin.f64 b) a)) (/.f64 (*.f64 (sin.f64 b) a) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 (sin.f64 b) a) -1)
(neg.f64 (*.f64 (sin.f64 b) a))
(*.f64 (sin.f64 b) (neg.f64 a))
(neg.f64 (*.f64 (sin.f64 b) a))
(*.f64 (sin.f64 b) (neg.f64 a))
(neg.f64 (*.f64 (/.f64 (sin.f64 b) (sin.f64 b)) (*.f64 (sin.f64 b) a)))
(neg.f64 (*.f64 (sin.f64 b) a))
(*.f64 (sin.f64 b) (neg.f64 a))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (neg.f64 (cos.f64 b)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(-.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) 0)
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(-.f64 0 (-.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(-.f64 0 (*.f64 -1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(-.f64 (*.f64 (cos.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (*.f64 (sin.f64 b) a)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) 1)
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 (*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 (*.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 -1 (-.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 1 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (*.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (-.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)) -1)
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (-.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)) (neg.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (*.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(*.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (-.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) 1)
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(neg.f64 (-.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(neg.f64 (*.f64 -1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (sin.f64 b) 2)
0.3b
(pow.f64 (cos.f64 b) 2)
1.9b
(*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2)))
4.2b
(*.f64 r (pow.f64 (sin.f64 b) 2))
Compiler

Compiled 78 to 34 computations (56.4% saved)

series7.0ms (0.1%)

Counts
4 → 68
Calls

21 calls:

TimeVariablePointExpression
1.0ms
a
@0
(*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2)))
0.0ms
r
@0
(*.f64 r (pow.f64 (sin.f64 b) 2))
0.0ms
r
@inf
(*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2)))
0.0ms
a
@inf
(*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2)))
0.0ms
b
@inf
(*.f64 r (pow.f64 (sin.f64 b) 2))

rewrite103.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
912×rational_best_oopsla_all_46_json_45_simplify-80
874×rational_best_oopsla_all_46_json_45_simplify-35
724×rational_best_oopsla_all_46_json_45_simplify-89
594×rational_best_oopsla_all_46_json_45_simplify-23
588×rational_best_oopsla_all_46_json_45_simplify-37
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01362
17962
226062
3123662
4568362
Stop Event
node limit
Counts
4 → 130
Calls
Call 1
Inputs
(*.f64 r (pow.f64 (sin.f64 b) 2))
(*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2)))
(pow.f64 (cos.f64 b) 2)
(pow.f64 (sin.f64 b) 2)
Outputs
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simplify250.0ms (2%)

Algorithm
egg-herbie
Rules
1496×rational_best_oopsla_all_46_json_45_simplify-49
1306×rational_best_oopsla_all_46_json_45_simplify-7
910×rational_best_oopsla_all_46_json_45_simplify-89
732×rational_best_oopsla_all_46_json_45_simplify-24
698×rational_best_oopsla_all_46_json_45_simplify-74
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03025322
110685298
247985290
Stop Event
node limit
Counts
198 → 204
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 r (pow.f64 b 2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 b 4) r)) (*.f64 r (pow.f64 b 2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 b 4) r)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 b 6) r)) (*.f64 r (pow.f64 b 2))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 b 4) r)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 b 6) r)) (+.f64 (*.f64 -1/315 (*.f64 (pow.f64 b 8) r)) (*.f64 r (pow.f64 b 2)))))
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 a (*.f64 (pow.f64 b 2) r))
(+.f64 (*.f64 -1/3 (*.f64 a (*.f64 r (pow.f64 b 4)))) (*.f64 a (*.f64 (pow.f64 b 2) r)))
(+.f64 (*.f64 -1/3 (*.f64 a (*.f64 r (pow.f64 b 4)))) (+.f64 (*.f64 2/45 (*.f64 a (*.f64 r (pow.f64 b 6)))) (*.f64 a (*.f64 (pow.f64 b 2) r))))
(+.f64 (*.f64 -1/3 (*.f64 a (*.f64 r (pow.f64 b 4)))) (+.f64 (*.f64 2/45 (*.f64 a (*.f64 r (pow.f64 b 6)))) (+.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (*.f64 -1/315 (*.f64 a (*.f64 r (pow.f64 b 8)))))))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
1
(+.f64 (*.f64 -1 (pow.f64 b 2)) 1)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 1 (*.f64 1/3 (pow.f64 b 4))))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 b 4)) (*.f64 -2/45 (pow.f64 b 6)))))
(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)))))
(+.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) 0)
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(+.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 0 (*.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)))))
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(-.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) 0)
(-.f64 0 (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 r)))
(-.f64 0 (*.f64 (/.f64 r r) (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 r))))
(-.f64 0 (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2))) (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 r))))
(-.f64 0 (*.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 (/.f64 r r))) r))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) 1)
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 r r))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2))))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 r r)) (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 r r))))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 (/.f64 r r) (/.f64 r r)))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) r)) (*.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) r))))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2)))))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 (*.f64 (/.f64 r r) (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 r r))) (*.f64 (/.f64 r r) (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 r r)))))
(/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (*.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 r)) -1)
(neg.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 r)))
(neg.f64 (*.f64 (/.f64 r r) (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 r))))
(neg.f64 (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2))) (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 r))))
(neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 (/.f64 r r))) r))
(+.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) 0)
(+.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 0 (*.f64 a (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2))))))
(+.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 0 (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)))))
(+.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 0 (*.f64 a (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) a))))
(+.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 0 (*.f64 (/.f64 a a) (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r (/.f64 a a))))))
(+.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 0 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a (/.f64 r r)))))
(+.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 0 (*.f64 r a)))
(+.f64 0 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)))
(+.f64 (*.f64 0 (*.f64 a (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2))))) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)))
(+.f64 (*.f64 0 (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)))) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)))
(+.f64 (*.f64 0 (*.f64 a (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) a))) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)))
(+.f64 (*.f64 0 (*.f64 (/.f64 a a) (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r (/.f64 a a))))) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)))
(+.f64 (*.f64 0 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a (/.f64 r r)))) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)))
(+.f64 (*.f64 0 (*.f64 r a)) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)))
(-.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) 0)
(-.f64 0 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (neg.f64 a)))
(-.f64 0 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 a))))
(-.f64 0 (*.f64 1 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (neg.f64 a))))
(-.f64 0 (*.f64 (/.f64 a a) (*.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (neg.f64 a))))
(-.f64 0 (*.f64 (neg.f64 r) (*.f64 (pow.f64 (sin.f64 b) 2) a)))
(-.f64 0 (*.f64 -1 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a))))
(-.f64 0 (*.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 a)) r))
(-.f64 0 (*.f64 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (neg.f64 (/.f64 a a))) a))
(-.f64 (*.f64 0 (*.f64 a (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2))))) (*.f64 (*.f64 a (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2)))) (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 r))))
(-.f64 (*.f64 0 (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)))) (*.f64 (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a))) (*.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) 1)
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 r r))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 a a))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (*.f64 (pow.f64 (sin.f64 b) 2) a)))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (/.f64 a a) (/.f64 a a)))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r (/.f64 a a))) (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r (/.f64 a a)))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 r r)) (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 r r))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a))) (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (*.f64 r a) (*.f64 r a)))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (*.f64 a (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2)))) (*.f64 a (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (*.f64 r (pow.f64 (sin.f64 b) 2))))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a (/.f64 r r))) (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a (/.f64 r r)))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (*.f64 a (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) a)) (*.f64 a (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) a))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a)) (/.f64 (*.f64 (/.f64 a a) (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r (/.f64 a a)))) (*.f64 (/.f64 a a) (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r (/.f64 a a))))))
(neg.f64 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (neg.f64 a)))
(neg.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 a))))
(neg.f64 (*.f64 1 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (neg.f64 a))))
(neg.f64 (*.f64 (/.f64 a a) (*.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (neg.f64 a))))
(neg.f64 (*.f64 (neg.f64 r) (*.f64 (pow.f64 (sin.f64 b) 2) a)))
(neg.f64 (*.f64 -1 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) 2) a))))
(neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (neg.f64 a)) r))
(neg.f64 (*.f64 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (neg.f64 (/.f64 a a))) a))
(+.f64 (pow.f64 (cos.f64 b) 2) 0)
(+.f64 (pow.f64 (cos.f64 b) 2) (*.f64 0 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2))))
(+.f64 0 (pow.f64 (cos.f64 b) 2))
(+.f64 (*.f64 0 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (pow.f64 (cos.f64 b) 2))
(-.f64 (pow.f64 (cos.f64 b) 2) 0)
(-.f64 0 (*.f64 -1 (pow.f64 (cos.f64 b) 2)))
(*.f64 (pow.f64 (cos.f64 b) 2) 1)
(*.f64 (pow.f64 (cos.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)))
(*.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (pow.f64 (cos.f64 b) 2) (/.f64 1 (pow.f64 (cos.f64 b) 2))))
(*.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2))))
(*.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (pow.f64 (cos.f64 b) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (pow.f64 (cos.f64 b) 2))))
(*.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (*.f64 (pow.f64 (cos.f64 b) 2) (/.f64 1 (pow.f64 (cos.f64 b) 2))) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2))))
(*.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2))))
(*.f64 1 (pow.f64 (cos.f64 b) 2))
(*.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (pow.f64 (cos.f64 b) 2))
(*.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 (cos.f64 b) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)))))
(*.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 (cos.f64 b) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)))))
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 b) 2)))
(*.f64 (*.f64 (pow.f64 (cos.f64 b) 2) (/.f64 1 (pow.f64 (cos.f64 b) 2))) (pow.f64 (cos.f64 b) 2))
(*.f64 (neg.f64 (pow.f64 (cos.f64 b) 2)) -1)
(*.f64 (neg.f64 (pow.f64 (cos.f64 b) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (pow.f64 (cos.f64 b) 2))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (neg.f64 (pow.f64 (cos.f64 b) 2)))
(/.f64 (pow.f64 (cos.f64 b) 2) 1)
(/.f64 (pow.f64 (cos.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)))
(/.f64 (pow.f64 (cos.f64 b) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 b) 2))))
(neg.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)))
(+.f64 (pow.f64 (sin.f64 b) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 b) 2))
(-.f64 (pow.f64 (sin.f64 b) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 b) 2)))
(*.f64 (pow.f64 (sin.f64 b) 2) 1)
(*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 1 (pow.f64 (sin.f64 b) 2))))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2))))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 b) 2))))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 1 (pow.f64 (sin.f64 b) 2))) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2))))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2))))
(*.f64 1 (pow.f64 (sin.f64 b) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 b) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 b) 2)) -1)
(*.f64 (neg.f64 (pow.f64 (sin.f64 b) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2))))
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 b) 2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (/.f64 1 (pow.f64 (sin.f64 b) 2))) (pow.f64 (sin.f64 b) 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (pow.f64 (sin.f64 b) 2))
(*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (neg.f64 (pow.f64 (sin.f64 b) 2)))
(/.f64 (pow.f64 (sin.f64 b) 2) 1)
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)))
(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 b) 2)) -1)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 b) 2)))
Outputs
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 r (pow.f64 b 2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 b 4) r)) (*.f64 r (pow.f64 b 2)))
(+.f64 (*.f64 r (pow.f64 b 2)) (*.f64 (pow.f64 b 4) (*.f64 -1/3 r)))
(+.f64 (*.f64 r (pow.f64 b 2)) (*.f64 (pow.f64 b 4) (*.f64 r -1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 b 4) r)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 b 6) r)) (*.f64 r (pow.f64 b 2))))
(+.f64 (*.f64 (pow.f64 b 4) (*.f64 -1/3 r)) (+.f64 (*.f64 r (pow.f64 b 2)) (*.f64 2/45 (*.f64 r (pow.f64 b 6)))))
(+.f64 (*.f64 r (pow.f64 b 2)) (+.f64 (*.f64 (pow.f64 b 4) (*.f64 r -1/3)) (*.f64 r (*.f64 2/45 (pow.f64 b 6)))))
(+.f64 (*.f64 r (pow.f64 b 2)) (+.f64 (*.f64 (pow.f64 b 4) (*.f64 r -1/3)) (*.f64 (pow.f64 b 6) (*.f64 r 2/45))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 b 4) r)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 b 6) r)) (+.f64 (*.f64 -1/315 (*.f64 (pow.f64 b 8) r)) (*.f64 r (pow.f64 b 2)))))
(+.f64 (*.f64 (pow.f64 b 4) (*.f64 -1/3 r)) (+.f64 (*.f64 2/45 (*.f64 r (pow.f64 b 6))) (+.f64 (*.f64 r (pow.f64 b 2)) (*.f64 (pow.f64 b 8) (*.f64 -1/315 r)))))
(+.f64 (*.f64 (pow.f64 b 4) (*.f64 r -1/3)) (+.f64 (*.f64 r (pow.f64 b 2)) (+.f64 (*.f64 r (*.f64 2/45 (pow.f64 b 6))) (*.f64 -1/315 (*.f64 r (pow.f64 b 8))))))
(+.f64 (*.f64 (pow.f64 b 4) (*.f64 r -1/3)) (+.f64 (*.f64 r (pow.f64 b 2)) (+.f64 (*.f64 (pow.f64 b 6) (*.f64 r 2/45)) (*.f64 -1/315 (*.f64 r (pow.f64 b 8))))))
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) r)
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))
(*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))
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(/.f64 (pow.f64 (sin.f64 b) 2) 1)
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(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)))
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(/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 b) 2))))
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(pow.f64 (sin.f64 b) 2)

