Details

Time bar (total: 22.1s)

analyze454.0ms (2.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample10.8s (48.9%)

Results
4.7s2114×body2048valid
4.2s3071×body1024valid
763.0ms1523×body512valid
703.0ms90×body4096valid
422.0ms1457×body256valid
2.0msbody8192valid
Bogosity

preprocess127.0ms (0.6%)

Algorithm
egg-herbie
Rules
1432×rational.json-simplify-35
964×rational.json-simplify-50
910×rational.json-simplify-2
896×rational.json-simplify-1
854×rational.json-simplify-26
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11821
23021
35121
49721
520221
648421
7130821
8261121
9378321
10467321
11573921
12677521
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify124.0ms (0.6%)

Algorithm
egg-herbie
Rules
1432×rational.json-simplify-35
964×rational.json-simplify-50
910×rational.json-simplify-2
896×rational.json-simplify-1
854×rational.json-simplify-26
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11821
23021
35121
49721
520221
648421
7130821
8261121
9378321
10467321
11573921
12677521
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
31.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
2.2b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms
x
@inf
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms
x
@0
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms
x
@0
(-.f64 1 (cos.f64 x))
0.0ms
x
@inf
(-.f64 1 (cos.f64 x))

rewrite80.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1436×rational.json-1
1436×rational.json-2
1436×rational.json-4
1436×rational.json-3
1428×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
17232
219032
344932
4111532
5397232
Stop Event
node limit
Counts
2 → 109
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
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(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) -2)) (*.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))))))))

simplify124.0ms (0.6%)

Algorithm
egg-herbie
Rules
1296×rational.json-simplify-35
1002×rational.json-simplify-39
900×rational.json-simplify-2
726×rational.json-simplify-1
660×exponential.json-simplify-26
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02303147
14883127
218653007
342733007
472393007
Stop Event
node limit
Counts
117 → 142
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (neg.f64 (+.f64 -2 (cos.f64 x))))
(+.f64 (neg.f64 (+.f64 -2 (cos.f64 x))) -1)
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 1/8)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) -1/2)
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(*.f64 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 -1/2 (*.f64 (-.f64 1 (cos.f64 x)) -2))
(*.f64 1/8 (*.f64 (-.f64 1 (cos.f64 x)) 8))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 8)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) -2)
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8)) 16)
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) -4)
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2)) 2)
(/.f64 (neg.f64 (*.f64 4 (+.f64 (cos.f64 x) -1))) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (/.f64 1 (sin.f64 x)) 4))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (/.f64 1 (sin.f64 x)) 1/4))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2)
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 2 (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (sin.f64 x)))
(*.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 4) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/4) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 1/2 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 4)
(*.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(*.f64 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 8))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) -2)) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(*.f64 (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 -1 (neg.f64 (+.f64 -2 (cos.f64 x))))
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))
(-.f64 -1 (+.f64 (cos.f64 x) -2))
(+.f64 (neg.f64 (+.f64 -2 (cos.f64 x))) -1)
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))
(-.f64 -1 (+.f64 (cos.f64 x) -2))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(-.f64 1 (cos.f64 x))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 1/8)
(-.f64 1 (cos.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) -1/2)
(-.f64 1 (cos.f64 x))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(-.f64 1 (cos.f64 x))
(*.f64 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(*.f64 -1/2 (*.f64 (-.f64 1 (cos.f64 x)) -2))
(-.f64 1 (cos.f64 x))
(*.f64 1/8 (*.f64 (-.f64 1 (cos.f64 x)) 8))
(-.f64 1 (cos.f64 x))
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(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 2 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 8))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) -2)) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval35.0ms (0.2%)

Compiler

Compiled 2166 to 1322 computations (39% saved)

prune32.0ms (0.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New12616142
Fresh000
Picked011
Done000
Total12617143
Error
0.4b
Counts
143 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
32.1b
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
33.7b
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
30.6b
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
30.4b
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
32.0b
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
33.7b
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x))
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
33.6b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2))
31.9b
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
32.0b
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
33.7b
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
31.9b
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
33.7b
(*.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
33.7b
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
33.7b
(*.f64 (sin.f64 x) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
29.8b
(*.f64 1/2 x)
Compiler

Compiled 580 to 394 computations (32.1% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
0.1b
(*.f64 1/24 (pow.f64 x 3))
Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/24 (pow.f64 x 3))
0.0ms
x
@inf
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
0.0ms
x
@inf
(*.f64 1/24 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 1/24 (pow.f64 x 3))
0.0ms
x
@0
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))

rewrite186.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1560×rational.json-simplify-1
1546×rational.json-simplify-35
1312×exponential.json-3
1312×rational.json-1
1312×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
16538
212538
324338
444538
5102938
6282738
7486038
8554238
9677338
10761838
11761838
Stop Event
node limit
Counts
2 → 41
Calls
Call 1
Inputs
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 (pow.f64 x 3) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/24 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)))))

simplify207.0ms (0.9%)

Algorithm
egg-herbie
Rules
4382×rational.json-simplify-41
2798×rational.json-simplify-43
2152×rational.json-simplify-35
1164×rational.json-simplify-2
648×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092914
1203914
2374914
3820914
42023914
52798914
63310914
73597914
83737914
93856914
103963914
114068914
124173914
134278914
144278914
Stop Event
node limit
Counts
44 → 46
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 (pow.f64 x 3) 1/48))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2)
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 4)
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 8)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))))) 256)
(pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 0)
(*.f64 1/2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)
(*.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(*.f64 2 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/2)
(*.f64 4 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8))
(*.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 1/4)
(*.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8)
(*.f64 1/4 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))
(*.f64 1/4 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)))
(*.f64 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)) 2)
(*.f64 1/8 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))
(*.f64 1/8 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)))
(*.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8) 4)
(*.f64 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)) 1/8)
(*.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)) 1/4)
(/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2)
(/.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 4)
(/.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))))) 256)
(pow.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)
Outputs
(*.f64 1/2 x)
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 (pow.f64 x 3) 1/48))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 4)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 8)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)) 16)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))) 64)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))))) 128)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))))) 256)
(*.f64 1/24 (pow.f64 x 3))
(pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 0)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 1/2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 2 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 x 1/4)))
(*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/2)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 4 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 1/4)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 1/4 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 1/4 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)) 2)
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 x 1/4)))
(*.f64 1/8 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 1/8 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)))
(*.f64 1/8 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x 4)))
(*.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8) 4)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)) 1/8)
(*.f64 1/8 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x 4)))
(*.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)) 1/4)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(/.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 4)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(/.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 8)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(/.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)) 16)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))) 32)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))) 64)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))))) 128)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))))) 256)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(pow.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
0.2b
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
1.3b
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
2.2b
(+.f64 (cos.f64 x) -1)
Compiler

Compiled 39 to 22 computations (43.6% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
1.0ms
x
@inf
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
1.0ms
x
@-inf
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
0.0ms
x
@-inf
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
0.0ms
x
@inf
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))

rewrite91.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1650×rational.json-1
1650×rational.json-2
1650×rational.json-4
1650×rational.json-3
1642×exponential.json-3
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01292
19492
222586
352884
4131580
5469480
Stop Event
node limit
Counts
4 → 148
Calls
Call 1
Inputs
(+.f64 (cos.f64 x) -1)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (cos.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 4 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (*.f64 8 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (neg.f64 (sin.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 2 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/4 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (*.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))))

simplify109.0ms (0.5%)