eval413.0ms (3.4%)

Compiler

Compiled 28766 to 9749 computations (66.1% saved)

prune215.0ms (1.8%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New88116897
Fresh358
Picked101
Done235
Total88724911
Error
13.4b
Counts
911 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
25.8b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
24.6b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
31.0b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2)))))
40.1b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (neg.f64 a)) 1))
30.5b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))
26.2b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 (+.f64 b a))))
30.9b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))) (cos.f64 (+.f64 b a))))
29.0b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 a)))
24.7b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 b))) (cos.f64 (+.f64 b a))))
29.0b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))))) (cos.f64 (+.f64 b a))))
24.6b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
29.0b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
37.9b
(/.f64 (*.f64 r (sin.f64 b)) 1)
31.6b
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
31.5b
(/.f64 (*.f64 b r) (cos.f64 a))
41.2b
(+.f64 (*.f64 r b) (*.f64 (*.f64 r 1/3) (pow.f64 b 3)))
30.8b
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
21.6b
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
40.6b
(*.f64 r b)
59.7b
(neg.f64 (/.f64 r a))
Compiler

Compiled 921 to 515 computations (44.1% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))))
0.2b
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
0.2b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))) (cos.f64 (+.f64 b a))))
3.7b
(cos.f64 (+.f64 b a))
Compiler

Compiled 155 to 47 computations (69.7% saved)

series2.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite117.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1066×rational_best_oopsla_all_46_json_45_simplify-23
878×rational_best_oopsla_all_46_json_45_simplify-89
844×rational_best_oopsla_all_46_json_45_simplify-13
748×rational_best_oopsla_all_46_json-2
748×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018174
111860
245060
3177160
4771460
Stop Event
node limit
Counts
2 → 83
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))) (cos.f64 (+.f64 b a))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))))
Outputs
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((x fabs.f64 (*.f64 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (fabs.f64 (cos.f64 (+.f64 b a)))))))))

simplify94.0ms (0.8%)

Algorithm
egg-herbie
Rules
1092×rational_best_oopsla_all_46_json_45_simplify-37
1022×rational_best_oopsla_all_46_json_45_simplify-49
892×rational_best_oopsla_all_46_json_45_simplify-13
878×rational_best_oopsla_all_46_json_45_simplify-72
698×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02685059
18884847
232984847
Stop Event
node limit
Counts
143 → 120
Calls
Call 1
Inputs
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.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))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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1
1
1
1
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(-.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) 0)
(-.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) 0))
(-.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) 0))
(-.f64 0 (*.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) 1)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) -1)
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) 0)
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))) 0))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (fabs.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 0))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))) 0))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (fabs.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (neg.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 0 (cos.f64 (+.f64 b a))))))
(+.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))))
(+.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 0 (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 0 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) 0)
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 0 (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))) 0))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (fabs.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 0))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))) 0))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 0 (cos.f64 (+.f64 b a))))))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 0 (cos.f64 (+.f64 b a))))))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 0 (cos.f64 (+.f64 b a))))))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 0 (cos.f64 (+.f64 b a))))))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (fabs.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 -1 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 0 (cos.f64 (+.f64 b a))))
(-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))) (/.f64 0 (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 0 (cos.f64 (+.f64 b a))) (/.f64 0 (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 (/.f64 0 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 -1 (cos.f64 (+.f64 b a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 -1 (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 0 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 (/.f64 0 (cos.f64 (+.f64 b a))) -1) (*.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(-.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 0 (cos.f64 (+.f64 b a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 -1 (cos.f64 (+.f64 b a)))))
(-.f64 (-.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 0 (cos.f64 (+.f64 b a))))) (/.f64 0 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) 1)
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 -1 (cos.f64 (+.f64 b a)))) -1)
(neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 -1 (cos.f64 (+.f64 b a)))))
(fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))))
(fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 -1 (cos.f64 (+.f64 b a)))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))))
(fabs.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a))))))
(fabs.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (fabs.f64 (cos.f64 (+.f64 b a)))))
(fabs.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (fabs.f64 (cos.f64 (+.f64 b a)))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (fabs.f64 (cos.f64 (+.f64 b a)))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
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(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 -1 (cos.f64 (+.f64 b a)))) -1)
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 -1 (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 -1 (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(fabs.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(fabs.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(fabs.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a))))