Algorithm
egg-herbie
Rules
1356×rational.json-simplify-53
1080×rational.json-simplify-2
708×rational.json-simplify-52
648×rational.json-simplify-50
614×rational.json-simplify-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03165842
17175134
227045006
345354994
Stop Event
node limit
Counts
196 → 246
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -17/40320 (pow.f64 x 7)) (*.f64 -1/240 (pow.f64 x 5)))))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) -1) 0)
(-.f64 0 (-.f64 1 (cos.f64 x)))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(*.f64 1 (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 1/2)
(*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 1/2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)
(*.f64 (-.f64 1 (cos.f64 x)) -1)
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 1/8)
(*.f64 1/2 (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -1/2)
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 x) -1) 4))
(/.f64 (+.f64 (cos.f64 x) -1) 1)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -2)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8)) 16)
(/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -4)
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2)) 2)
(/.f64 (/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -1) 4)
(pow.f64 (+.f64 (cos.f64 x) -1) 1)
(neg.f64 (-.f64 1 (cos.f64 x)))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(-.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)
(*.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(*.f64 1/2 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (neg.f64 (sin.f64 x))))
(*.f64 1/4 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (*.f64 (sin.f64 x) -2))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 4 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (*.f64 8 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)
(/.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))) 2)
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x))) 4)
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (neg.f64 (sin.f64 x))) 8)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(+.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)
(-.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
(-.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (*.f64 (sin.f64 x) 2))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) 1/2))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 2 (sin.f64 x)) 1/2))
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (sin.f64 x)))
(*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 4)))
(*.f64 4 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) 1))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/4 (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 (sin.f64 x)) 1))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 1/4)
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))))
(*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) -1) 1/2))
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) -1) 1/2))
(*.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(*.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)) 2)
(*.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (sin.f64 x)))
(*.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (+.f64 (cos.f64 x) -1) 4))
(*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 0)
(+.f64 0 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)
(*.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(*.f64 1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2))
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 1/2)
(*.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))
(*.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2))
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2) 2)
(/.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 2)
(/.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) 8)
(/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -2)
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))) 16)
(/.f64 (/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) 2)
(pow.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(neg.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3))) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5))))
(+.f64 (*.f64 (pow.f64 x 3) -1/24) (+.f64 (*.f64 -1/2 x) (*.f64 (pow.f64 x 5) -1/240)))
(+.f64 (*.f64 (pow.f64 x 5) -1/240) (+.f64 (*.f64 -1/2 x) (*.f64 (pow.f64 x 3) -1/24)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (pow.f64 x 5) -1/240)))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -17/40320 (pow.f64 x 7)) (*.f64 -1/240 (pow.f64 x 5)))))
(+.f64 (*.f64 (pow.f64 x 3) -1/24) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 (pow.f64 x 5) -1/240) (*.f64 (pow.f64 x 7) -17/40320))))
(+.f64 (*.f64 (pow.f64 x 7) -17/40320) (+.f64 (*.f64 (pow.f64 x 5) -1/240) (+.f64 (*.f64 -1/2 x) (*.f64 (pow.f64 x 3) -1/24))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 (pow.f64 x 3) -1/24) (+.f64 (*.f64 (pow.f64 x 5) -1/240) (*.f64 (pow.f64 x 7) -17/40320))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 (pow.f64 x 5) -1/240) (+.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (pow.f64 x 7) -17/40320))))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 x 1/2))
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 1 (*.f64 x 1/2)))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 1 (*.f64 x 1/2))))
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3))) (+.f64 1 (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 1 (*.f64 1/240 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (cos.f64 x) -1) 0)
(+.f64 (cos.f64 x) -1)
(-.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(*.f64 1 (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 1/2)
(*.f64 1/2 (+.f64 (*.f64 2 (cos.f64 x)) -2))
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(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 4)
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) 8)
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -2)
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))) 16)
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) 2)
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(pow.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
0.2b
(/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
2.2b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 88 to 43 computations (51.1% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
0.0ms
x
@inf
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
0.0ms
x
@inf
(/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
0.0ms
x
@0
(/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))

rewrite77.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1452×rational.json-simplify-2
1422×exponential.json-3
1422×rational.json-1
1422×rational.json-2
1422×rational.json-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
012110
1107110
240146
3189446
4494946
Stop Event
node limit
Counts
2 → 83
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change 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x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (fabs.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (fabs.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))))) (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (sin.f64 x) 2)) (fabs.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2))) (fabs.f64 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) (fabs.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) (*.f64 (/.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))))

simplify63.0ms (0.3%)

Algorithm
egg-herbie
Rules
1110×rational.json-simplify-61
1040×rational.json-simplify-43
948×rational.json-simplify-44
946×rational.json-simplify-47
862×rational.json-simplify-35
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01894233
14574121
214974025
Stop Event
node limit
Counts
107 → 160
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/48 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/2))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2)))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 1/2))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) 1/2)
(*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2)) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 x) -1))
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)))
(*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (fabs.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (fabs.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))))))
(*.f64 (fabs.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))))) (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (fabs.f64 (*.f64 (sin.f64 x) 2)) (fabs.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2))))
(*.f64 (fabs.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2))) (fabs.f64 (*.f64 (sin.f64 x) 2)))
(*.f64 (fabs.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))
(*.f64 (fabs.f64 (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) (fabs.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 2))
(*.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (sin.f64 x) 2))
(*.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1/2))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(*.f64 -1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) -1)
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1 (sin.f64 x)) 2))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) (*.f64 (/.f64 1 (sin.f64 x)) 2))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))) -1)
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 2/45 (pow.f64 x 6))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (*.f64 2/45 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8))) (*.f64 -1/3 (pow.f64 x 4))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/48 (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (*.f64 (pow.f64 x 4) 1/48)))
(+.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 (pow.f64 x 4) 1/48)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(+.f64 (*.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 (*.f64 (pow.f64 x 4) 1/48) (*.f64 (pow.f64 x 6) 17/5760))))
(+.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) 1/8) (+.f64 (*.f64 (pow.f64 x 4) 1/48) (*.f64 (pow.f64 x 6) 17/5760))))
(+.f64 (*.f64 (pow.f64 x 4) 1/48) (+.f64 (+.f64 1/2 (*.f64 (pow.f64 x 6) 17/5760)) (*.f64 (pow.f64 x 2) 1/8)))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 2 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 1))))))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x)))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/2))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2)))
(*.f64 (sin.f64 x) (*.f64 2 (/.f64 1 (*.f64 2 (/.f64 1 (sin.f64 x))))))
(*.f64 2 (*.f64 (/.f64 1/2 (/.f64 1 (sin.f64 x))) (sin.f64 x)))
(*.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) 2)))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 1/2))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (sin.f64 x) (*.f64 2 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 2 (-.f64 1 (cos.f64 x)))))))
(*.f64 2 (*.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x))))) (sin.f64 x)))
(*.f64 2 (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) 1/2)
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
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(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 4 (sin.f64 x))))))
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1 (sin.f64 x)) 2))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) (*.f64 (/.f64 1 (sin.f64 x)) 2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) 1))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 1 (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (*.f64 1/2 (/.f64 1 (sin.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x))))))))
(*.f64 (/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))) -1)
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 4 (sin.f64 x))))))
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
0.2b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
0.3b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
2.2b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 75 to 38 computations (49.3% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
1.0ms
x
@-inf
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
0.0ms
x
@inf
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
0.0ms
x
@-inf
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
0.0ms
x
@0
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))

rewrite177.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1118×rational.json-simplify-51
880×rational.json-simplify-49
854×rational.json-simplify-46
692×rational.json-simplify-35
582×rational.json-simplify-43
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
012179
1100167
2297115
31057115
45239115
57714115
Stop Event
node limit
Counts
3 → 344
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
Outputs
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simplify232.0ms (1%)

Algorithm
egg-herbie
Rules
1470×rational.json-simplify-38
1018×rational.json-simplify-2
866×rational.json-simplify-50
736×rational.json-simplify-35
720×rational.json-simplify-43
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070424286
1282823544
2499023138
Stop Event
node limit
Counts
380 → 667
Calls
Call 1
Inputs
(/.f64 4 (pow.f64 x 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (*.f64 1/1512 (pow.f64 x 4)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) 2/3)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (*.f64 31/40320 (pow.f64 x 8)) (+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(-.f64 0 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(-.f64 0 (/.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 1)
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(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 0)
(-.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x))))
(-.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) 1))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 1)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 2))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) 1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 (*.f64 (sin.f64 x) -2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 -1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) 1/2)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 4))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) -2))))
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) -2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 -1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (+.f64 (cos.f64 x) -1))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x))) -1)
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (sin.f64 x)) -1)
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 1)
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (sin.f64 x)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))))
Outputs
(/.f64 4 (pow.f64 x 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2))) 2/3)
(+.f64 (*.f64 (pow.f64 x 2) 1/60) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 2) 1/60) 2/3))
(-.f64 (+.f64 (*.f64 1/1512 (pow.f64 x 4)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) 2/3)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 x 2) 1/60) (*.f64 1/1512 (pow.f64 x 4)))) 2/3)
(+.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/60)) (-.f64 (*.f64 1/1512 (pow.f64 x 4)) 2/3))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/60) 2/3) (*.f64 1/1512 (pow.f64 x 4))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/4)
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 4) 1/24))
(+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (*.f64 (pow.f64 x 4) 1/24) (*.f64 17/2880 (pow.f64 x 6))))
(+.f64 (*.f64 31/40320 (pow.f64 x 8)) (+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 4) 1/24)) (*.f64 31/40320 (pow.f64 x 8))))
(+.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/24) (*.f64 17/2880 (pow.f64 x 6))) (*.f64 31/40320 (pow.f64 x 8))))
(+.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (*.f64 31/40320 (pow.f64 x 8)) (+.f64 (*.f64 (pow.f64 x 4) 1/24) (*.f64 17/2880 (pow.f64 x 6)))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(-.f64 0 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
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(*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))))
(/.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))

eval944.0ms (4.3%)

Compiler

Compiled 38934 to 22359 computations (42.6% saved)

prune1.1s (4.9%)

Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New1440311471
Fresh8311
Picked101
Done145
Total1450381488
Error
0.3b
Counts
1488 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
33.7b
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
33.7b
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
33.7b
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
32.0b
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
31.9b
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x))))
31.9b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
32.1b
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
33.6b
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
33.7b
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1 (-.f64 1 (cos.f64 x))))))
33.7b
(/.f64 (sin.f64 x) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
33.7b
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
31.9b
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
33.7b
(/.f64 -1 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
31.9b
(/.f64 -1 (*.f64 (sin.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
32.0b
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
31.9b
(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
30.6b
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
30.4b
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
33.7b
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))))
32.0b
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
32.0b
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
61.3b
(+.f64 -1 1)
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
33.8b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))))
33.9b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))))
33.8b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
33.8b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
31.9b
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
33.0b
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
33.8b
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 1 (cos.f64 x))))))
32.0b
(*.f64 (sin.f64 x) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))
33.1b
(*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
31.9b
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))
24.5b
(*.f64 (sin.f64 x) 1/2)
29.8b
(*.f64 1/2 x)
Compiler

Compiled 1786 to 1117 computations (37.5% saved)

localize5.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize296.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
0.3b
(+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)
1.3b
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
2.2b
(+.f64 (cos.f64 x) -1)
Compiler

Compiled 67 to 42 computations (37.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
0.0ms
x
@inf
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
0.0ms
x
@-inf
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
0.0ms
x
@-inf
(+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)
0.0ms
x
@inf
(+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)

rewrite84.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1528×rational.json-1
1528×rational.json-2
1528×rational.json-4
1528×rational.json-3
1520×exponential.json-3
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01478
111272
226060
359654
4146952
5470848
Stop Event
node limit
Counts
2 → 73
Calls
Call 1
Inputs
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
(+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (/.f64 1/2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 1/2) (/.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (*.f64 4 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (*.f64 8 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (neg.f64 (sin.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))))

simplify203.0ms (0.9%)

Algorithm
egg-herbie
Rules
1610×rational.json-simplify-35
1064×rational.json-simplify-1
942×rational.json-simplify-51
896×rational.json-simplify-2
536×rational.json-simplify-41
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01653183
14063099
29672679
327752493
454822493
569762493
Stop Event
node limit
Counts
97 → 101
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (+.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(-.f64 0 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2))
(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)
(*.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 1/2) (/.f64 2 (neg.f64 (sin.f64 x))))
(*.f64 1/4 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) -2))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (*.f64 4 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (*.f64 8 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))) 2)
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))) 4)
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (neg.f64 (sin.f64 x))) 8)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2))
(-.f64 -1 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (neg.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) 1)
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 0 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(*.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)
(*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2))
(*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 1/2)
(*.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
(*.f64 1/2 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)))
(*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) -2)
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) 2)
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) -2)
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 2)
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) -4)
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) -8)
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 16)
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)) 2)
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 4)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 8)
(pow.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(neg.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
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(-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(-.f64 (neg.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) 1)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(-.f64 0 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 1 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2))
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 1/2)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 1/4)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 1/2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 1/2 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)))
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) -2)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) 2)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) -2)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 2)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) -4)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 4)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) -8)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 8)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 16)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)) 2)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 4)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 8)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(pow.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(neg.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)

localize86.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
0.3b
(pow.f64 (sin.f64 x) 2)
2.2b
(-.f64 1 (cos.f64 x))
15.4b
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
Compiler

Compiled 59 to 34 computations (42.4% saved)

series1.0ms (0%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
0.0ms
x
@0
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
0.0ms
x
@-inf
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
0.0ms
x
@inf
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
0.0ms
x
@0
(pow.f64 (sin.f64 x) 2)

rewrite93.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1516×rational.json-1
1516×rational.json-2
1516×rational.json-4
1516×rational.json-3
1508×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
18961
221261
348961
4118361
5428261
Stop Event
node limit
Counts
3 → 153
Calls
Call 1
Inputs
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))))

simplify279.0ms (1.3%)

Algorithm
egg-herbie
Rules
1508×rational.json-simplify-39
1372×rational.json-simplify-2
802×rational.json-simplify-53
554×rational.json-simplify-50
530×rational.json-simplify-43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02935987
15855873
231375449
358225329
Stop Event
node limit
Counts
165 → 194
Calls
Call 1
Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (*.f64 31/40320 (pow.f64 x 8)) (+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)
(+.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)
(-.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2)))))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 2 (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 1)
(*.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1/2 (pow.f64 (sin.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 -1 (/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)))))
(*.f64 4 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) 4)))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 4))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (pow.f64 (sin.f64 x) 2))) 1/2)
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) 4)))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/4))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) (*.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) 1/2))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 -1 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) (pow.f64 (sin.f64 x) 2)) 1/4)
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))
(*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))
(*.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (pow.f64 (sin.f64 x) 2))))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) -2)))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)))))
(*.f64 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) -1)
(*.f64 (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) 2)
(*.f64 (/.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2))
(*.f64 (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))
(*.f64 1/4 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))
(*.f64 (/.f64 -1 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) (/.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))
(*.f64 (*.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) 1/2) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))
(*.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 1/2 (/.f64 2 (pow.f64 (sin.f64 x) 2))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)))) -1)
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) 4)) 4)
(*.f64 (/.f64 1/2 (neg.f64 (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2))
(*.f64 (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 4) 4)
(*.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2))
(*.f64 (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2))
(pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 1)
(neg.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(neg.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(neg.f64 (/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))
(*.f64 4 (pow.f64 (*.f64 (sin.f64 x) 1/2) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 1/8)
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(*.f64 1/4 (pow.f64 (*.f64 2 (sin.f64 x)) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)
(*.f64 1/8 (*.f64 (pow.f64 (sin.f64 x) 2) 8))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 1/2) 2) 4)
(*.f64 (pow.f64 (*.f64 2 (sin.f64 x)) 2) 1/4)
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(/.f64 2 (/.f64 2 (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(/.f64 -1 (/.f64 -1 (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(/.f64 1/2 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2))) -2)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(+.f64 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1)
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(*.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)
(*.f64 -1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 4 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))
(*.f64 4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 1/4)
(*.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 1/8)
(*.f64 1/2 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -1/2)
(*.f64 1/4 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))
(*.f64 1/4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2))
(*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) 2)
(*.f64 1/8 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4)
(*.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) 4)
(*.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2) 1/4)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4)
(/.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -2)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) 16)
(/.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -4)
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) 2)
(/.f64 (neg.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 4)
(neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
Outputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 17/2880 (pow.f64 x 6))))
(+.f64 (*.f64 31/40320 (pow.f64 x 8)) (+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) (*.f64 31/40320 (pow.f64 x 8))))
(+.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) (+.f64 (*.f64 31/40320 (pow.f64 x 8)) (*.f64 17/2880 (pow.f64 x 6))))
(+.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) (+.f64 (*.f64 17/2880 (pow.f64 x 6)) (*.f64 31/40320 (pow.f64 x 8))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 31/40320 (pow.f64 x 8))) (*.f64 17/2880 (pow.f64 x 6))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/3))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 2/45)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 2/45) (*.f64 (pow.f64 x 4) -1/3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 2/45)) (*.f64 (pow.f64 x 8) -1/315)))
(+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 8) -1/315) (*.f64 (pow.f64 x 6) 2/45))))
(+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 2/45) (*.f64 (pow.f64 x 8) -1/315))))
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 6) -1/24))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 6) -1/24) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/320)))
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x 8) 1/320) (*.f64 (pow.f64 x 6) -1/24)))
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x 6) -1/24) (*.f64 (pow.f64 x 8) 1/320)))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (*.f64 (pow.f64 x 6) -1/24) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 -17/120960 (pow.f64 x 10)) (*.f64 (pow.f64 x 8) 1/320))))
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/320) (*.f64 -17/120960 (pow.f64 x 10))) (*.f64 (pow.f64 x 6) -1/24)))
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x 6) -1/24) (+.f64 (*.f64 (pow.f64 x 8) 1/320) (*.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(+.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(+.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(-.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2)))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 2 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 1)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1/2 (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
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(*.f64 (pow.f64 (*.f64 (sin.f64 x) 1/2) 2) 4)
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (*.f64 2 (sin.f64 x)) 2) 1/4)
(pow.f64 (sin.f64 x) 2)
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(/.f64 2 (/.f64 2 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 -1 (/.f64 -1 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(pow.f64 (sin.f64 x) 2)
(/.f64 1/2 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2))) -2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2)
(pow.f64 (sin.f64 x) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(-.f64 0 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 -1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 4 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 1/4)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 1/8)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/2 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -1/2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/4 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/8 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2) 1/4)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 8)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) 16)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -4)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (neg.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.2b
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
2.2b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 92 to 45 computations (51.1% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
0.0ms
x
@-inf
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
0.0ms
x
@inf
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
0.0ms
x
@0
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
0.0ms
x
@-inf
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))

rewrite136.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
2124×rational.json-1
2124×rational.json-2
2124×rational.json-3
1278×rational.json-simplify-35
706×exponential.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014110
1125104
244352
3194452
4599652
Stop Event
node limit
Counts
2 → 283
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change 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simplify387.0ms (1.8%)

Algorithm
egg-herbie
Rules
1428×rational.json-simplify-49
1378×rational.json-simplify-61
1196×rational.json-simplify-50
1066×rational.json-simplify-46
964×rational.json-simplify-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069823965
1237922781
2684722703
Stop Event
node limit
Counts
307 → 716
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/48 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 0 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2) (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
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(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/48 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/48 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (+.f64 (*.f64 1/48 (pow.f64 x 4)) (*.f64 17/5760 (pow.f64 x 6))) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (+.f64 (*.f64 1/48 (pow.f64 x 4)) (*.f64 17/5760 (pow.f64 x 6))) (+.f64 1/2 (*.f64 1/8 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 x 4)) (+.f64 (*.f64 17/5760 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 0 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (/.f64 0 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2) (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1))) (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 2 (/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x)))) 2))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (sin.f64 x)))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) -1))) (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) -1))) (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (/.f64 0 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2)))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))
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(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 2 (*.f64 (+.f64 (/.f64 0 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1))))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))) 2) (*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 2 (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))) 2) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 2))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))) 2) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 2))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (/.f64 -1/2 (+.f64 (cos.f64 x) -1)) (sin.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1/2 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 4))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 8))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (+.f64 (cos.f64 x) -1))))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1)))) (/.f64 (*.f64 2 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))))) (*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) -1)))) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))) (*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (+.f64 (cos.f64 x) -1) 4)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 x) -1))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1))))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 -2 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 2 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (/.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4)) 2))
(*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 2))) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 8)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) 2) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))))))

eval1.2s (5.3%)

Compiler

Compiled 43706 to 26614 computations (39.1% saved)

prune715.0ms (3.2%)

Pruning

42 alts after pruning (34 fresh and 8 done)

PrunedKeptTotal
New1457121469
Fresh72229
Picked011
Done178
Total1465421507
Error
0.2b
Counts
1507 → 42
Alt Table
Click to see full alt table
StatusErrorProgram
33.7b
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
33.7b
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
33.7b
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
32.0b
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
33.7b
(/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 x) -1))))
31.9b
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x))))
31.9b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
32.1b
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
31.9b
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
33.7b
(/.f64 -1 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
31.9b
(/.f64 -1 (*.f64 (sin.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
32.0b
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
31.9b
(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
32.0b
(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))
30.6b
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
30.4b
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
33.7b
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))))
32.0b
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
61.0b
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1))
60.3b
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
61.3b
(+.f64 -1 1)
33.1b
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
31.9b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
34.0b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))))
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
33.9b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))))
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
34.0b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))))
33.8b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
33.8b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
33.7b
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
31.9b
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
33.1b
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
31.9b
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
33.0b
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
33.8b
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 1 (cos.f64 x))))))
33.1b
(*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
31.9b
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))
24.5b
(*.f64 (sin.f64 x) 1/2)
29.8b
(*.f64 1/2 x)
Compiler

Compiled 1727 to 1143 computations (33.8% saved)

localize113.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
0.0b
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
0.1b
(*.f64 1/240 (pow.f64 x 5))
0.1b
(*.f64 1/24 (pow.f64 x 3))
Compiler

Compiled 52 to 41 computations (21.2% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/240 (pow.f64 x 5))
0.0ms
x
@inf
(*.f64 1/240 (pow.f64 x 5))
0.0ms
x
@-inf
(*.f64 1/240 (pow.f64 x 5))
0.0ms
x
@inf
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
0.0ms
x
@inf
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))

rewrite119.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1762×rational.json-simplify-35
1622×rational.json-1
1622×rational.json-2
1622×rational.json-4
1622×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01587
19987
218587
336487
474687
5194987
6420287
7586387
8731287
Stop Event
node limit
Counts
3 → 59
Calls
Call 1
Inputs
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/240 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 5) 1/480))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/240 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/120) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/60) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x (*.f64 (pow.f64 x 5) 1/120)) (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (+.f64 x (*.f64 (pow.f64 x 5) 1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 5) 1/120)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)))))

simplify755.0ms (3.4%)

Algorithm
egg-herbie
Rules
3102×rational.json-simplify-51
2938×rational.json-simplify-35
1832×rational.json-simplify-1
1050×rational.json-simplify-2
986×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01312603
12662603
26192603
321042603
437442603
540122603
641202603
742032603
842832603
943632603
1049422603
1150282603
1251142603
1351922603
1452702603
1552702603
1676082603
1777002603
1877732603
1978462603
2079172603
2179872603
Stop Event
node limit
Counts
83 → 71
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 5) 1/480))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2)
(/.f64 (*.f64 (pow.f64 x 5) 1/60) 4)
(/.f64 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) 64)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))))) 128)
(pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(-.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 0)
(*.f64 1/2 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)))
(*.f64 1/2 (+.f64 (+.f64 x (*.f64 (pow.f64 x 5) 1/120)) (*.f64 (pow.f64 x 3) 1/12)))
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (+.f64 x (*.f64 (pow.f64 x 5) 1/120))))
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))
(*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1)
(*.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 2 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))))
(*.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4))
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 1/4)
(*.f64 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4))
(*.f64 1/4 (+.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) (+.f64 x x)))
(*.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4)
(/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1)
(/.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 2)
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4)
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) 64)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))))) 128)
(pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1)
(-.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 0)
(*.f64 1/2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2))
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 5) 1/120)))
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (*.f64 (pow.f64 x 3) 1/12)))
(*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)
(*.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)))
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4))
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 1/4)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4))
(*.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)) 2)
(*.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4)
(/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 2)
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4)
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) 64)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))))) 128)
(pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 5) 1/480))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/60) 4)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8) 8)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)) 16)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))) 32)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) 64)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))))) 128)
(*.f64 1/240 (pow.f64 x 5))
(pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 0)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/2 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/2 (+.f64 (+.f64 x (*.f64 (pow.f64 x 5) 1/120)) (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (+.f64 x (*.f64 (pow.f64 x 5) 1/120))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 2 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))))
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 x 1/4))))
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48))))
(*.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 1/2)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 1/4)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))) 2)
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 x 1/4))))
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48))))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/4 (+.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) (+.f64 x x)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(/.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 2)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8) 8)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)) 16)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))) 32)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) 64)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))))) 128)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 0)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 5) 1/120)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)))
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 1/2)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 1/4)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)) 2)
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)))
(*.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 2)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8) 8)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)) 16)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))) 32)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) 64)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))))) 128)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))
(pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (+.f64 -1 (*.f64 -1/2 x)))
0.0b
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)
3.3b
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
Compiler

Compiled 40 to 34 computations (15% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
0.0ms
x
@inf
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
0.0ms
x
@-inf
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
0.0ms
x
@inf
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)
0.0ms
x
@0
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)

rewrite116.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1490×rational.json-simplify-35
1240×exponential.json-3
1240×rational.json-1
1240×rational.json-2
1240×rational.json-4
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01169
18763
218049
333343
465041
5156741
6324341
7478137
8639233
Stop Event
node limit
Counts
3 → 130
Calls
Call 1
Inputs
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)
(-.f64 1 (+.f64 -1 (*.f64 -1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 -1/2 x) -3) -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (*.f64 -1/2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (*.f64 -1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -3 (+.f64 (*.f64 -1/2 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 4) (*.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 4) (-.f64 (+.f64 (*.f64 x -1/4) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 4) (-.f64 (+.f64 1 (*.f64 x -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 x -2) 4) -1) (/.f64 (-.f64 -2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1/2 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (*.f64 -1/2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 1/2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (*.f64 -1/2 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 4) (+.f64 (*.f64 x -1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x -2) 4) (/.f64 (-.f64 -2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1) (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 -1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (-.f64 -2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 x -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 -2 x) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 x -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (-.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -2 x) 4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x -2) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -2 x) -8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 -1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -2 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 -2 x)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 x -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -2 x) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 x -2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (-.f64 x -2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 -2 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 -2 x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (*.f64 -1/2 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (*.f64 -1/2 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/2) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (*.f64 -1/2 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (*.f64 -1/2 x) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)) (-.f64 1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 -1/2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 1/2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (+.f64 -2 (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 1/2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (-.f64 -2 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x 1/2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 -1/2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 0 (-.f64 (*.f64 x 1/2) -2)))))))

simplify144.0ms (0.7%)