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 r (sin.f64 b))
1.9b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (neg.f64 a)) 1))
Compiler

Compiled 36 to 13 computations (63.9% saved)

series6.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (neg.f64 a)) 1))
1.0ms
r
@0
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (neg.f64 a)) 1))
1.0ms
b
@-inf
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (neg.f64 a)) 1))
1.0ms
b
@inf
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (neg.f64 a)) 1))
1.0ms
r
@inf
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (neg.f64 a)) 1))

rewrite110.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
804×rational_best_oopsla_all_46_json_45_simplify-80
786×rational_best_oopsla_all_46_json_45_simplify-35
578×rational_best_oopsla_all_46_json_45_simplify-89
564×rational_best_oopsla_all_46_json_45_simplify-23
508×rational_best_oopsla_all_46_json-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01333
18233
225529
3116129
4493029
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (neg.f64 a)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 1 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (-.f64 0 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))))))

simplify115.0ms (0.9%)

Algorithm
egg-herbie
Rules
1416×rational_best_oopsla_all_46_json_45_simplify-72
928×rational_best_oopsla_all_46_json_45_simplify-49
860×rational_best_oopsla_all_46_json_45_simplify-37
774×rational_best_oopsla_all_46_json_45_simplify-13
688×rational_best_oopsla_all_46_json_45_simplify-35
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01143240
14283076
218303064
354783064
Stop Event
node limit
Counts
62 → 72
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(*.f64 r b)
(+.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (*.f64 r b))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1 (*.f64 (pow.f64 a 2) r))) (pow.f64 b 3)) (+.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (*.f64 r b)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1 (*.f64 (pow.f64 a 2) r))) (pow.f64 b 3)) (+.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (+.f64 (*.f64 a (*.f64 (pow.f64 b 4) (-.f64 (*.f64 -1/6 r) (*.f64 -1 (*.f64 (pow.f64 a 2) r))))) (*.f64 r b))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 4) (pow.f64 b 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 4) (pow.f64 b 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))))
(*.f64 (sin.f64 b) r)
(+.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 b r))) (*.f64 (sin.f64 b) r))
(+.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) r))) (+.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 b r))) (*.f64 (sin.f64 b) r)))
(+.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) r))) (+.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 b r))) (+.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 3) r))) (*.f64 (sin.f64 b) r))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 4) (pow.f64 b 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 4) (pow.f64 b 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))))
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) 0)
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))
(+.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))
(+.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))
(-.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) 0)
(-.f64 0 (*.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))
(*.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) 1)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 1 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (-.f64 0 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) -1)
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a))))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))
(neg.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))
(neg.f64 (*.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 -1 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 1 (*.f64 a (neg.f64 b))))
(*.f64 r b)
(*.f64 b r)
(+.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (*.f64 r b))
(+.f64 (*.f64 b r) (*.f64 (pow.f64 b 2) (*.f64 a r)))
(+.f64 (*.f64 b r) (*.f64 r (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 b r) (*.f64 (pow.f64 b 2) (*.f64 r a)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1 (*.f64 (pow.f64 a 2) r))) (pow.f64 b 3)) (+.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (*.f64 r b)))
(+.f64 (*.f64 (pow.f64 b 2) (*.f64 a r)) (+.f64 (*.f64 (-.f64 (*.f64 r -1/6) (*.f64 -1 (*.f64 r (pow.f64 a 2)))) (pow.f64 b 3)) (*.f64 b r)))
(+.f64 (*.f64 r (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 b r) (*.f64 (-.f64 (*.f64 r -1/6) (neg.f64 (*.f64 r (pow.f64 a 2)))) (pow.f64 b 3))))
(+.f64 (+.f64 (*.f64 b r) (*.f64 (pow.f64 b 2) (*.f64 r a))) (*.f64 (*.f64 r (-.f64 -1/6 (*.f64 -1 (pow.f64 a 2)))) (pow.f64 b 3)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 r) (*.f64 -1 (*.f64 (pow.f64 a 2) r))) (pow.f64 b 3)) (+.f64 (*.f64 a (*.f64 (pow.f64 b 2) r)) (+.f64 (*.f64 a (*.f64 (pow.f64 b 4) (-.f64 (*.f64 -1/6 r) (*.f64 -1 (*.f64 (pow.f64 a 2) r))))) (*.f64 r b))))
(+.f64 (*.f64 (-.f64 (*.f64 r -1/6) (*.f64 -1 (*.f64 r (pow.f64 a 2)))) (pow.f64 b 3)) (+.f64 (*.f64 a (*.f64 (-.f64 (*.f64 r -1/6) (*.f64 -1 (*.f64 r (pow.f64 a 2)))) (pow.f64 b 4))) (+.f64 (*.f64 b r) (*.f64 (pow.f64 b 2) (*.f64 a r)))))
(+.f64 (*.f64 (-.f64 (*.f64 r -1/6) (neg.f64 (*.f64 r (pow.f64 a 2)))) (pow.f64 b 3)) (+.f64 (+.f64 (*.f64 b r) (*.f64 r (*.f64 a (pow.f64 b 2)))) (*.f64 (-.f64 (*.f64 r -1/6) (neg.f64 (*.f64 r (pow.f64 a 2)))) (*.f64 a (pow.f64 b 4)))))
(+.f64 (+.f64 (*.f64 b r) (*.f64 (pow.f64 b 2) (*.f64 r a))) (+.f64 (*.f64 (*.f64 r (-.f64 -1/6 (*.f64 -1 (pow.f64 a 2)))) (pow.f64 b 3)) (*.f64 (*.f64 r (-.f64 -1/6 (*.f64 -1 (pow.f64 a 2)))) (*.f64 a (pow.f64 b 4)))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a))))
(*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(+.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2))))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 3) (pow.f64 a 3)))))
(+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 3) (pow.f64 a 3))) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 3) (pow.f64 a 3))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 4) (pow.f64 b 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 3) (pow.f64 a 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2)))))))
(+.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)))) (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 4) (pow.f64 a 4)))) (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 3) (pow.f64 a 3))))))
(+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 3) (pow.f64 a 3)))) (+.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2))))) (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a))))
(*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 a b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(+.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 2) (pow.f64 a 2))))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 b 3) (pow.f64 a 3)))))
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(neg.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 1 (*.f64 b a)))
(neg.f64 (*.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 1 (*.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 1 (*.f64 b a)))

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a)))
0.2b
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))
0.2b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
3.7b
(cos.f64 (+.f64 b a))
Compiler

Compiled 68 to 23 computations (66.2% saved)

series20.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
6.0ms
r
@0
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
2.0ms
a
@-inf
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a)))
1.0ms
a
@0
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
1.0ms
b
@0
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
1.0ms
a
@-inf
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))

rewrite121.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
914×rational_best_oopsla_all_46_json_45_simplify-23
872×rational_best_oopsla_all_46_json_45_simplify-89
718×rational_best_oopsla_all_46_json-2
718×rational_best_oopsla_all_46_json-1
718×rational_best_oopsla_all_46_json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016129
197129
2312129
31524129
47286129
Stop Event
node limit
Counts
3 → 105
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a)))
Outputs
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simplify256.0ms (2.1%)