Algorithm
egg-herbie
Rules
1924×rational.json-simplify-35
1330×rational.json-simplify-2
974×rational.json-simplify-26
856×rational.json-simplify-52
752×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02361906
15501906
211531906
330001906
444711906
558751906
674341906
Stop Event
node limit
Counts
166 → 146
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 1/2 x) 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(-.f64 -1 (+.f64 -1 (*.f64 -1/2 x)))
(-.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 -1/2 x) -3) -1) -3))
(-.f64 1 (+.f64 1 (*.f64 -1/2 x)))
(-.f64 (+.f64 1 (*.f64 x 1/2)) 1)
(-.f64 (*.f64 x 1/2) 0)
(-.f64 0 (*.f64 -1/2 x))
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2))
(-.f64 (-.f64 -1 (*.f64 -1/2 x)) -1)
(-.f64 -3 (+.f64 (*.f64 -1/2 x) -3))
(-.f64 (/.f64 x 4) (*.f64 x -1/4))
(-.f64 (/.f64 x 4) (-.f64 (+.f64 (*.f64 x -1/4) -1) -1))
(-.f64 (/.f64 x 4) (-.f64 (+.f64 1 (*.f64 x -1/4)) 1))
(-.f64 (+.f64 (/.f64 (-.f64 x -2) 4) -1) (/.f64 (-.f64 -2 x) 4))
(*.f64 -1 (*.f64 -1/2 x))
(*.f64 1 (*.f64 x 1/2))
(*.f64 (*.f64 -1/2 x) -1)
(*.f64 (*.f64 x 1/2) 1)
(*.f64 2 (/.f64 x 4))
(*.f64 x 1/2)
(*.f64 4 (/.f64 x 8))
(*.f64 (+.f64 x x) 1/4)
(*.f64 1/2 x)
(*.f64 1/4 (+.f64 x x))
(*.f64 (/.f64 x 4) 2)
(*.f64 (/.f64 x 8) 4)
(/.f64 (*.f64 -1/2 x) -1)
(/.f64 (*.f64 x 1/2) 1)
(/.f64 x 2)
(/.f64 (+.f64 x x) 4)
(/.f64 (neg.f64 x) -2)
(/.f64 (*.f64 x 4) 8)
(/.f64 (*.f64 -2 x) -4)
(/.f64 (*.f64 x 8) 16)
(/.f64 (*.f64 2 (*.f64 x 8)) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 x 8))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 8)))) 128)
(pow.f64 (*.f64 x 1/2) 1)
(neg.f64 (*.f64 -1/2 x))
(-.f64 -1 (+.f64 (*.f64 -1/2 x) -2))
(-.f64 1 (*.f64 -1/2 x))
(-.f64 (-.f64 (*.f64 x 1/2) -2) 1)
(-.f64 (+.f64 1 (*.f64 x 1/2)) 0)
(-.f64 (*.f64 x 1/2) -1)
(-.f64 0 (+.f64 -1 (*.f64 -1/2 x)))
(-.f64 0 (-.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1)))
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -3))
(-.f64 (/.f64 x 4) (+.f64 (*.f64 x -1/4) -1))
(-.f64 (/.f64 (-.f64 x -2) 4) (/.f64 (-.f64 -2 x) 4))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1) (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2))
(*.f64 -1 (+.f64 -1 (*.f64 -1/2 x)))
(*.f64 1 (+.f64 1 (*.f64 x 1/2)))
(*.f64 (+.f64 -1 (*.f64 -1/2 x)) -1)
(*.f64 (+.f64 1 (*.f64 x 1/2)) 1)
(*.f64 -2 (/.f64 (-.f64 -2 x) 4))
(*.f64 2 (/.f64 (-.f64 x -2) 4))
(*.f64 4 (/.f64 (-.f64 -2 x) -8))
(*.f64 (-.f64 x -2) 1/2)
(*.f64 (*.f64 2 (-.f64 x -2)) 1/4)
(*.f64 1/2 (-.f64 x -2))
(*.f64 1/4 (*.f64 2 (-.f64 x -2)))
(*.f64 (/.f64 (-.f64 -2 x) 4) -2)
(*.f64 (/.f64 (-.f64 x -2) 4) 2)
(*.f64 (/.f64 (-.f64 -2 x) -8) 4)
(/.f64 (+.f64 -1 (*.f64 -1/2 x)) -1)
(/.f64 (+.f64 1 (*.f64 x 1/2)) 1)
(/.f64 (-.f64 -2 x) -2)
(/.f64 (-.f64 x -2) 2)
(/.f64 (*.f64 2 (-.f64 -2 x)) -4)
(/.f64 (*.f64 2 (-.f64 x -2)) 4)
(/.f64 (*.f64 (-.f64 -2 x) 4) -8)
(/.f64 (*.f64 4 (-.f64 x -2)) 8)
(/.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)) -16)
(/.f64 (*.f64 2 (*.f64 4 (-.f64 x -2))) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 -2 x))) 4)
(/.f64 (neg.f64 (*.f64 (-.f64 -2 x) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) -32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))) 32)
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))) 8)
(/.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) -64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2))))) 64)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x))))) 16)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4)))) 32)
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))))) 64)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))))) 64)
(pow.f64 (+.f64 1 (*.f64 x 1/2)) 1)
(neg.f64 (+.f64 -1 (*.f64 -1/2 x)))
(+.f64 -1 (neg.f64 (+.f64 (*.f64 -1/2 x) -3)))
(+.f64 (-.f64 (*.f64 x 1/2) -2) 0)
(+.f64 0 (-.f64 (*.f64 x 1/2) -2))
(+.f64 -2 (-.f64 1 (+.f64 (*.f64 -1/2 x) -3)))
(+.f64 (neg.f64 (+.f64 (*.f64 -1/2 x) -3)) -1)
(+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)) (-.f64 1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)))
(*.f64 -1 (+.f64 (*.f64 -1/2 x) -2))
(*.f64 1 (-.f64 (*.f64 x 1/2) -2))
(*.f64 (-.f64 (*.f64 x 1/2) -2) 1)
(*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2))
(*.f64 4 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4))
(*.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 1/2)
(*.f64 (+.f64 (*.f64 -1/2 x) -2) -1)
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 1/4)
(*.f64 1/2 (neg.f64 (+.f64 -2 (-.f64 -2 x))))
(*.f64 1/4 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4))
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) 2)
(*.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) -2)
(*.f64 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4)
(/.f64 (-.f64 (*.f64 x 1/2) -2) 1)
(/.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 2)
(/.f64 (+.f64 (*.f64 -1/2 x) -2) -1)
(/.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4)
(/.f64 (+.f64 -2 (-.f64 -2 x)) -2)
(/.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8) 8)
(/.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))) -4)
(/.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) -8)
(/.f64 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) 4)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) -16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)))) 64)
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))))) 16)
(pow.f64 (-.f64 (*.f64 x 1/2) -2) 1)
(neg.f64 (+.f64 (*.f64 -1/2 x) -2))
(neg.f64 (-.f64 0 (-.f64 (*.f64 x 1/2) -2)))
Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 (*.f64 1/2 x) 2)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 (*.f64 1/2 x) 2)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(-.f64 -1 (+.f64 -1 (*.f64 -1/2 x)))
(*.f64 1/2 x)
(-.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 -1/2 x) -3) -1) -3))
(*.f64 1/2 x)
(-.f64 1 (+.f64 1 (*.f64 -1/2 x)))
(*.f64 1/2 x)
(-.f64 (+.f64 1 (*.f64 x 1/2)) 1)
(*.f64 1/2 x)
(-.f64 (*.f64 x 1/2) 0)
(*.f64 1/2 x)
(-.f64 0 (*.f64 -1/2 x))
(*.f64 1/2 x)
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2))
(*.f64 1/2 x)
(-.f64 (-.f64 -1 (*.f64 -1/2 x)) -1)
(*.f64 1/2 x)
(-.f64 -3 (+.f64 (*.f64 -1/2 x) -3))
(*.f64 1/2 x)
(-.f64 (/.f64 x 4) (*.f64 x -1/4))
(-.f64 (*.f64 x 1/4) (*.f64 x -1/4))
(-.f64 (/.f64 x 4) (-.f64 (+.f64 (*.f64 x -1/4) -1) -1))
(-.f64 (/.f64 x 4) (*.f64 x -1/4))
(-.f64 (*.f64 x 1/4) (*.f64 x -1/4))
(-.f64 (/.f64 x 4) (-.f64 (+.f64 1 (*.f64 x -1/4)) 1))
(-.f64 (/.f64 x 4) (*.f64 x -1/4))
(-.f64 (*.f64 x 1/4) (*.f64 x -1/4))
(-.f64 (+.f64 (/.f64 (-.f64 x -2) 4) -1) (/.f64 (-.f64 -2 x) 4))
(+.f64 -1 (-.f64 (/.f64 (-.f64 x -2) 4) (/.f64 (-.f64 -2 x) 4)))
(+.f64 -1 (-.f64 (*.f64 -1/4 (-.f64 -2 x)) (/.f64 (-.f64 -2 x) 4)))
(*.f64 -1 (*.f64 -1/2 x))
(*.f64 1/2 x)
(*.f64 1 (*.f64 x 1/2))
(*.f64 1/2 x)
(*.f64 (*.f64 -1/2 x) -1)
(*.f64 1/2 x)
(*.f64 (*.f64 x 1/2) 1)
(*.f64 1/2 x)
(*.f64 2 (/.f64 x 4))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 4 (/.f64 x 8))
(*.f64 1/2 x)
(*.f64 (+.f64 x x) 1/4)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/4 (+.f64 x x))
(*.f64 1/2 x)
(*.f64 (/.f64 x 4) 2)
(*.f64 1/2 x)
(*.f64 (/.f64 x 8) 4)
(*.f64 1/2 x)
(/.f64 (*.f64 -1/2 x) -1)
(*.f64 1/2 x)
(/.f64 (*.f64 x 1/2) 1)