Algorithm
egg-herbie
Rules
1356×rational_best_oopsla_all_46_json_45_simplify-37
1078×rational_best_oopsla_all_46_json_45_simplify-89
974×rational_best_oopsla_all_46_json_45_simplify-13
924×rational_best_oopsla_all_46_json_45_simplify-24
838×rational_best_oopsla_all_46_json_45_simplify-74
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039111545
1133011345
2478711345
Stop Event
node limit
Counts
189 → 218
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 2 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) r) (pow.f64 (cos.f64 a) 3)))))))
(+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 r (+.f64 (*.f64 (sin.f64 a) (cos.f64 a)) (*.f64 1/3 (*.f64 (sin.f64 a) (cos.f64 a))))) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 a) (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) r)) (pow.f64 (cos.f64 a) 4))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) r) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))))) (pow.f64 b 4))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) r) (pow.f64 (cos.f64 a) 3))))))))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2))
(/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 3))) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2)))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 3))) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 4))) (/.f64 (*.f64 (sin.f64 b) (*.f64 r (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)))) (pow.f64 (cos.f64 b) 4)))) (pow.f64 a 2)) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 3))) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 4))) (/.f64 (*.f64 (sin.f64 b) (*.f64 r (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)))) (pow.f64 (cos.f64 b) 4)))) (pow.f64 a 2)) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)))) (pow.f64 (cos.f64 b) 5))) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (+.f64 (*.f64 (sin.f64 b) (cos.f64 b)) (*.f64 1/3 (*.f64 (sin.f64 b) (cos.f64 b)))))) (pow.f64 (cos.f64 b) 4)) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 4))) (/.f64 (*.f64 (sin.f64 b) (*.f64 r (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)))) (pow.f64 (cos.f64 b) 4)))) (sin.f64 b)) (cos.f64 b))))) (pow.f64 a 3))))))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2))
1
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a))) (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a))) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 b 2)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a))))))
(/.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(/.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(/.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(/.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (cos.f64 a))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (cos.f64 a))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (cos.f64 a))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (cos.f64 a))
(cos.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (cos.f64 b) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/6 (sin.f64 b)) (*.f64 1/2 (sin.f64 b))))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 (pow.f64 a 5) (-.f64 (*.f64 -1/120 (sin.f64 b)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/6 (sin.f64 b)) (*.f64 1/2 (sin.f64 b)))) (*.f64 -1/24 (sin.f64 b))))) (+.f64 (cos.f64 b) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/6 (sin.f64 b)) (*.f64 1/2 (sin.f64 b)))))))
(/.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(/.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(/.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(/.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (cos.f64 a))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (cos.f64 a))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (cos.f64 a))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (cos.f64 a))
(cos.f64 a)
(+.f64 (*.f64 -2 (*.f64 (sin.f64 a) b)) (cos.f64 a))
(+.f64 (*.f64 -2 (*.f64 (sin.f64 a) b)) (+.f64 (cos.f64 a) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a)) (*.f64 -1 (cos.f64 a))) (pow.f64 b 2))))
(+.f64 (*.f64 -2 (*.f64 (sin.f64 a) b)) (+.f64 (cos.f64 a) (+.f64 (*.f64 (+.f64 (sin.f64 a) (*.f64 1/3 (sin.f64 a))) (pow.f64 b 3)) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a)) (*.f64 -1 (cos.f64 a))) (pow.f64 b 2)))))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (cos.f64 a))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (cos.f64 a))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (cos.f64 a))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (cos.f64 a))
(/.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (cos.f64 a))
(/.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (cos.f64 a))
(/.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (cos.f64 a))
(/.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (cos.f64 a))
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(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a)))) -1)
(neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a)))))
(neg.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(neg.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(neg.f64 (*.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (cos.f64 (+.f64 b a))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) 0)
(+.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 0))
(+.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) 0))
(+.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(+.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))) 0))
(+.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) 0))
(+.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) 0))
(+.f64 0 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 0 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) 0)
(-.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 0))
(-.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) 0))
(-.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(-.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))) 0))
(-.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) 0))
(-.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) 0))
(-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(-.f64 0 (*.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a)))))))
(-.f64 0 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a)))))))
(-.f64 0 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(-.f64 0 (*.f64 -1 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(-.f64 0 (*.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))
(-.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a)))))))
(-.f64 (*.f64 0 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) (*.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(-.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) 1)
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))))))
(neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(neg.f64 (*.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a)))))))
(neg.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a)))))))
(neg.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(neg.f64 (*.f64 -1 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(neg.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))
Outputs
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 b r) (cos.f64 a))
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(*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))))
(*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))))) (*.f64 (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 1 (cos.f64 a))))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))))))))
(neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(neg.f64 (*.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a)))))))
(neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(neg.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a)))))))
(neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(neg.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))))) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))
(neg.f64 (*.f64 -1 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(neg.f64 (*.f64 -1 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))))))
(neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 a)) (cos.f64 (+.f64 b a))))))
(neg.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a)))))
(neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 (cos.f64 a))))))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))))
0.2b
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 (+.f64 b a)))
0.7b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 (+.f64 b a))))
3.7b
(cos.f64 (+.f64 b a))
Compiler

Compiled 107 to 26 computations (75.7% saved)

series18.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

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

rewrite97.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1150×rational_best_oopsla_all_46_json_45_simplify-23
912×rational_best_oopsla_all_46_json_45_simplify-37
910×rational_best_oopsla_all_46_json_45_simplify-13
908×rational_best_oopsla_all_46_json-2
908×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019189
1122189
2408177
32006177
Stop Event
node limit
Counts
3 → 111
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 (+.f64 b a)))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))))
Outputs
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simplify226.0ms (1.8%)

Algorithm
egg-herbie
Rules
1594×rational_best_oopsla_all_46_json_45_simplify-89
1426×rational_best_oopsla_all_46_json_45_simplify-13
1384×rational_best_oopsla_all_46_json_45_simplify-24
1230×rational_best_oopsla_all_46_json_45_simplify-74
880×rational_best_oopsla_all_46_json_45_simplify-7
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051818571
1188317507
2690617491
Stop Event
node limit
Counts
195 → 268
Calls
Call 1
Inputs
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(pow.f64 (cos.f64 a) 2)
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(cos.f64 b)
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(cos.f64 a)
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(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
1
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(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a)))) 0))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) 0))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (neg.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) 0))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) 0))
(+.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (*.f64 0 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (*.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (*.f64 0 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (*.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(+.f64 (*.f64 0 (neg.f64 (neg.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) 0)
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a)))) 0))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) 0))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (neg.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) 0))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) 0))
(-.f64 0 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 0 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (neg.f64 (cos.f64 (+.f64 b a))))))
(-.f64 0 (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (neg.f64 (cos.f64 (+.f64 b a))))))
(-.f64 0 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(-.f64 0 (*.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))))
(-.f64 0 (*.f64 (neg.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) 1)
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) (neg.f64 (neg.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))))
Outputs
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (*.f64 -1 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) 2))
(+.f64 (*.f64 (pow.f64 b 2) (-.f64 (*.f64 -1 (/.f64 (*.f64 a r) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 3))))) (/.f64 (*.f64 r b) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 (pow.f64 b 2) (-.f64 (*.f64 -1 (/.f64 (*.f64 a r) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 3))))) (/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 (pow.f64 b 2) (-.f64 (neg.f64 (/.f64 (*.f64 a r) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 3))))) (/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) 2)))
(+.f64 (*.f64 (pow.f64 b 2) (-.f64 (*.f64 -1 (/.f64 (*.f64 a r) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 3))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 r (pow.f64 (cos.f64 a) 2))) (*.f64 -1/6 (/.f64 r (pow.f64 (cos.f64 a) 2)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1 (/.f64 (*.f64 a r) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) r) (pow.f64 (cos.f64 a) 4)))) (pow.f64 b 3)) (/.f64 (*.f64 r b) (pow.f64 (cos.f64 a) 2))))
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(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (/.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) (neg.f64 (neg.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))))
(*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (cos.f64 (+.f64 b a)))

eval646.0ms (5.3%)

Compiler

Compiled 57768 to 19036 computations (67% saved)

prune549.0ms (4.5%)

Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New1316231339
Fresh61016
Picked101
Done347
Total1326371363
Error
13.2b
Counts
1363 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
26.7b
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
29.1b
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
38.2b
(/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))
25.8b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
40.1b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 1 (*.f64 b a)))
26.3b
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
24.6b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
38.1b
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) 2))
31.0b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2)))))
30.5b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))
40.7b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (+.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2)))) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 (+.f64 b a))))
40.1b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 (+.f64 b a))))
23.8b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))))
40.0b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 a)))
30.9b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))))) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))))
29.0b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))) (cos.f64 (+.f64 b a))))
24.7b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 b))) (cos.f64 (+.f64 b a))))
38.2b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
28.5b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 (+.f64 b a))))
24.0b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
29.0b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
40.9b
(/.f64 (*.f64 r b) (+.f64 (*.f64 b (neg.f64 a)) 1))
31.6b
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
31.5b
(/.f64 (*.f64 b r) (cos.f64 a))
41.2b
(+.f64 (*.f64 r b) (*.f64 (*.f64 r 1/3) (pow.f64 b 3)))
30.8b
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
41.4b
(*.f64 (sin.f64 b) (+.f64 r (*.f64 b (*.f64 r a))))
37.9b
(*.f64 (sin.f64 b) r)
40.6b
(*.f64 r b)
57.8b
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)))
55.4b
(neg.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 (+.f64 b a)) 2)))
59.7b
(neg.f64 (/.f64 r a))
Compiler

Compiled 1439 to 869 computations (39.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 a))
0.2b
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
0.2b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
3.7b
(cos.f64 (+.f64 b a))
Compiler

Compiled 62 to 23 computations (62.9% saved)

series23.0ms (0.2%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
21.0ms
a
@0
(/.f64 1 (cos.f64 a))
0.0ms
a
@inf
(/.f64 1 (cos.f64 a))
0.0ms
a
@-inf
(/.f64 1 (cos.f64 a))
0.0ms
a
@0
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
0.0ms
b
@0
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))

rewrite64.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1016×rational_best_oopsla_all_46_json_45_simplify-89
956×rational_best_oopsla_all_46_json_45_simplify-23
884×rational_best_oopsla_all_46_json_45_simplify-13
822×rational_best_oopsla_all_46_json-2
822×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01685
19985
233685
3174279
Stop Event
node limit
Counts
3 → 115
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(/.f64 1 (cos.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 a))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify224.0ms (1.8%)

Algorithm
egg-herbie
Rules
1488×rational_best_oopsla_all_46_json_45_simplify-72
1310×rational_best_oopsla_all_46_json_45_simplify-80
1036×rational_best_oopsla_all_46_json_45_simplify-7
926×rational_best_oopsla_all_46_json_45_simplify-89
772×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03435347
111845227
246895227
Stop Event
node limit
Counts
167 → 164
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))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
1
1
1
1
1
1
1
1
1
1
1
1
1
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(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (*.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (/.f64 1 (cos.f64 a)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))))))
(*.f64 (neg.f64 (/.f64 1 (cos.f64 a))) -1)
(*.f64 (neg.f64 (/.f64 1 (cos.f64 a))) (-.f64 0 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))))
(*.f64 -1 (neg.f64 (/.f64 1 (cos.f64 a))))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 (cos.f64 a)))) (/.f64 1 (cos.f64 a)))
(*.f64 (*.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))) (/.f64 1 (cos.f64 a)))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))) (neg.f64 (/.f64 1 (cos.f64 a))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.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 b r) (cos.f64 a)) (/.f64 (*.f64 r (*.f64 (sin.f64 a) (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (pow.f64 b 2) (*.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 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 r (*.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 (/.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 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.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 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (*.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) (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))))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 r (*.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 (/.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 (sin.f64 a) (-.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)))))) (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 -1 (pow.f64 b 4))))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) -1/3)) (pow.f64 b 4))) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.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 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) -1/3)) (pow.f64 b 4))) (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (*.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) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 b -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 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 b -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 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 b -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 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 b -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.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 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 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 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a)) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (neg.f64 (*.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))))
(+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2))) (neg.f64 (*.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.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 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 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (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 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a)) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)) (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (neg.f64 (*.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))))) (neg.f64 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) -1/3))))))
(+.f64 (neg.f64 (*.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2))) (neg.f64 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) -1/3))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b 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 a -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 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 a -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 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 a -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 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 a -1))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a))))
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 (*.f64 1/2 (pow.f64 a 2)) 1)
(+.f64 1 (*.f64 (pow.f64 a 2) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (*.f64 5/24 (pow.f64 a 4))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 a 2) 1/2) (*.f64 5/24 (pow.f64 a 4))))
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(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(-.f64 0 (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a))))
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(-.f64 0 (*.f64 (/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a)))))
(neg.f64 (*.f64 (cos.f64 a) (*.f64 (/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))) (/.f64 -1 (cos.f64 a)))))
(neg.f64 (*.f64 (cos.f64 a) (*.f64 (/.f64 -1 (cos.f64 a)) (/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))))))
(-.f64 0 (*.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a)))))
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(-.f64 0 (*.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a)))) (cos.f64 a)))
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(-.f64 0 (*.f64 (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))))
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(-.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (/.f64 0 (cos.f64 a)))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(-.f64 (*.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a))) (*.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (/.f64 0 (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(-.f64 (*.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))))) (*.f64 (/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))) (/.f64 0 (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(-.f64 (*.f64 (/.f64 0 (cos.f64 a)) -1) (*.f64 -1 (/.f64 (cos.f64 a) (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(-.f64 (*.f64 (/.f64 0 (cos.f64 a)) (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a)))) (*.f64 (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a))) (/.f64 (cos.f64 a) (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) 1)
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (cos.f64 a) (cos.f64 a)))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))) (/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a))) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a)))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (*.f64 (cos.f64 a) (/.f64 (/.f64 1 (cos.f64 a)) (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 (/.f64 1 (cos.f64 a)) (cos.f64 a)))))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (*.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a)))) (*.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a))))))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a)))) (*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a))))))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (*.f64 (cos.f64 a) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))) (*.f64 (cos.f64 a) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))))))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (neg.f64 (neg.f64 (cos.f64 a))) (neg.f64 (neg.f64 (cos.f64 a)))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 (neg.f64 (neg.f64 (/.f64 1 (cos.f64 a)))) (neg.f64 (neg.f64 (/.f64 1 (cos.f64 a))))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(/.f64 (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a))) -1)
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(neg.f64 (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a)))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (/.f64 0 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 a)) (/.f64 1 (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 a)) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a)))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 a)) (*.f64 (cos.f64 a) (/.f64 (/.f64 1 (cos.f64 a)) (cos.f64 a)))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (neg.f64 (cos.f64 a)) (*.f64 (cos.f64 a) (/.f64 (/.f64 1 (cos.f64 a)) (cos.f64 a)))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 a)) (*.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a))))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (neg.f64 (cos.f64 a)) (*.f64 (/.f64 (cos.f64 a) (cos.f64 a)) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a))))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 a)) (neg.f64 (/.f64 1 (cos.f64 a)))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (/.f64 1 (cos.f64 a)) (fabs.f64 (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (cos.f64 a))) (fabs.f64 (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
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(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 1 (cos.f64 a))) (fabs.f64 (cos.f64 a))))
(*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a)))
(+.f64 (/.f64 1 (cos.f64 a)) 0)
(/.f64 1 (cos.f64 a))
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(/.f64 1 (cos.f64 a))
(-.f64 (/.f64 1 (cos.f64 a)) 0)
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(-.f64 0 (neg.f64 (/.f64 1 (cos.f64 a))))
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(*.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 (/.f64 1 (cos.f64 a)) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))))
(/.f64 1 (cos.f64 a))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 (cos.f64 a)))))
(/.f64 1 (cos.f64 a))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))))
(/.f64 1 (cos.f64 a))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (/.f64 1 (cos.f64 a)))))
(/.f64 1 (cos.f64 a))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 (cos.f64 a)))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))))
(/.f64 1 (cos.f64 a))
(*.f64 (/.f64 1 (cos.f64 a)) (*.f64 (*.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))))
(/.f64 1 (cos.f64 a))
(*.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (/.f64 1 (cos.f64 a)))
(/.f64 1 (cos.f64 a))
(*.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))))))
(/.f64 1 (cos.f64 a))
(*.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))))))
(/.f64 1 (cos.f64 a))
(*.f64 (neg.f64 (/.f64 1 (cos.f64 a))) -1)
(/.f64 1 (cos.f64 a))
(*.f64 (neg.f64 (/.f64 1 (cos.f64 a))) (-.f64 0 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))))
(/.f64 1 (cos.f64 a))
(*.f64 -1 (neg.f64 (/.f64 1 (cos.f64 a))))
(/.f64 1 (cos.f64 a))
(*.f64 (*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 (cos.f64 a)))) (/.f64 1 (cos.f64 a)))
(/.f64 1 (cos.f64 a))
(*.f64 (*.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a))) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))) (/.f64 1 (cos.f64 a)))
(/.f64 1 (cos.f64 a))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (cos.f64 a)))) (neg.f64 (/.f64 1 (cos.f64 a))))
(/.f64 1 (cos.f64 a))

localize5.0ms (0%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 7 computations (66.7% saved)

series5.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
r
@0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
0.0ms
a
@0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
0.0ms
a
@inf
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
0.0ms
b
@-inf
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
0.0ms
a
@-inf
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))

rewrite65.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1752×rational_best_oopsla_all_46_json-2
1752×rational_best_oopsla_all_46_json-1
1752×rational_best_oopsla_all_46_json-4
1752×rational_best_oopsla_all_46_json-3
768×rational_best_oopsla_all_46_json_45_simplify-7
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
15721
216621
367921
4340021
Stop Event
node limit
Counts
1 → 29
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
Outputs
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(cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 1 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))))

simplify106.0ms (0.9%)