(*.f64 1/2 x)
(/.f64 x 2)
(*.f64 1/2 x)
(/.f64 (+.f64 x x) 4)
(*.f64 1/2 x)
(/.f64 (neg.f64 x) -2)
(*.f64 1/2 x)
(/.f64 (*.f64 x 4) 8)
(*.f64 1/2 x)
(/.f64 (*.f64 -2 x) -4)
(*.f64 1/2 x)
(/.f64 (*.f64 x 8) 16)
(*.f64 1/2 x)
(/.f64 (*.f64 2 (*.f64 x 8)) 32)
(*.f64 1/2 x)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 x 8))) 64)
(*.f64 1/2 x)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 8)))) 128)
(*.f64 1/2 x)
(pow.f64 (*.f64 x 1/2) 1)
(*.f64 1/2 x)
(neg.f64 (*.f64 -1/2 x))
(*.f64 1/2 x)
(-.f64 -1 (+.f64 (*.f64 -1/2 x) -2))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(-.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(-.f64 (-.f64 (*.f64 x 1/2) -2) 1)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(-.f64 (+.f64 1 (*.f64 x 1/2)) 0)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(-.f64 (*.f64 x 1/2) -1)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(-.f64 0 (+.f64 -1 (*.f64 -1/2 x)))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(-.f64 0 (-.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1)))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -3))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(-.f64 (/.f64 x 4) (+.f64 (*.f64 x -1/4) -1))
(-.f64 (/.f64 x 4) (+.f64 -1 (*.f64 x -1/4)))
(-.f64 1 (-.f64 (*.f64 x -1/4) (/.f64 x 4)))
(-.f64 1 (-.f64 (*.f64 x -1/4) (*.f64 x 1/4)))
(-.f64 1 (+.f64 (*.f64 x -1/4) (/.f64 x -4)))
(-.f64 (/.f64 (-.f64 x -2) 4) (/.f64 (-.f64 -2 x) 4))
(-.f64 (*.f64 -1/4 (-.f64 -2 x)) (/.f64 (-.f64 -2 x) 4))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1) (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 -1 (+.f64 -1 (*.f64 -1/2 x)))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 1 (+.f64 1 (*.f64 x 1/2)))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 (+.f64 -1 (*.f64 -1/2 x)) -1)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 (+.f64 1 (*.f64 x 1/2)) 1)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 -2 (/.f64 (-.f64 -2 x) 4))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 2 (/.f64 (-.f64 x -2) 4))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 4 (/.f64 (-.f64 -2 x) -8))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 (-.f64 x -2) 1/2)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 (*.f64 2 (-.f64 x -2)) 1/4)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 1/2 (-.f64 x -2))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 1/4 (*.f64 2 (-.f64 x -2)))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 (/.f64 (-.f64 -2 x) 4) -2)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 (/.f64 (-.f64 x -2) 4) 2)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(*.f64 (/.f64 (-.f64 -2 x) -8) 4)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (+.f64 -1 (*.f64 -1/2 x)) -1)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (+.f64 1 (*.f64 x 1/2)) 1)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (-.f64 -2 x) -2)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (-.f64 x -2) 2)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (-.f64 -2 x)) -4)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (-.f64 x -2)) 4)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 (-.f64 -2 x) 4) -8)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 4 (-.f64 x -2)) 8)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)) -16)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 4 (-.f64 x -2))) 16)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (neg.f64 (*.f64 2 (-.f64 -2 x))) 4)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (neg.f64 (*.f64 (-.f64 -2 x) 4)) 8)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) -32)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))) 32)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))) 8)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))) 16)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) 16)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) -64)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2))))) 64)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x))))) 16)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4)))) 32)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) 32)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))))) 128)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))))) 32)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))))) 64)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))))) 64)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(pow.f64 (+.f64 1 (*.f64 x 1/2)) 1)
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(neg.f64 (+.f64 -1 (*.f64 -1/2 x)))
(+.f64 1 (*.f64 1/2 x))
(-.f64 1 (*.f64 x -1/2))
(+.f64 -1 (neg.f64 (+.f64 (*.f64 -1/2 x) -3)))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 (-.f64 (*.f64 x 1/2) -2) 0)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 0 (-.f64 (*.f64 x 1/2) -2))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 -2 (-.f64 1 (+.f64 (*.f64 -1/2 x) -3)))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 (neg.f64 (+.f64 (*.f64 -1/2 x) -3)) -1)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)) (-.f64 1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 -1 (+.f64 (*.f64 -1/2 x) -2))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 1 (-.f64 (*.f64 x 1/2) -2))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 (-.f64 (*.f64 x 1/2) -2) 1)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 4 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 1/2)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 (+.f64 (*.f64 -1/2 x) -2) -1)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 1/4)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 1/2 (neg.f64 (+.f64 -2 (-.f64 -2 x))))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 1/4 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) 2)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) -2)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(*.f64 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (-.f64 (*.f64 x 1/2) -2) 1)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 2)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (+.f64 (*.f64 -1/2 x) -2) -1)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (+.f64 -2 (-.f64 -2 x)) -2)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8) 8)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))) -4)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)) 16)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))) 32)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) -8)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) 4)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) -16)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)))) 64)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) 8)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))))) 128)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))))) 16)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(pow.f64 (-.f64 (*.f64 x 1/2) -2) 1)
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(neg.f64 (+.f64 (*.f64 -1/2 x) -2))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))
(neg.f64 (-.f64 0 (-.f64 (*.f64 x 1/2) -2)))
(+.f64 2 (*.f64 1/2 x))
(-.f64 2 (*.f64 x -1/2))