Algorithm
egg-herbie
Rules
952×rational_best_oopsla_all_46_json_45_simplify-49
950×rational_best_oopsla_all_46_json_45_simplify-37
852×rational_best_oopsla_all_46_json_45_simplify-35
738×rational_best_oopsla_all_46_json_45_simplify-13
682×rational_best_oopsla_all_46_json_45_simplify-7
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01201851
14151727
220851727
360391727
Stop Event
node limit
Counts
65 → 53
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 (*.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 (*.f64 r (sin.f64 b)) (cos.f64 a)) 0)
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(+.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(+.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(-.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) 1)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 1 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(*.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
(*.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(*.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) -1)
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
(neg.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
Outputs
(/.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 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 (*.f64 b r) (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 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))) (*.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a))))
(+.f64 (*.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 b r) (cos.f64 a))))
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (*.f64 1/120 (/.f64 (*.f64 r (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))))))
(+.f64 (+.f64 (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))) (*.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a)))) (*.f64 -1/5040 (/.f64 (*.f64 r (pow.f64 b 7)) (cos.f64 a))))
(+.f64 (+.f64 (/.f64 (*.f64 b r) (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 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a)))))
(+.f64 (*.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 (*.f64 b r) (cos.f64 a)) (*.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (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 (sin.f64 b) r) (*.f64 (sin.f64 b) (*.f64 1/2 (*.f64 r (pow.f64 a 2)))))
(*.f64 (sin.f64 b) (+.f64 r (*.f64 (pow.f64 a 2) (*.f64 1/2 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 (sin.f64 b) (*.f64 1/2 (*.f64 r (pow.f64 a 2)))) (+.f64 (*.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 4) (*.f64 -1 (+.f64 (*.f64 (*.f64 (sin.f64 b) r) 1/24) (*.f64 (sin.f64 b) (*.f64 -1/4 r)))))))
(+.f64 (*.f64 (sin.f64 b) (+.f64 r (*.f64 (pow.f64 a 2) (*.f64 1/2 r)))) (neg.f64 (*.f64 (pow.f64 a 4) (*.f64 (*.f64 (sin.f64 b) r) -5/24))))
(+.f64 (*.f64 (sin.f64 b) (+.f64 r (*.f64 (pow.f64 a 2) (*.f64 1/2 r)))) (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) -5/24))))
(+.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) (*.f64 1/2 (*.f64 r (pow.f64 a 2)))) (+.f64 (*.f64 (pow.f64 a 4) (*.f64 -1 (+.f64 (*.f64 (*.f64 (sin.f64 b) r) 1/24) (*.f64 (sin.f64 b) (*.f64 -1/4 r))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 (*.f64 (sin.f64 b) r) 1/24) (*.f64 (sin.f64 b) (*.f64 -1/4 r)))) (+.f64 (*.f64 (sin.f64 b) (*.f64 -1/720 r)) (*.f64 (sin.f64 b) (*.f64 1/48 r)))) (*.f64 -1 (pow.f64 a 6))) (*.f64 (sin.f64 b) r))))
(+.f64 (+.f64 (*.f64 (sin.f64 b) (+.f64 r (*.f64 (pow.f64 a 2) (*.f64 1/2 r)))) (neg.f64 (*.f64 (pow.f64 a 4) (*.f64 (*.f64 (sin.f64 b) r) -5/24)))) (neg.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sin.f64 b) r) -5/24)) (*.f64 (*.f64 (sin.f64 b) r) 7/360)) (pow.f64 a 6))))
(+.f64 (*.f64 (sin.f64 b) (+.f64 r (*.f64 (pow.f64 a 2) (*.f64 1/2 r)))) (+.f64 (*.f64 (pow.f64 a 4) (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) -5/24))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sin.f64 b) r) -5/24)) (*.f64 (*.f64 (sin.f64 b) r) 7/360)) (neg.f64 (pow.f64 a 6)))))
(/.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 (*.f64 r (sin.f64 b)) (cos.f64 a)) 0)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(+.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(+.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(-.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) 0)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(-.f64 0 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) 1)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 1 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) -1)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(neg.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (cos.f64 (+.f64 b a)) 2)
1.9b
(*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2)))
3.7b
(cos.f64 (+.f64 b a))
4.2b
(*.f64 r (pow.f64 (sin.f64 b) 2))
Compiler

Compiled 71 to 33 computations (53.5% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
b
@0
(pow.f64 (cos.f64 (+.f64 b a)) 2)
0.0ms
a
@0
(pow.f64 (cos.f64 (+.f64 b a)) 2)
0.0ms
b
@-inf
(pow.f64 (cos.f64 (+.f64 b a)) 2)
0.0ms
a
@-inf
(pow.f64 (cos.f64 (+.f64 b a)) 2)
0.0ms
b
@inf
(pow.f64 (cos.f64 (+.f64 b a)) 2)

rewrite81.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1284×rational_best_oopsla_all_46_json_45_simplify-37
1236×rational_best_oopsla_all_46_json_45_simplify-23
1188×rational_best_oopsla_all_46_json_45_simplify-13
852×rational_best_oopsla_all_46_json-2
852×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
14817
210417
332817
4153617
Stop Event
node limit
Counts
1 → 60
Calls
Call 1
Inputs
(pow.f64 (cos.f64 (+.f64 b a)) 2)
Outputs
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simplify80.0ms (0.7%)

Algorithm
egg-herbie
Rules
1312×rational_best_oopsla_all_46_json_45_simplify-49
984×rational_best_oopsla_all_46_json_45_simplify-72
742×rational_best_oopsla_all_46_json_45_simplify-108
724×rational_best_oopsla_all_46_json_45_simplify-23
564×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01721936
16431892
231921892
Stop Event
node limit
Counts
84 → 90
Calls
Call 1
Inputs
(pow.f64 (cos.f64 a) 2)
(+.f64 (pow.f64 (cos.f64 a) 2) (*.f64 -2 (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))) (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 (sin.f64 a) (cos.f64 a)) (*.f64 1/3 (*.f64 (sin.f64 a) (cos.f64 a))))) (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))) (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)))))
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 b) 2)
(+.f64 (pow.f64 (cos.f64 b) 2) (*.f64 -2 (*.f64 (sin.f64 b) (*.f64 a (cos.f64 b)))))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (*.f64 -2 (*.f64 (sin.f64 b) (*.f64 a (cos.f64 b))))))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (*.f64 a (cos.f64 b)))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 (sin.f64 b) (cos.f64 b)) (*.f64 1/3 (*.f64 (sin.f64 b) (cos.f64 b))))))))
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(+.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 0)
(+.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) 0))
(+.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))) 0))
(+.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) 0))
(+.f64 0 (pow.f64 (cos.f64 (+.f64 b a)) 2))
(+.f64 (*.f64 0 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(+.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 0)
(-.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) 0))
(-.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 0 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(-.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))) 0))
(-.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) 0))
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(-.f64 (*.f64 0 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 1)
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (+.f64 0 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (/.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))))
(*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))))))
(*.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) -1)
(*.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (-.f64 (/.f64 0 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (-.f64 0 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))
(*.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (-.f64 0 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))))
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (*.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 1)
(/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))
(neg.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
Outputs
(pow.f64 (cos.f64 a) 2)
(+.f64 (pow.f64 (cos.f64 a) 2) (*.f64 -2 (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (*.f64 -2 (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))) (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 (cos.f64 a) 2) -1)) (pow.f64 b 2))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2))))
(+.f64 (+.f64 (pow.f64 (cos.f64 a) 2) (*.f64 -2 (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))) (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 (sin.f64 a) (cos.f64 a)) (*.f64 1/3 (*.f64 (sin.f64 a) (cos.f64 a))))) (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))) (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (+.f64 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 (cos.f64 a) (sin.f64 a)) (*.f64 (sin.f64 a) (*.f64 1/3 (cos.f64 a))))) (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 (cos.f64 a) 2) -1)) (pow.f64 b 2)))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)) (*.f64 (pow.f64 b 3) (*.f64 (sin.f64 a) (+.f64 (cos.f64 a) (*.f64 (cos.f64 a) 1/3)))))))
(+.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)) (*.f64 (pow.f64 b 3) (*.f64 (sin.f64 a) (+.f64 (cos.f64 a) (*.f64 (cos.f64 a) 1/3))))) (+.f64 (pow.f64 (cos.f64 a) 2) (*.f64 -2 (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))))
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 b -1))) 2)
(pow.f64 (cos.f64 (-.f64 a (neg.f64 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 b -1))) 2)
(pow.f64 (cos.f64 (-.f64 a (neg.f64 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 b -1))) 2)
(pow.f64 (cos.f64 (-.f64 a (neg.f64 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 b -1))) 2)
(pow.f64 (cos.f64 (-.f64 a (neg.f64 b))) 2)
(pow.f64 (cos.f64 b) 2)
(+.f64 (pow.f64 (cos.f64 b) 2) (*.f64 -2 (*.f64 (sin.f64 b) (*.f64 a (cos.f64 b)))))
(+.f64 (pow.f64 (cos.f64 b) 2) (*.f64 -2 (*.f64 a (*.f64 (cos.f64 b) (sin.f64 b)))))
(+.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (sin.f64 b) (*.f64 -2 (*.f64 a (cos.f64 b)))))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (*.f64 -2 (*.f64 (sin.f64 b) (*.f64 a (cos.f64 b))))))
(+.f64 (pow.f64 (cos.f64 b) 2) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (*.f64 -2 (*.f64 a (*.f64 (cos.f64 b) (sin.f64 b))))))
(+.f64 (pow.f64 (cos.f64 b) 2) (+.f64 (*.f64 -2 (*.f64 a (*.f64 (cos.f64 b) (sin.f64 b)))) (*.f64 (pow.f64 a 2) (+.f64 (neg.f64 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)))))
(+.f64 (pow.f64 (cos.f64 b) 2) (+.f64 (*.f64 (sin.f64 b) (*.f64 -2 (*.f64 a (cos.f64 b)))) (*.f64 (pow.f64 a 2) (+.f64 (neg.f64 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)))))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (+.f64 (*.f64 -2 (*.f64 (sin.f64 b) (*.f64 a (cos.f64 b)))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 (sin.f64 b) (cos.f64 b)) (*.f64 1/3 (*.f64 (sin.f64 b) (cos.f64 b))))))))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (+.f64 (*.f64 -2 (*.f64 a (*.f64 (cos.f64 b) (sin.f64 b)))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 (cos.f64 b) (sin.f64 b)) (*.f64 1/3 (*.f64 (cos.f64 b) (sin.f64 b))))))))
(+.f64 (pow.f64 (cos.f64 b) 2) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (sin.f64 b) (+.f64 (cos.f64 b) (*.f64 1/3 (cos.f64 b))))) (+.f64 (*.f64 -2 (*.f64 a (*.f64 (cos.f64 b) (sin.f64 b)))) (*.f64 (pow.f64 a 2) (+.f64 (neg.f64 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))))))
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(pow.f64 (cos.f64 (+.f64 a b)) 2)
(/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(pow.f64 (cos.f64 (+.f64 a b)) 2)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))
0.2b
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))))
0.2b
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a)))
3.7b
(cos.f64 (+.f64 b a))
Compiler