localize91.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1/2 (sin.f64 x))
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x))))
0.2b
(/.f64 1/2 (/.f64 1/2 (sin.f64 x)))
2.2b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 33 to 20 computations (39.4% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 1/2 (sin.f64 x))
0.0ms
x
@-inf
(/.f64 1/2 (sin.f64 x))
0.0ms
x
@0
(/.f64 1/2 (sin.f64 x))
0.0ms
x
@0
(/.f64 1/2 (/.f64 1/2 (sin.f64 x)))
0.0ms
x
@0
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x))))

rewrite122.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
2284×rational.json-1
1124×exponential.json-3
1124×rational.json-2
1124×rational.json-4
1124×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
110037
227337
388237
4320537
5777037
Stop Event
node limit
Counts
3 → 143
Calls
Call 1
Inputs
(/.f64 1/2 (/.f64 1/2 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(/.f64 1/2 (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (/.f64 1 (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 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((x *.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 1 (/.f64 -1/2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 1/4 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) (*.f64 1/4 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (neg.f64 (/.f64 1/2 (sin.f64 x)))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 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(/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 -1/2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))))))))

simplify103.0ms (0.5%)

Algorithm
egg-herbie
Rules
1210×rational.json-simplify-35
1118×rational.json-simplify-51
992×rational.json-simplify-57
930×rational.json-simplify-2
674×rational.json-simplify-53
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02912701
16192689
220922671
346882671
Stop Event
node limit
Counts
171 → 182
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1/2 x)
(+.f64 (*.f64 1/12 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/12 x) (+.f64 (*.f64 7/720 (pow.f64 x 3)) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/12 x) (+.f64 (*.f64 7/720 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 31/30240 (pow.f64 x 5)))))
(+.f64 (sin.f64 x) 0)
(+.f64 0 (sin.f64 x))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 1/2 (sin.f64 x)))
(-.f64 (sin.f64 x) 0)
(-.f64 0 (neg.f64 (sin.f64 x)))
(*.f64 1/2 (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 2) 1/2)
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 2 (*.f64 1/2 (sin.f64 x)))
(*.f64 2 (/.f64 (sin.f64 x) 2))
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(*.f64 -1 (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) 4) 1/4)
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(*.f64 (neg.f64 (sin.f64 x)) -1)
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))
(*.f64 (*.f64 1/2 (sin.f64 x)) 2)
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 1/4 (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 (sin.f64 x) 2) 2)
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 2)
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 1)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(sin.f64 (-.f64 (PI.f64) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 4)))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (-.f64 1 (cos.f64 x))))
(*.f64 4 (*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x))))
(*.f64 4 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x))))
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(*.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 1 (/.f64 -1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(*.f64 (*.f64 8 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 1/4 (/.f64 1/2 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) (*.f64 1/4 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 2 (neg.f64 (/.f64 1/2 (sin.f64 x)))) (+.f64 (cos.f64 x) -1))
(*.f64 -2 (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1)))
(*.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (/.f64 -1/2 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(*.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 1 (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 4)) (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 -1/2 (-.f64 1 (cos.f64 x)))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(+.f64 (/.f64 1/2 (sin.f64 x)) 0)
(+.f64 0 (/.f64 1/2 (sin.f64 x)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 x)))))
(+.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(-.f64 (/.f64 1/2 (sin.f64 x)) 0)
(-.f64 0 (neg.f64 (/.f64 1/2 (sin.f64 x))))
(*.f64 1/2 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(*.f64 1 (/.f64 1/2 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))))
(*.f64 (/.f64 1 (sin.f64 x)) 1/2)
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 2 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) 2))
(*.f64 -1 (neg.f64 (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 2 (sin.f64 x)) 1/4)
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 2 (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))))
(*.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) -1)
(*.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) 2)
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (sin.f64 x) 2))
(*.f64 1/4 (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) 2)
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (sin.f64 x))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) 2)
(*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 2))
(pow.f64 (/.f64 1/2 (sin.f64 x)) 1)
(neg.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/120 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 3) 1/24))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 5) 1/240)))
(+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 (*.f64 (pow.f64 x 5) 1/240) (*.f64 x 1/2)))
(+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 5) 1/240)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 (pow.f64 x 5) 1/240) (+.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 7) 17/40320))))
(+.f64 (*.f64 (pow.f64 x 7) 17/40320) (+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 (*.f64 (pow.f64 x 5) 1/240) (*.f64 x 1/2))))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 (*.f64 (pow.f64 x 5) 1/240) (*.f64 (pow.f64 x 7) 17/40320))))
(+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 (*.f64 x 1/2) (+.f64 (*.f64 (pow.f64 x 5) 1/240) (*.f64 (pow.f64 x 7) 17/40320))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1/2 x)
(+.f64 (*.f64 1/12 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 x 1/12) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/12 x) (+.f64 (*.f64 7/720 (pow.f64 x 3)) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 x 1/12) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 (pow.f64 x 3) 7/720)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) 7/720)))
(+.f64 (*.f64 1/12 x) (+.f64 (*.f64 7/720 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 31/30240 (pow.f64 x 5)))))
(+.f64 (*.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) 7/720) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 (pow.f64 x 5) 31/30240))))
(+.f64 (*.f64 x 1/12) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 x 3) 7/720) (*.f64 (pow.f64 x 5) 31/30240))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) 7/720) (*.f64 (pow.f64 x 5) 31/30240))))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(+.f64 0 (sin.f64 x))
(sin.f64 x)
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))
(sin.f64 x)
(+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 1/2 (sin.f64 x)))
(sin.f64 x)
(-.f64 (sin.f64 x) 0)
(sin.f64 x)
(-.f64 0 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 1/2 (*.f64 (sin.f64 x) 2))
(sin.f64 x)
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(sin.f64 x)
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 2) 1/2)
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(sin.f64 x)
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(sin.f64 x)
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(sin.f64 x)
(*.f64 2 (*.f64 1/2 (sin.f64 x)))
(sin.f64 x)
(*.f64 2 (/.f64 (sin.f64 x) 2))
(sin.f64 x)
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(sin.f64 x)
(*.f64 -1 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 4) 1/4)
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(sin.f64 x)
(*.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))
(sin.f64 x)
(*.f64 (*.f64 1/2 (sin.f64 x)) 2)
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(sin.f64 x)
(*.f64 1/4 (*.f64 (sin.f64 x) 4))
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) 2) 2)
(sin.f64 x)
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 2)
(sin.f64 x)
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 2 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 (-.f64 (PI.f64) x))
(sin.f64 x)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 1/2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 4 (*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 4 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 1 (/.f64 -1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 8 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 1/4 (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) (*.f64 1/4 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 1/2)))
(*.f64 (*.f64 2 (neg.f64 (/.f64 1/2 (sin.f64 x)))) (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -2 (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 4)))))
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (sin.f64 x))))
(*.f64 (/.f64 1/4 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 -1/2 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 4)) (/.f64 2 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 4)))))
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (sin.f64 x))))
(*.f64 (/.f64 1/4 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (sin.f64 x))))
(*.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 -1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 1/2 (sin.f64 x)) 0)
(/.f64 1/2 (sin.f64 x))
(+.f64 0 (/.f64 1/2 (sin.f64 x)))
(/.f64 1/2 (sin.f64 x))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 x)))))
(/.f64 1/2 (sin.f64 x))
(+.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(/.f64 1/2 (sin.f64 x))
(-.f64 (/.f64 1/2 (sin.f64 x)) 0)
(/.f64 1/2 (sin.f64 x))
(-.f64 0 (neg.f64 (/.f64 1/2 (sin.f64 x))))
(/.f64 1/2 (sin.f64 x))
(*.f64 1/2 (/.f64 1 (sin.f64 x)))
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 1/2 (sin.f64 x)) 1)
(/.f64 1/2 (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(/.f64 1/2 (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(/.f64 1/2 (sin.f64 x))
(*.f64 1 (/.f64 1/2 (sin.f64 x)))
(/.f64 1/2 (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(/.f64 1/2 (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(/.f64 1/2 (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))))
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 1/2)
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(/.f64 1/2 (sin.f64 x))
(*.f64 2 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(/.f64 1/2 (sin.f64 x))
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(/.f64 1/2 (sin.f64 x))
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) 2))
(/.f64 1/2 (sin.f64 x))
(*.f64 -1 (neg.f64 (/.f64 1/2 (sin.f64 x))))
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) 1/4)
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 2 (sin.f64 x))))
(/.f64 1/2 (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))))
(/.f64 1/2 (sin.f64 x))
(*.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) -1)
(/.f64 1/2 (sin.f64 x))
(*.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) 2)
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(/.f64 1/2 (sin.f64 x))
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (sin.f64 x) 2))
(/.f64 1/2 (sin.f64 x))
(*.f64 1/4 (/.f64 2 (sin.f64 x)))
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) 2)
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (sin.f64 x) 2))
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (sin.f64 x))
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) 2)
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 4))
(/.f64 1/2 (sin.f64 x))
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 2))
(/.f64 1/2 (sin.f64 x))
(pow.f64 (/.f64 1/2 (sin.f64 x)) 1)
(/.f64 1/2 (sin.f64 x))
(neg.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))))
(/.f64 1/2 (sin.f64 x))

localize150.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
0.2b
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
0.2b
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
2.2b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 63 to 32 computations (49.2% saved)

series5.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
0.0ms
x
@inf
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
0.0ms
x
@-inf
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
0.0ms
x
@-inf
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
0.0ms
x
@0
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))

rewrite271.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1562×exponential.json-3
1562×rational.json-1
1562×rational.json-2
1562×rational.json-4
1562×rational.json-3
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
015105
1118105
231693
3101693
4441573
Stop Event
node limit
Counts
3 → 178
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
Outputs
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(sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))))

simplify110.0ms (0.5%)

Algorithm
egg-herbie
Rules
1588×rational.json-simplify-53
1394×rational.json-simplify-2
1394×rational.json-simplify-35
898×rational.json-simplify-61
834×rational.json-simplify-44
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03665342
112735282
253545258
Stop Event
node limit
Counts
206 → 228
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 2 x)
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5)))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) (*.f64 (sin.f64 x) 2)))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (sin.f64 x)))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) 4) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)))
(/.f64 1/2 (/.f64 (sin.f64 x) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x)))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) -2)) (*.f64 (sin.f64 x) 2)))
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 2 (/.f64 1/2 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)))
(/.f64 4 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x))))
(/.f64 4 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) (sin.f64 x)))
(/.f64 4 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (sin.f64 x) 4))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (sin.f64 x) -2) (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) -2))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1/2)
(/.f64 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2)
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))))
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 4))
(/.f64 -2 (/.f64 (*.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4) (*.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 4)
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 2 (*.f64 (sin.f64 x) 4)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (+.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))))
(/.f64 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 (neg.f64 (sin.f64 x)) 4))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 2 (+.f64 (cos.f64 x) -1))) (/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (*.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) -2))
(/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 8)
(/.f64 (+.f64 (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))
(/.f64 (+.f64 (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) 4))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)) 4)
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) 4)
(/.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) 4)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) 1/2))
(/.f64 (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (neg.f64 (sin.f64 x))) 2)
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 1/2))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))) 2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) 2) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))) -1)
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 4)) (-.f64 0 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) -2))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 0)
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 2 (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 2 (/.f64 1/2 (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1)
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 2)
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) 4)
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 2 (*.f64 2 (/.f64 1/2 (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) -2) (*.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 2 (+.f64 (cos.f64 x) -1)))))
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 2 (/.f64 -1/2 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) -2)) (*.f64 2 (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))) 8)
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2) (/.f64 -1/2 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2) 1/2)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) -2)) 2) (+.f64 (cos.f64 x) -1))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1)
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(-.f64 0 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(*.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)))
(*.f64 2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 2 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) 1/2)
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(*.f64 4 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1)
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2)
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))
(*.f64 (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) 2)
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) (sin.f64 x))
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 1/2))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4)) 4)
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 (sin.f64 x) -2))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 2 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 -1/2 (pow.f64 x 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 2 x)
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 x -1/6) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 x -1/6) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 (pow.f64 x 3) -1/360)))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5)))))
(+.f64 (*.f64 x -1/6) (+.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 (pow.f64 x 5) -1/15120)) (*.f64 (pow.f64 x 3) -1/360)))
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (*.f64 x -1/6) (*.f64 (pow.f64 x 5) -1/15120)) (*.f64 (pow.f64 x 3) -1/360)))
(+.f64 (*.f64 x -1/6) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 x 5) -1/15120) (*.f64 (pow.f64 x 3) -1/360))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) 4) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1/2 (/.f64 (sin.f64 x) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) -2)) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 2 (/.f64 1/2 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) -2) (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 2 (+.f64 (cos.f64 x) -1))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (/.f64 (sin.f64 x) (/.f64 -1/4 (/.f64 (/.f64 (sin.f64 x) 2) (sin.f64 x))))))
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(/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) -1) 4))
(/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 4 (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2) (/.f64 -1/2 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2) 1/2)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) 2) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) -2)) 2) (+.f64 (cos.f64 x) -1))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(-.f64 0 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (sin.f64 x) (*.f64 2 (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 2 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (sin.f64 x) (*.f64 2 (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (sin.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) 1/2)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 4 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 4 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/4))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4))))
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 1/4 (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))))
(*.f64 (sin.f64 x) (*.f64 -2 (/.f64 1/2 (+.f64 (cos.f64 x) -1))))
(*.f64 -2 (*.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (sin.f64 x)))
(*.f64 -2 (*.f64 (sin.f64 x) (/.f64 1/2 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2)
(*.f64 (sin.f64 x) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (sin.f64 x) (*.f64 2 (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (sin.f64 x) (*.f64 2 (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) 2)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 1/2))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4)) 4)
(*.f64 4 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 4 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/4))
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (sin.f64 x) 4))
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4))))
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 1/4 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 (sin.f64 x) -2))
(*.f64 (sin.f64 x) (*.f64 -2 (/.f64 1/2 (+.f64 (cos.f64 x) -1))))
(*.f64 -2 (*.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (sin.f64 x)))
(*.f64 -2 (*.f64 (sin.f64 x) (/.f64 1/2 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
0.3b
(pow.f64 (sin.f64 x) 2)
2.2b
(-.f64 1 (cos.f64 x))
2.6b
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))
Compiler

Compiled 91 to 60 computations (34.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))
0.0ms
x
@inf
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))
0.0ms
x
@-inf
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))

rewrite93.0ms (0.4%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01227
18923
218721
338411
477911
5180911
6401411
7654711
Stop Event
node limit
Counts
1 → 57
Calls
Call 1
Inputs
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.f64 2 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 -2 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (*.f64 (pow.f64 (sin.f64 x) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 16) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 x) 4) 2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))))))

simplify260.0ms (1.2%)

Algorithm
egg-herbie
Rules
1828×rational.json-simplify-1
1696×rational.json-simplify-35
1368×rational.json-simplify-53
1068×rational.json-simplify-2
870×rational.json-simplify-48
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134875
1286875
21054875
32656875
45032875
55681875
65956875
76189875
86454875
97924875
Stop Event
node limit
Counts
69 → 68
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(-.f64 -1 (-.f64 -1 (pow.f64 (sin.f64 x) 2)))
(-.f64 1 (-.f64 1 (pow.f64 (sin.f64 x) 2)))
(-.f64 2 (-.f64 2 (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(-.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) -2))
(-.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 -2 (-.f64 -2 (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1)
(-.f64 (+.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (*.f64 (pow.f64 (sin.f64 x) 2) -1/2))
(-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))
(*.f64 4 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4))
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) 4)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 16) 1/16)
(*.f64 (pow.f64 (/.f64 (sin.f64 x) 4) 2) 16)
(*.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) 16))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -4)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8) -8)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) -16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) -32)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) 4)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) 8)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) -16)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) -32)
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2))) 4)
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4))) 8)
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)))) 32)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (neg.f64 (sin.f64 x)) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 2/45 (pow.f64 x 6))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6))) (*.f64 -1/315 (pow.f64 x 8))))
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6))) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (*.f64 -1/3 (pow.f64 x 4))))
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4))) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 2/45 (pow.f64 x 6)))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(-.f64 -1 (-.f64 -1 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 1 (-.f64 1 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 2 (-.f64 2 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(-.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) -2))
(pow.f64 (sin.f64 x) 2)
(-.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1)
(pow.f64 (sin.f64 x) 2)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 -2 (-.f64 -2 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(-.f64 (+.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(pow.f64 (sin.f64 x) 2)
(-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (*.f64 (pow.f64 (sin.f64 x) 2) -1/2))
(pow.f64 (sin.f64 x) 2)
(-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(pow.f64 (sin.f64 x) 2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))
(pow.f64 (sin.f64 x) 2)
(*.f64 4 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4))
(pow.f64 (sin.f64 x) 2)
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(pow.f64 (sin.f64 x) 2)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
(pow.f64 (sin.f64 x) 2)
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(pow.f64 (sin.f64 x) 2)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)
(pow.f64 (sin.f64 x) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(pow.f64 (sin.f64 x) 2)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) 4)
(pow.f64 (sin.f64 x) 2)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 16) 1/16)
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (/.f64 (sin.f64 x) 4) 2) 16)
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))
(*.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) 16))
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8) -8)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) -16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) 32)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) -32)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) 4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) 8)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) -16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) 64)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) -32)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2))) 4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4))) 8)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)))) 32)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (neg.f64 (sin.f64 x)) 2)
(pow.f64 (sin.f64 x) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)

eval340.0ms (1.5%)

Compiler

Compiled 18740 to 12991 computations (30.7% saved)

prune240.0ms (1.1%)

Pruning

42 alts after pruning (32 fresh and 10 done)

PrunedKeptTotal
New96411975
Fresh82129
Picked101
Done21012
Total975421017
Error
0.2b
Counts
1017 → 42
Alt Table
Click to see full alt table
StatusErrorProgram
33.7b
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
33.7b
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
32.0b
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
33.7b
(/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 x) -1))))
31.9b
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x))))
33.0b
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x))))
33.7b
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))))
33.0b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 2))
33.0b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
31.9b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
32.1b
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
31.9b
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))))
31.9b
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
31.9b
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
31.9b
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
33.7b
(/.f64 -1 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
32.0b
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
31.9b
(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
32.0b
(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))
60.3b
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2))
30.6b
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
30.4b
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
32.0b
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
61.0b
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1))
61.3b
(+.f64 -1 1)
33.1b
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
34.0b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2)))
33.9b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1)))
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
33.9b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))))
33.7b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
34.0b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))))
33.8b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
33.8b
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
31.9b
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
33.1b
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
31.9b
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
33.0b
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
33.8b
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 1 (cos.f64 x))))))
24.5b
(*.f64 (sin.f64 x) 1/2)
29.8b
(*.f64 1/2 x)
Compiler

Compiled 895 to 599 computations (33.1% saved)

regimes147.0ms (0.7%)

Counts
71 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
(*.f64 (sin.f64 x) 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))
(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 -1 (*.f64 (sin.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 2))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2)))
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))))
(*.f64 (sin.f64 x) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x))
(/.f64 -1 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (sin.f64 x) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
Calls

2 calls:

78.0ms
x
41.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.6b3(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 1503 to 842 computations (44% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.000973805533893612
0.001893126249066911
0.0ms
-0.012825457001318574
-0.0
Compiler

Compiled 12 to 9 computations (25% saved)

regimes52.0ms (0.2%)

Counts
22 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
(*.f64 (sin.f64 x) 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))
(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 -1 (*.f64 (sin.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
Calls

2 calls:

29.0ms
x
18.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.6b3(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 227 to 157 computations (30.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.000973805533893612
0.001893126249066911
0.0ms
-0.012825457001318574
-0.0
Compiler

Compiled 12 to 9 computations (25% saved)

regimes28.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
(*.f64 (sin.f64 x) 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
Calls

2 calls:

15.0ms
x
10.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.6b3(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 81 to 63 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.000973805533893612
0.001893126249066911
0.0ms
-0.012825457001318574
-0.0
Compiler

Compiled 12 to 9 computations (25% saved)

regimes30.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
(*.f64 (sin.f64 x) 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Calls

2 calls:

18.0ms
x
10.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.6b3(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 72 to 58 computations (19.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.000973805533893612
0.001893126249066911
0.0ms
-0.012825457001318574
-0.0
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
(*.f64 (sin.f64 x) 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1))
Outputs
(*.f64 (sin.f64 x) 1/2)
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
24.5b1x
Compiler

Compiled 57 to 48 computations (15.8% saved)

regimes5.0ms (0%)

Accuracy

Total -31.8b remaining (-106.7%)

Threshold costs -31.8b (-106.7%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1))
Outputs
(*.f64 1/2 x)
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
29.8b1x
Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify7.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042554
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) 1/2)
(*.f64 1/2 x)
Outputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) 1/2)
(*.f64 1/2 x)
Compiler

Compiled 197 to 130 computations (34% saved)

soundness124.0ms (0.6%)

Algorithm
egg-herbie
Rules
1296×rational.json-simplify-35
1002×rational.json-simplify-39
900×rational.json-simplify-2
726×rational.json-simplify-1
660×exponential.json-simplify-26
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02303147
14883127
218653007
342733007
472393007
Stop Event
node limit
Compiler

Compiled 31 to 25 computations (19.4% saved)

end78.0ms (0.4%)

Compiler

Compiled 192 to 118 computations (38.5% saved)

Profiling

Loading profile data...