Compiled 109 to 27 computations (75.2% saved)

series84.0ms (0.7%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
68.0ms
b
@inf
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))
2.0ms
r
@0
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))
1.0ms
a
@0
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))
1.0ms
b
@0
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))
1.0ms
a
@-inf
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))

rewrite96.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1172×rational_best_oopsla_all_46_json_45_simplify-23
940×rational_best_oopsla_all_46_json-2
940×rational_best_oopsla_all_46_json-1
940×rational_best_oopsla_all_46_json-4
940×rational_best_oopsla_all_46_json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020189
1127189
2422177
32072177
Stop Event
node limit
Counts
3 → 111
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a)))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))
Outputs
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(cos.f64 (+.f64 b a)))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))))

simplify271.0ms (2.2%)

Algorithm
egg-herbie
Rules
1554×rational_best_oopsla_all_46_json_45_simplify-89
1396×rational_best_oopsla_all_46_json_45_simplify-13
1344×rational_best_oopsla_all_46_json_45_simplify-24
1192×rational_best_oopsla_all_46_json_45_simplify-74
884×rational_best_oopsla_all_46_json_45_simplify-10
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051218673
1184217733
2670717709
Stop Event
node limit
Counts
195 → 274
Calls
Call 1
Inputs
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) b))
(+.f64 (cos.f64 a) (+.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) b) (*.f64 (pow.f64 b 2) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a)) (*.f64 -1 (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a)))) (cos.f64 a)))))))
(+.f64 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (sin.f64 a) (*.f64 1/3 (sin.f64 a))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a)) (*.f64 -1 (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a)))) (cos.f64 a))))) (cos.f64 a))))) (+.f64 (cos.f64 a) (+.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) b) (*.f64 (pow.f64 b 2) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a)) (*.f64 -1 (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a)))) (cos.f64 a))))))))
(*.f64 -1 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 (sin.f64 a) b))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 (sin.f64 a) b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 (sin.f64 a) b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))))))
(*.f64 -1 (/.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (*.f64 (sin.f64 a) b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (cos.f64 a)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (*.f64 (sin.f64 a) b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (cos.f64 a)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (pow.f64 (cos.f64 a) 3)) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (*.f64 (sin.f64 a) b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2) (cos.f64 a)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))))))
(pow.f64 (cos.f64 b) 2)
(+.f64 (*.f64 (-.f64 (*.f64 -2 (*.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (*.f64 b (pow.f64 (cos.f64 b) 2)))) a) (pow.f64 (cos.f64 b) 2))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -2 (*.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (*.f64 b (pow.f64 (cos.f64 b) 2)))) b)) (*.f64 -1/2 (pow.f64 (cos.f64 b) 2)))) (pow.f64 a 2)) (+.f64 (*.f64 (-.f64 (*.f64 -2 (*.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (*.f64 b (pow.f64 (cos.f64 b) 2)))) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 (sin.f64 b) (cos.f64 b)) (*.f64 1/3 (*.f64 (sin.f64 b) (cos.f64 b)))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -2 (*.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (*.f64 b (pow.f64 (cos.f64 b) 2))))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -2 (*.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (*.f64 b (pow.f64 (cos.f64 b) 2)))) b)) (*.f64 -1/2 (pow.f64 (cos.f64 b) 2)))) b)) (*.f64 1/6 (*.f64 b (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -2 (*.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (*.f64 b (pow.f64 (cos.f64 b) 2)))) b)) (*.f64 -1/2 (pow.f64 (cos.f64 b) 2)))) (pow.f64 a 2)) (+.f64 (*.f64 (-.f64 (*.f64 -2 (*.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (*.f64 b (pow.f64 (cos.f64 b) 2)))) a) (pow.f64 (cos.f64 b) 2))))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 b 2)) (*.f64 (-.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (cos.f64 a))) (*.f64 1/2 (/.f64 (sin.f64 a) (cos.f64 a)))) (pow.f64 b 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 b 2)) (+.f64 (*.f64 (pow.f64 b 4) (-.f64 1/24 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (cos.f64 a))) (*.f64 1/2 (/.f64 (sin.f64 a) (cos.f64 a))))) (cos.f64 a))))) (*.f64 (-.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (cos.f64 a))) (*.f64 1/2 (/.f64 (sin.f64 a) (cos.f64 a)))) (pow.f64 b 3)))))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b))) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 a) b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (cos.f64 (+.f64 a b))) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b))) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 a) b)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 3) (cos.f64 (+.f64 a b))) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (cos.f64 (+.f64 a b))) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b))) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 a) b))))))
(*.f64 -1 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (*.f64 (sin.f64 a) b))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (cos.f64 a)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (*.f64 (sin.f64 a) b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (cos.f64 a)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (pow.f64 (cos.f64 a) 2)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3))))))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (*.f64 (sin.f64 a) b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (cos.f64 a)) (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (pow.f64 (cos.f64 a) 2)) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (pow.f64 (cos.f64 a) 3)) (*.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))))))
(cos.f64 b)
(+.f64 (*.f64 a (-.f64 (*.f64 -1 (sin.f64 b)) (*.f64 -1 (*.f64 b (cos.f64 b))))) (cos.f64 b))
(+.f64 (*.f64 a (-.f64 (*.f64 -1 (sin.f64 b)) (*.f64 -1 (*.f64 b (cos.f64 b))))) (+.f64 (*.f64 (pow.f64 a 2) (*.f64 b (-.f64 (*.f64 -1 (sin.f64 b)) (*.f64 -1 (*.f64 b (cos.f64 b)))))) (cos.f64 b)))
(+.f64 (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/6 (sin.f64 b)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1 (sin.f64 b)) (*.f64 -1 (*.f64 b (cos.f64 b))))) (+.f64 (*.f64 1/6 (*.f64 b (cos.f64 b))) (*.f64 -1 (*.f64 (pow.f64 b 2) (-.f64 (*.f64 -1 (sin.f64 b)) (*.f64 -1 (*.f64 b (cos.f64 b)))))))))) (+.f64 (*.f64 a (-.f64 (*.f64 -1 (sin.f64 b)) (*.f64 -1 (*.f64 b (cos.f64 b))))) (+.f64 (*.f64 (pow.f64 a 2) (*.f64 b (-.f64 (*.f64 -1 (sin.f64 b)) (*.f64 -1 (*.f64 b (cos.f64 b)))))) (cos.f64 b))))
(/.f64 (cos.f64 (+.f64 a b)) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (cos.f64 (+.f64 a b)) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (cos.f64 (+.f64 a b)) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (cos.f64 (+.f64 a b)) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))))
(/.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b))) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
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(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) (neg.f64 (neg.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))))
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0)
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) 0))
(+.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(+.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(-.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0)
(-.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 0))
(-.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) 0))
(-.f64 0 (*.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) 1)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 1 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) -1)
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (-.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
Outputs
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) b))
(+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 a) -1)) b))
(+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))
(+.f64 (cos.f64 a) (+.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) b) (*.f64 (pow.f64 b 2) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a)) (*.f64 -1 (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a)))) (cos.f64 a)))))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 a) -1)) b) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (cos.f64 a) -1) (-.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 a) -1))) (cos.f64 a))))))))
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1
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(cos.f64 b)
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(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
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(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 1 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) -1)
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (-.f64 0 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))

eval664.0ms (5.4%)

Compiler

Compiled 38880 to 14408 computations (62.9% saved)

prune469.0ms (3.8%)

Pruning

41 alts after pruning (34 fresh and 7 done)

PrunedKeptTotal
New99291001
Fresh32528
Picked101
Done178
Total997411038
Error
13.2b
Counts
1038 → 41
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
(/.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
26.7b
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
29.1b
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
38.2b
(/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))
25.8b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
40.1b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 1 (*.f64 b a)))
26.3b
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
24.6b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
38.1b
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) 2))
31.0b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2)))))
31.1b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (+.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 a) -1)) b) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (cos.f64 a) -1) (-.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 a) -1))) (cos.f64 a)))))))))
30.5b
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 0 (*.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a))))) (cos.f64 (+.f64 b a))))
40.7b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (+.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2)))) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 (+.f64 b a))))
40.6b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (+.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (pow.f64 a 2) (*.f64 -1/2 (cos.f64 b))))) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))))) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))))
29.0b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))) (cos.f64 (+.f64 b a))))
24.7b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 b))) (cos.f64 (+.f64 b a))))
38.2b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
28.5b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 (+.f64 b a))))
24.0b
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a))))
15.3b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
29.0b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
40.9b
(/.f64 (*.f64 r b) (+.f64 (*.f64 b (neg.f64 a)) 1))
31.6b
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
31.5b
(/.f64 (*.f64 b r) (cos.f64 a))
41.2b
(+.f64 (*.f64 r b) (*.f64 (*.f64 r 1/3) (pow.f64 b 3)))
30.8b
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
35.3b
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
41.4b
(*.f64 (sin.f64 b) (+.f64 r (*.f64 b (*.f64 r a))))
37.9b
(*.f64 (sin.f64 b) r)
40.6b
(*.f64 r b)
57.8b
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)))
55.6b
(neg.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b (*.f64 (sin.f64 b) r))) (pow.f64 (cos.f64 (+.f64 a b)) 2)))
55.4b
(neg.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 a) 2)))
54.5b
(neg.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (sin.f64 b) (*.f64 -2 (*.f64 a (cos.f64 b)))))))
55.3b
(neg.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 a) 2) (*.f64 -2 (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))))))
59.7b
(neg.f64 (/.f64 r a))
Compiler

Compiled 877 to 533 computations (39.2% saved)

regimes137.0ms (1.1%)

Counts
63 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(/.f64 (*.f64 r b) (+.f64 (*.f64 b (neg.f64 a)) 1))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)))
(*.f64 (sin.f64 b) (+.f64 r (*.f64 b (*.f64 r a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 1 (*.f64 b a)))
(+.f64 (*.f64 r b) (*.f64 (*.f64 r 1/3) (pow.f64 b 3)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (neg.f64 a)) 1))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (+.f64 (*.f64 b r) (*.f64 (pow.f64 b 3) (*.f64 r -1/6))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) 2))
(/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))
(neg.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 a) 2)))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(neg.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(neg.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b (*.f64 (sin.f64 b) r))) (pow.f64 (cos.f64 (+.f64 a b)) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) (*.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 (+.f64 a b)) 2))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (pow.f64 a 2) (*.f64 -1/2 (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 (+.f64 b a))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(neg.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 a) 2) (*.f64 -2 (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))))))
(neg.f64 (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (sin.f64 b) (*.f64 -2 (*.f64 a (cos.f64 b)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 0 (*.f64 (*.f64 (cos.f64 a) (/.f64 1 (cos.f64 a))) (*.f64 (cos.f64 a) (/.f64 -1 (cos.f64 a))))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 a))) (cos.f64 (+.f64 b a))))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (+.f64 (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (pow.f64 a 2) (*.f64 -1/2 (cos.f64 b))))) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (+.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) (*.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2)))) (/.f64 1 (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (+.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 a) -1)) b) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (cos.f64 a) -1) (-.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 a) -1))) (cos.f64 a)))))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Calls

4 calls:

32.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
29.0ms
b
28.0ms
a
28.0ms
r
Results
ErrorSegmentsBranch
15.3b1r
15.3b1a
15.3b1b
15.3b1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1253 to 397 computations (68.3% saved)

regimes67.0ms (0.5%)

Counts
14 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(/.f64 (*.f64 r b) (+.f64 (*.f64 b (neg.f64 a)) 1))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)))
(*.f64 (sin.f64 b) (+.f64 r (*.f64 b (*.f64 r a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 1 (*.f64 b a)))
(+.f64 (*.f64 r b) (*.f64 (*.f64 r 1/3) (pow.f64 b 3)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (neg.f64 a)) 1))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
Calls

3 calls:

22.0ms
a
21.0ms
b
21.0ms
r
Results
ErrorSegmentsBranch
23.5b3r
15.3b3a
15.5b3b
Compiler

Compiled 121 to 53 computations (56.2% saved)

bsearch107.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
40.0ms
1474.4134005358992
942089.1758814824
68.0ms
-116.25206173809924
-7.4180303047515e-9
Results
33.0ms172×body256valid
30.0msbody2048valid
28.0ms66×body1024valid
12.0ms41×body512valid
Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes29.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(/.f64 (*.f64 r b) (+.f64 (*.f64 b (neg.f64 a)) 1))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b a)))
(*.f64 (sin.f64 b) (+.f64 r (*.f64 b (*.f64 r a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 1 (*.f64 b a)))
(+.f64 (*.f64 r b) (*.f64 (*.f64 r 1/3) (pow.f64 b 3)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (neg.f64 a)) 1))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
Calls

3 calls:

12.0ms
b
7.0ms
r
7.0ms
a
Results
ErrorSegmentsBranch
29.0b1r
29.0b1a
29.0b1b
Compiler

Compiled 114 to 51 computations (55.3% saved)

regimes48.0ms (0.4%)

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

3 calls:

19.0ms
a
19.0ms
b
7.0ms
r
Results
ErrorSegmentsBranch
31.5b1r
30.3b3a
28.8b3b
Compiler

Compiled 107 to 50 computations (53.3% saved)

bsearch90.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
42.0ms
232691299.27141744
180968193970635870.0
49.0ms
-205201258.31689587
-5.955403010466479e-6
Results
41.0ms80×body1024valid
30.0ms185×body256valid
14.0ms37×body512valid
1.0msbody2048valid
Compiler

Compiled 398 to 279 computations (29.9% saved)

regimes31.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(/.f64 (*.f64 r b) (+.f64 (*.f64 b (neg.f64 a)) 1))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) 1)
Outputs
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (sin.f64 b) r)
Calls

3 calls:

12.0ms
b
12.0ms
a
4.0ms
r
Results
ErrorSegmentsBranch
31.5b1r
30.3b3a
28.8b3b
Compiler

Compiled 48 to 28 computations (41.7% saved)

bsearch83.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
106963.19391846018
232691299.27141744
48.0ms
-205201258.31689587
-5.955403010466479e-6
Results
38.0ms76×body1024valid
30.0ms178×body256valid
9.0ms30×body512valid
3.0msbody2048valid
Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes13.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(/.f64 (*.f64 r b) (+.f64 (*.f64 b (neg.f64 a)) 1))
(*.f64 (sin.f64 b) r)
Outputs
(*.f64 (sin.f64 b) r)
Calls

3 calls:

4.0ms
r
4.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
37.9b1r
37.9b1a
37.9b1b
Compiler

Compiled 36 to 22 computations (38.9% saved)

regimes11.0ms (0.1%)

Accuracy

Total -19.7b remaining (-48.7%)

Threshold costs -19.7b (-48.7%)

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

3 calls:

3.0ms
a
3.0ms
r
3.0ms
b
Results
ErrorSegmentsBranch
40.6b1r
40.6b1a
40.6b1b
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043267
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(if (<=.f64 a -1770887431076117/73786976294838206464) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (if (<=.f64 a 1500) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(if (<=.f64 b -580000) (*.f64 (sin.f64 b) r) (if (<=.f64 b 260000000) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b -2100) (*.f64 (sin.f64 b) r) (if (<=.f64 b 850000) (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(if (<=.f64 a -1770887431076117/73786976294838206464) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (if (<=.f64 a 1500) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(if (<=.f64 b -580000) (*.f64 (sin.f64 b) r) (if (<=.f64 b 260000000) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b -2100) (*.f64 (sin.f64 b) r) (if (<=.f64 b 850000) (/.f64 (*.f64 b r) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)
Compiler

Compiled 119 to 69 computations (42% saved)

soundness0.0ms (0%)

end73.0ms (0.6%)

Compiler

Compiled 101 to 37 computations (63.4% saved)

Profiling

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